STA301 Grand Quiz Solution Mega file ( Statistics and Probability )

STA301 Grand Quiz Solution file ( Statistics and Probability )

STA301 Grand Quiz Solution file ( Statistics and Probability )

Question No: 1  For a particular data the value of Pearson’s coefficient of skewness is greater then zero. What will be the shape of distribution?

► Negatively skewed

► J-shaped

► Symmetrical

► Positively skewed (Page 109)
Question No: 2  In measures of relative dispersion unit of measurement is:

► Changed

► Vanish

► Does not changed

► Dependent
Question No: 3  The F-distribution always ranges from:

► 0 to 1

► 0 to -∞

► -∞ to +∞

► 0 to +∞ (Page 312) 2
Question No: 4  In chi-square test of independence the degrees of freedom are:

► n - p

► n - p-1

► n - p- 2

► n – 2
Question No: 5  The Chi- Square distribution is continuous distribution ranging from:

► -∞ ≤ χ2≤ ∞

► -∞ ≤χ2 ≤1

► -∞ ≤χ2 ≤0

► 0 ≤ χ2≤ ∞ (Page 307)
Question No: 6  If X and Y are random variables, then
E X Y ( - ) is equal to:

►E X E Y ( ) ( + )

►E X E Y ( ) ( - ) (Page 202)

►X E Y - ( )

►E X Y ( )-
Question No: 7  If ŷ is the predicted value for a given x-value and b is the y-intercept then the equation of a regression line for an independent variable x and a dependent variable y is:

► ŷ = mx + b, where m = slope (Page 121)

► x = ŷ + mb, where m = slope

► ŷ = x/m + b, where m = slope

► ŷ = x + mb, where m = slope
Question No: 8  The location of the critical region depends upon:

► Null hypothesis

► Alternative hypothesis (Page 281)

 
► Value of alpha

► Value of test-statistic 3

Question No: 1  The t-Distribution is……………. Spread out then the standard normal Distribution.

► Less

►More (Page 293)

►Equally

►Not
Question No: 2  To find the confidence internal for the ratio of two variances we use:

►F-Distribution (Page 311)

►Z-Distribution

►Chi-Square Distribution

►T-Distribution
Question No: 3  How many percent of values are less then 4th deciles in a symmetric distribution.
►14

►24

►4

►40 (Page 70)
Question No: 4  The combined distribution of more than two random variables is:

►Bivariate Distribution

►Marginal Distribution

►Joint Distribution (Page 194)

►Univariate Distribution
Question No: 5  The degrees of freedom for a T-test with sample size 14 is:

►14

►13 (Page 341)

►7

►0 4
Question No: 6  Which of the falling is true for the binomial distribution b(x: n, p):

►Mean > Variance (Page 214)

►Mean < Variance

►Mean = Variance

►Mean = Standard Deviation
Question No: 7  What is m f in the formula of mode?

►first frequency

►last frequency

►middle frequency

►highest frequency (Page 54)

Question No: 1  The parameters of the binomial distribution b(x; n, p) are:

► x & n

► x & p

► n & p (Page 212)

► x, n & p
Question No: 2  Which of the following is true for the Poisson distribution:

► mean > variance

► mean < variance

► mean = variance (Page 223)

►mean= standard deviation
5
Question No: 3  If a significance level of 1% is used rather than 5%, the null hypothesis is:

► More likely to be rejected

► Less likely to be rejected Click here for detail

► Just as likely to be rejected

► None of the above
Question No: 4  The variance of the chi-square distribution is:

► 2v (Page 307)

► v -1

► v - 2

► v
Question No: 5  The degrees of freedom for a t-test with sample size 10 is:

►5

► 8

► 9 (Page 298)

► 10
FINAL TERM EXAMINATION
Spring 2010
STA301- Statistics and Probability (Session - 4)
Question No: 1  The value of χ2can never be :

► Zero–

► Less than 1

► Greater than 1

► Negative (Page 307)

Question No: 3  The F-distribution always ranges from:

► 0 to 1

► 0 to -∞

► -∞ to +∞

► 0 to +∞ (Page 312) rep
Question No: 4  The total number of samples when sampling is done with replacement :

► N n (Page 237)

►N n
C

►1
N n
N
- -

► 1
7
Question No: 5  ANOVA was introduced by :

► Helmert

► Pearson

► R.A Fisher (Page 320)

► Francis
Question No: 6  The test statistic used in analysis of variance procedure follow the ....... distribution.:

► χ2

► T

► Z

► F (Page 326)
Question No: 7  For testing of hypothesis about population proportion , we use:

► Z-test (Page 292)

► t-Test

► Both Z & T-test

► F test
Question No: 8  If X and Y are random variables, then
E X Y ( - ) is equal to:

 
►E X E Y ( ) ( + )

►E X E Y ( ) ( - ) (Page 202) rep

►X E Y - ( )

►E X Y ( )-
Question No: 9  A die is rolled. What is the probability that the number rolled is greater than 2 and even:

► 1/2

► 1/3 2/6 = 1/3

► 2/3

 
► 5/6

Question No: 10  The probability of drawing a king of spade from a pack of 52 cards is:

► 1/4

► 1/13

► 1/26

► 1/52
Question No: 11  An estimator T is said to be unbiased estimator of q if

► E (T) =q (Page 258)
► E (T) =T
► E (T) =0
► E (T) =1
Question No: 12  From point estimation, we always get:

► Single value (Page 257)
► Two values
► Range of values
► Zero
Question No: 13  The best unbiased estimator for population variance
2
s is:
► Sample mean
► Sample median
► Sample proportion

► Sample variance (Page 260)
Question No: 14  When c is a constant, then E(c) is:
► 0
► 1

► c (Page 180)
► -c
9
Question No: 15  Var(4X + 5) =__________
► 16 Var (X)

► 16 Var (X) + 5 (correct)
► 4 Var (X) + 5
► 12 Var (X)
Question No: 16  When f(x) is continuous probability function, then P(X = 1) is:
► 1
► ¥
► -¥

► 0 (Page 188)
Question No: 17  The hyper geometric random variable is a(an):
► Continuous variable

► Discrete variable Click here for detail
► Undefined
► Independent variable
Question No: 18  From a sample of 200 people were asked whether they like a particular product. Fifty said 'yes' and remain said 'no', assuming ‘yes’ means a success, which of the following is correct?
► Sample proportion p=0.33

► Sample proportion p=0.25 (Page 245)
► Population proportion p= 0.33
► Population proportion p=0.25
Question No: 19  In any data set, what percent of values fall in the interval
Median Q D ± . ?

► 50 per cent (Page 84)
► 68.5 per cent
► 95.4 per cent
► 99 per cent
10
Question No: 20  If
( )
5
1
i 20 0, .......
i
X then X
=
å - = =

► 0 (Page 258)
► 20
► 5
► 25
Question No: 21  The height of a student is 60 inches. This is an example of ...........?

► Continuous data (correct)
► Qualitative data
► Categorical data
► Discrete data
Question No: 22  In Statistics, we have MSE which is abbreviation of……

► Mean square error (Page 330)
► Measured square error
► Medical screening exam
► Major sampling error
Question No: 23  Which one is the formula of mid range:
► x x m - 0
► x x 0 - m
►
0
2
m
x x -

►
0
2
m
x x +
(Page 80)
11
Question No: 24  The deviation of a distribution from symmetry is called:
► Kurtosis

► Skewness
► Dispersion
► Flatness
Question No: 25  If E is an impossible event, then P(E) is:
► 1
► 2

► 0 (Page 146)
► 0.5
Question No: 26  If a data set has the even number of observations, the median :
► Is the average value of the two middle items
► Can not be determined
► must be equal to the mean

► Is the average value of the two middle items when all items are arranged in ascending order
Click here for detail
Question No: 27  For the Poisson distribution
0.135 1
0.135
( 1)
1!
e
P X
-
= = the mean value is :
► 2
► 5
►10

► 0.135 (Page 222)
Question No: 28  In testing of hypothesis, we always begin it with assuming that:

► Null hypothesis is true (Page 277)
► Alternative hypothesis is true
► Sample size is large
► Population is normal
12
Question No: 29  Variance of the t-distribution is given by the formula:
►
2 2
-
=
n n
s
►
2
2
2
-
=
n n
s
►
1
2
-
=
n n
s

►
2
2
-
=
n n
s
(Page 293)
Question No: 30  If a continuous probability distribution has
b2 = 2.14 then what will be peakedness of the distribution?

► Platykurtic (Page 119)
► Mesokurtic
► Leptokutic
► Moderately skewed
FINAL TERM EXAMINATION
Spring 2010
STA301- Statistics and Probability (Session - 4)
Question No: 1  When each outcome of a sample space has equal chance to occur as any other, the outcomes are called:
► Mutually exclusive

► Equally likely (Page 117)
► Not mutually exclusive
► Exhaustive
13
Question No: 2  The mean of the F-distribution is:
►
2
2 1 1 1 ñ
-
forv
v
v

►
2
2 2 2 2 ñ
-
forv
v
v
(Page 312)
►
2
2 1 1 1
³
-
forv
v
v
►
2
2 1 2 2
£
-
forv
v
v
Question No: 3  The LSD test is applied only if the null hypothesis is:

► Rejected (Page 331)
► Accepted
► No conclusion
► Acknowledged
Question No: 4  Analysis of variance is a procedure that enables us to test the equality of several:
► Variances

► Means (Page 320)
► Proportions
► Groups
Question No: 5  ANOVA was introduced by :
► Helmert
► Pearson

► R.A Fisher (Page 320) rep
► Francis
14
Question No: 6  For testing of hypothesis about population proportion , we use:

► Z-test (Page 292) rep
► t-Test
► Both Z & T-test
► F test
Question No: 7  If a random variable X denotes the number of heads when three distinct coins are tossed, the X assumed the values:

► 0,1,2,3
► 1,3,3,1
► 1, 2, 3
► 3, 2
Question No: 8  If X and Y are independent variables, then E (XY) is:
► E(XX)

► E(X).E(Y) (Page 202)
► X.E(Y)
► Y.E(X)
Question No: 9  The parameters of the binomial distribution b(x; n, p) are:
► x & n
► x & p

► n & p (Page 212) rep
► x, n & p
Question No: 10  If P (E) is the probability that an event will occur, which of the following must be false:

► P(E)= - 1
► P(E)=1
► P(E)=1/2
► P(E)=1/3
15
Question No: 11  An estimator T is said to be unbiased estimator of q if

► E (T) =q (Page 258) rep
► E (T) =T
► E (T) =0
► E (T) =1
Question No: 12  The best unbiased estimator for population variance
2
s is:

► Sample mean (Page 260) rep
► Sample median
► Sample proportion
► Sample variance
Question No: 13  The sample variance
2
2 ( ) x x
S
n
å -
= is:
► Unbiased estimator of
2
s

► Biased estimator of
2
s (Page 260)
► Unbiased estimator of
m
► None of these
Question No: 14  When c is a constant, then E(c) is:
► 0
► 1

► c (Page 180) rep
► -c
16
Question No: 15  If f (x, y) is bivariate probability density function of continuous r.v.'s X and Y then
g x ( ) is:
►
f x y dx ( , )
¥
-¥
ò
►
f x y dy ( , )
¥
-¥
ò

►
f x y dx dy ( , )
¥ ¥
-¥ -¥
ò ò
(Page 199)
►
( , )
b d
a c
ò ò f x y dy dx
Question No: 16  The analysis of variance technique is a method for :
► Comparing F distributions

► Comparing three or more means (Page 320)
► Measuring sampling error
► Comparing variances
Question No: 17  The continuity correction factor is used when:
► The sample size is at least 5
► Both nP and n (1-P) are at least 30

► A continuous distribution is used to approximate a discrete distribution Click here for detail
► The standard normal distribution is applied
Question No: 18  Stem and leaf is more informative when data is :
► Equal to 100
► Greater Than 100

► Less than 100 click here for detail
► In all situations
17
Question No: 19  The branch of Statistics that is concerned with the procedures and methodology for obtaining valid conclusions is called:
► Descriptive Statistics
► Advance Statistics

► Inferential Statistics (Page 237)
► Sampled Statistics
Question No: 20  Which of the following is a systematic arrangement of data into rows and columns?
► Classification

► Tabulation
► Bar chart
► Component bar chart
Question No: 21  In normal distribution Q.D =
► 0.5s
► 0.75s
► 0.7979s

► 0.6745s Click here for detail
Question No: 22  In normal distribution
b2 =
► 1
► 2

► 3 (Page 119)
► 0
Question No: 23  If you connect the mid-points of rectangles in a histogram by a series of lines that also touches the x-axis from both ends, what will you get?
► Ogive
► Frequency polygon

► Frequency curve (Page 38)
► Historigram
18
Question No: 24  Which one of the following statements is true regarding a population?

► It must be a large number of values (Page 12)
► It must refer to people
► It is a collection of individuals, objects, or measurements
► It is small part of whole
Question No: 25  When
Q and Q 1 3 = = 2 4 ,what is the value of Median, if the distribution is symmetrical:
► 1

► 2
► 3
► 4
Question No: 26  In a simple linear regression model, if it is assumed that the intercept parameter is equal to zero, then:
► The regression line will pass through the origin
► The regression line will pass through the point (0,10).
► The regression line will pass through the point (0,-10).

► The slope of the line will also be equal to 0.
Question No: 27  The degrees of freedom for a t-test with sample size 10 is:
► 5
► 8

► 9 (Page 298) rep
► 10
Question No: 28  In testing of hypothesis, we always begin it with assuming that:

► Null hypothesis is true (Page 277) rep
► Alternative hypothesis is true
► Sample size is large
► Population is normal
19
Question No: 29  A failing student is passed by an examiner is an example of:
► Type I error

► Type II error
► Correct decision
► No information regarding student exams
Question No: 30  How to find
P X Y ( 1) + £ ?
► f(0, 0) + f(0, 1) + f(1, 2)
► f(2, 0) + f(0, 1) + f(1, 0)
► f(0, 0) + f(1, 1) + f(1, 0)
► f(0, 0) + f(0, 1) + f(1, 0)
FINAL TERM EXAMINATION
Spring 2010
STA301- Statistics and Probability (Session - 3)
Question No: 1  The total number of samples when sampling is done with replacement :

► N n (Page 237) rep
►
N n
C
►
1
N n
N
- -
► 1
20
Question No: 2  The test statistic used in analysis of variance procedure follow the ....... distribution.:
► χ2
► T
► Z

► F (Page 326) rep
Question No: 3  If a random variable X denotes the number of heads when three distinct coins are tossed, the X assumed the values:

► 0,1,2,3 rep
► 1,3,3,1
► 1, 2, 3
► 3, 2
Question No: 4  If X and Y are independent variables, then E (XY) is:
► E(XX)

► E(X).E(Y) (Page 202) rep
► X.E(Y)
► Y.E(X)
Question No: 5  The sample variance
2
2 ( ) x x
S
n
å -
= is:
► Unbiased estimator of
2
s

► Biased estimator of
2
s (Page 260) rep
► Unbiased estimator of
m
► None of these
21
Question No: 6  When c is a constant, then E(c) is:
► 0
► 1

► c (Page 180) rep
► -c
Question No: 7  When the random variable X and Y are independent, its co-variance is:
► One
► Negative

► Zero (Page 207)
► Positive
Question No: 8  When f (x, y) is bivariate probability density function of continuous r.v.'s X and Y, then
f x y dx dy ( , )
¥ ¥
-¥ -¥
ò ò is equal to:

► 1 (Page 199)
► 0
► -1
► ¥
Question No: 9  Which dispersion is calculated from all the observations?

► Standard deviation
► Quartile deviation
► Rang
► Coefficient of Rang
Question No: 10  Standard deviation of the data 7, 7, 7, 7, 7, 7, 7 is
► 49
► Sqrt (7)

► 0 Standard deviation will always be zero if all the values in data are same
► 7
22
Question No: 11  Which one is the poor measure of dispersion in open-end distribution?

► Range
► Standard deviation
► Mean deviation
► Variance
Question No: 12  Men tend to marry women who are slightly younger than themselves. Suppose that every man married a woman who was exactly 5 years younger than themselves. Which of the following is correct:
► The correlation is −5
► The correlation is 5

► The correlation is 1 Click here for detail
► The correlation is 0
Question No: 13  Sum of absolute deviations of the values is least when deviations are taken from:

► Mean
► Median
► Mode
► Geometric mean
Question No: 14  Which of the following measures of central location is affected most by extreme values:
► Geometric Mean
► Median

► Mean Click here for detail
► Mode
Question No: 15  Which of the following is a critical value of Z when 1 95% - = a for one tailed test:
► 2.58
► 1.645
► 1.25

► 1.96
23
Question No: 16  In normal distribution Q.D =
► 0.5s
► 0.75s
► 0.7979s

► 0.6745s Click here for detail rep
Question No: 17  The difference between expected value of statistic and parameter is called:
► Non-sampling error
► Sampling error
► Standard error

► Bias Click here for detail
Question No: 18  In Statistics, we have MSE which is abbreviation of……

► Mean square error (Page 330) rep
► Measured square error
► Medical screening exam
► Major sampling error
Question No: 19  The following data shows the number of hours worked by 200 statistics students. Number of Hours Frequency 0 - 9 40 10 - 19 50 20 - 29 70 30 - 39 40 What is its class interval?
► 9

► 10
► 11
► Varies from class to class
24
Question No: 20  Which one is the formula of range:

► x x m - 0
► x x 0 - m
►
0
2
m
x x -

►
0
2
m
x x +
(Page 80)
Question No: 21  Which one is the formula of Geometric mean for group data:
►
log
log
f X
anti
n
é ù
ê ú
ë û
å

►
log
log
X
anti
n
é ù
ê ú
ë û
å
(Page 75)
►
log
log
f X
anti
n
é ù
ê ú
ë û
å
►
1
log
log
n
i
f X
anti
f
=
é ù
ê ú
ê ú
ê ú
ê ú ë û
å
å
Question No: 22  The F-distribution has …… parameter.
► One
► No

► Two (Page 312)
► Three
25
Question No: 23  The sample mean
X
X
n
S
= is an unbiased estimator of population mean
( ) m , because:
► E X ( ) 0 =

► E X ( ) = m (Page 259)
► E X ( ) > m
► E X ( ) < m
Question No: 24  For a particular hypothesis test, a = 0.05and b = 0.10 . The power of test equals to:
► 0.95
► 0.25

► 0.90
► 0.14
Question No: 25  The degrees of freedom for a t-test with sample size 10 is:
► 5
► 8

► 9 (Page 298) rep
► 10
Question No: 26  The degrees of freedom for a t-test with sample size 14 is:
► 14

► 13 (Page 341) rep
► 7
► 0
Question No: 27  The degrees of freedom for a t-test with sample size 6 is:
► 1
► 3

► 5 (Page 341)
► 7
26
Question No: 28  In testing of hypothesis, we always begin it with assuming that:

► Null hypothesis is true (Page 277) rep
► Alternative hypothesis is true
► Sample size is large
► Population is normal
Question No: 29  If a continuous probability distribution has
b2 = 2.14 then what will be peakedness of the distribution?

► Platykurtic (Page 119) rep
► Mesokurtic
► Leptokutic
► Moderately skewed
Question No: 30  The difference between statistic and parameter is called:

► Bias Click here for detail rep
► Standard error
► Sampling error
► None of above
FINAL TERM EXAMINATION
Fall 2009
STA301- Statistics and Probability (Session - 4)
Question No: 1  Mean deviation is always:
► Less than S.D
► Greater than S.D
► Greater or equal to S.D

► Less or equal to S.D Click here for detail
27
Question No: 2  The value of χ2can never be :
► Zero
► Less than 1
► Greater than 1

► Negative (Page 307) rep
Question No: 3  The mean of the F-distribution is:
►
2
2 1 1 1 ñ
-
forv
v
v

►
2
2 2 2 2 ñ
-
forv
v
v
(Page 312) rep
►
2
2 1 1 1
³
-
forv
v
v
►
2
2 1 2 2
£
-
forv
v
v
Question No: 4  If X and Y are random variables, then
E X Y ( - ) is equal to:
►
E X E Y ( ) ( + )

►
E X E Y ( ) ( - ) (Page 202) rep
►
X E Y - ( )
►
E X Y ( )-
28
Question No: 5  Evaluate: (9-4)!
► 362880

► 120
► 24
► 6
Question No: 6  Which formula represents the probability of the complement of event A:
► 1 + P (A)

► 1 - P (A) (Page 156)
► P (A)
► P (A) -1
Question No: 7  Ideally the width of confidence interval should be:

► 0 (Page 270)
► 1
► 99
► 100
Question No: 8  If the sampling distribution of X is normal, the interval
3
m s x x ± includes:
► 99% of the sample means

► 99.73% of the sample means (Page 228)
► 98% of the sample means
► 95% of the sample means
Question No: 9  The probability distribution of a statistic is called the:
► Population distribution
► Frequency distribution

► Sampling distribution click here for detail
► Sample distribution
29
Question No: 10  An estimator T is said to be unbiased estimator of q if

► E (T) =q (Page 258) rep
► E (T) =T
► E (T) =0
► E (T) =1
Question No: 11  If the following is a probability distribution, then what is the value of 'a': X 1 2 3 P(X) 0.1 a 0.1
► 0.6

► 0.8
► 0.2
► 0.4
Question No: 12  A discrete probability function f(x) is always:
► Non-negative
► Negative

► One (Page 168)
► Zero
Question No: 13  An expected value of a random variable is equal to:
► Variance

► Mean (Page 191)
► Standard deviation
► Covariance
30
Question No: 14  The
f x ( |1) = __________:
►
f (1,1)
►
f x ( ,1)

►
( )
( )
,1
1
f x
h (Page 198)
►
( )
( )
f x,1
h x
Question No: 15  The area under a normal curve between 0 and -1.75 is
► .0401
► .5500

► .4599 (Page 230)
► .9599
Question No: 16  The continuity correction factor is used when:
► The sample size is at least 5
► Both nP and n (1-P) are at least 30

► A continuous distribution is used to approximate a discrete distribution Click here for detail
► The standard normal distribution is applied
Question No: 17  Which of the following is impossible in sampling:
► Destructive tests

► Heterogeneous
► To make voters list
► None of these
31
Question No: 18  Which of the following is a systematic arrangement of data into rows and columns?
► Classification

► Tabulation rep
► Bar chart
► Component bar chart
Question No: 19  Which one of the following statements is true regarding a sample?

► It is a part of population (Page 13)
► It must contain at least five observations
► It refers to descriptive statistics
► It produces True value
Question No: 20  The data for an ogive is found in which distribution?
► A relative frequency distribution
► A frequency distribution
► A joint frequency distribution

► A cumulative frequency distribution (Page 43)
FINAL TERM EXAMINATION
Fall 2009
STA301- Statistics and Probability
Question No: 1  10! =………….
► 362880

► 3628800
► 362280
► 362800
32
Question No: 2  When E is an impossible event, then P(E) is:
► 2

► 0 (Page 146) rep
► 0.5
► 1
Question No: 3  The value of χ2can never be :
► Zero
► Less than 1
► Greater than 1

► Negative (Page 307) rep
Question No: 4  The curve of the F- distribution depends upon:

► Degrees of freedom (Page 312)
► Sample size
► Mean
► Variance
Question No: 5  If X and Y are random variables, then
E X Y ( - ) is equal to:
►
E X E Y ( ) ( + )

►
E X E Y ( ) ( - ) (Page 202) rep
►
X E Y - ( )
►
E X Y ( )-
Question No: 6  In testing hypothesis, we always begin it with assuming that:

► Null hypothesis is true (Page 277) rep
► Alternative hypothesis is true
► Sample size is large
► Population is normal
33
Question No: 7  For the Poisson distribution P(x) =
0.135 1
0.135
1!
l- the mean value is :
►2
► 5
► 10

► 0.135 (Page 222) rep
Question No: 8  When two coins are tossed simultaneously, P (one head) is:

►
1 4

►
1 2

►
3 4
► 1
Question No: 9  From point estimation, we always get:

► Single value (Page 257) rep
► Two values
► Range of values
► Zero
Question No: 10  The sample variance
2
2 ( ) x x
S
n
å -
= is:
► Unbiased estimator of
2
s

► Biased estimator of
2
s (Page 260) rep
► Unbiased estimator of
m
► None of these 34
Question No: 11  Var(4X + 5) =__________
► 16 Var (X)

► 16 Var (X) + 5 rep
► 4 Var (X) + 5
► 12 Var (X)
Question No: 12  When f (x, y) is bivariate probability density function of continuous r.v.'s X and Y, then
f x y dx dy ( , )
¥ ¥
-¥ -¥
ò ò is equal to:

► 1 rep
► 0
► -1

► ¥
Question No: 13  The area under a normal curve between 0 and -1.75 is
► .0401
► .5500

► .4599 (Page 230) rep
► .9599
Question No: 14  When a fair die is rolled, the sample space consists of:
► 2 outcomes
► 6 outcomes

► 36 outcomes (Page 145)
►16 outcomes
Question No: 15  When testing for independence in a contingency table with 3 rows and 4 columns, there are ________ degrees of freedom.
► 5

► 6 (Page 341)
► 7
► 12
35
Question No: 16  The F- test statistic in one-way ANOVA is:
► SSW / SSE
► MSW / MSE
► SSE / SSW

► MSE / MSW (Not sure)
Question No: 17  The continuity correction factor is used when:
► The sample size is at least 5
► Both nP and n (1-P) are at least 30

► A continuous distribution is used to approximate a discrete distribution rep
► The standard normal distribution is applied
Question No: 18  A uniform distribution is defined by:

► Its largest and smallest value click here for detail
► Smallest value
► Largest value
► Mid value
Question No: 19  Which graph is made by plotting the mid point and frequencies?

► Frequency polygon (Page 34)
► Ogive
► Histogram
► Frequency curve
Question No: 20  In a set of 20 values all the values are 10, what is the value of median?
► 2
► 5

► 10
► 20
36
FINAL TERM EXAMINATION
Fall 2009
STA301- Statistics and Probability
Question No: 1  For a particular data the value of Pearson’s coefficient of skewness is greater then zero. What will be the shape of distribution?

► Negatively skewed
► J-shaped
► Symmetrical

► Positively skewed (Page 110)
Question No: 2  In measures of relative dispersion unit of measurement is:

► Changed

► Vanish Rep
► Does not changed
► Dependent
Question No: 3  The F-distribution always ranges from:
► 0 to 1
► 0 to -∞
► -∞ to +∞

► 0 to +∞ (Page 312) rep
Question No: 4  In chi-square test of independence the degrees of freedom are:

► n - p
► n - p-1
► n - p- 2
► n – 2
37
Question No: 5  The Chi- Square distribution is continuous distribution ranging from:
► -∞ ≤ χ2≤ ∞
► -∞ ≤χ2 ≤1
► -∞ ≤χ2 ≤0

► 0 ≤ χ2≤ ∞ (Page 307) rep
Question No: 6  If X and Y are random variables, then
E X Y ( - ) is equal to:
►
E X E Y ( ) ( + )

►
E X E Y ( ) ( - ) (Page 202) rep
►
X E Y - ( )
►
E X Y ( )-
Question No: 7  If ŷ is the predicted value for a given x-value and b is the y-intercept then the equation of a regression line for an independent variable x and a dependent variable y is:

► ŷ = mx + b, where m = slope (Page 121) rep
► x = ŷ + mb, where m = slope
► ŷ = x/m + b, where m = slope
► ŷ = x + mb, where m = slope
Question No: 8  The location of the critical region depends upon:

► Null hypothesis

► Alternative hypothesis (Page 281) rep
► Value of alpha
► Value of test-statistic
38
Question No: 9  The variance of the t-distribution is give by the formula:
►
2 2
-
=
n n
s
►
2
2
2
-
=
n n
s
►
1
2
-
=
n n
s

►
2
2
-
=
n n
s
(Page 293)
Question No: 10  Which one is the correct formula for finding desired sample size?

►
2
2
Z .
n
e
æ ö a s
= ç ÷
ç ÷
è ø (Page 276)
►
2
2
Z .
n
e
æ ö a s
ç ÷
= ç ÷
è ø
►
2
2
Z X .
n
e
a
æ ö
= ç ÷
ç ÷
è ø
►
2
Z .
n
e
a s
=
39
Question No: 11  A discrete probability function f(x) is always:
► Non-negative
► Negative

► One (Page 168) rep
► Zero
Question No: 12  E(4X + 5) =__________
► 12 E (X)

► 4 E (X) + 5
► 16 E (X) + 5
► 16 E (X)
Question No: 13  How P(X + Y < 1) can be find:
► f(0, 0) + f(0, 1) + f(1, 2)
► f(2, 0) + f(0, 1) + f(1, 0)
► f(0, 0) + f(1, 1) + f(1, 0)
► f(0, 0) + f(0, 1) + f(1, 0)
Question No: 14  The
f x ( |1) = __________:
►
f (1,1)
►
f x ( ,1)

►
( )
( )
,1
1
f x
h (Page 198) rep
►
( )
( )
f x,1
h x
40
Question No: 15  The area under a normal curve between 0 and -1.75 is
► .0401
► .5500

► .4599 (Page 230) rep
► .9599
Question No: 16  In normal distribution M.D. =

► 0.5s
► 0.75s

► 0.7979s Click here for detail rep
► 0.6445s
Question No: 17  In an ANOVA test there are 5 observations in each of three treatments. The degrees of freedom in the numerator and denominator respectively are.......
► 2, 4
► 3, 15
► 3, 12

► 2, 12
Question No: 18  A set that contains all possible outcomes of a system is known as
►Finite Set
►Infinite Set

►Universal Set (Page 134)

►No of these
Question No: 19  Stem and leaf is more informative when data is :
► Equal to 100
► Greater Than 100

► Less than 100 click here for detail rep
► In all situations
41
Question No: 20  A population that can be defined as the aggregate of all the conceivable ways in which a specified event can happen is known as:
► Infinite population
► Finite population
► Concrete population

► Hypothetical population (Page 12)
STA 301 – Quizzes
Question # 1 of 10 (Total Marks: 1) Select correct option: The number of telephone calls that pass through a switchboard has a Poison distribution with mean equal to 2 per minute. The probability that no telephone calls pass through the switchboard in two consecutive minutes is: 0.2707

0.0517
0.0183

0.0366
Question # 2 of 10 (Total Marks: 1) Select correct option:

 The range of the binomial distribution is: 0, 1, 2, ... , 100
0, 1, 2, … , n Click here for detail

 0, 1, 2, … ,

x 1, 2, … , n
Question # 3 of 10 (Total Marks: 1) Select correct option:

Which of the following is NOT CORRECT about a standard normal distribution?

P(0 ≤ Z ≤ 1.50) = .4332

P(Z ≥2.0) = .0228
P (Z ≥-2.5) = .4938 (Page 230)

P (Z ≤ -1.0) = .1587
42
Question # 4 of 10 (Total Marks: 1) Select correct option: The distribution function (df) is also known as cumulative distribution function (cdf).
Yes (Page 173) No
Question # 5 of 10 (Total Marks: 1) Select correct option: Which of the following pairs of events are mutually exclusive?
A:the numbers above100;B: the numbers less than-200 A:the odd numbers; B:the number 5 A:the even numbers; B:the numbers greater than 10 A:the numbers less than 5; B:all the negative numbers
Question # 6 of 10 (Total Marks: 1) Select correct option: Two events A & B are said to be independent if... P(A) + P(B) P(B/A) = P(B)
P(A) * P(B) (Page 162) P(A/B) = P(A)
Question # 7 of 10 (Total Marks: 1) Select correct option: The collection of all outcomes for an experiment is called:
A sample space Click here for detail Joint probability simple event The intersection of events Random experiment
Question # 8 of 10 (Total Marks: 1) Select correct option: Symbolically, a conditional probability is:

P(AB)
P(A/B) (Page 159)

P(A)

P(AUB)
Question # 9 of 10 (Total Marks: 1) Select correct option: Which of the following statements is INCORRECT about the sampling distribution of the sample mean?

The standard error of the sample mean will decrease as the sample size increases

The standard error of the sample mean is measure of the variability of the sample mean among repeated samples

The sample mean is unbiased for the true (unknown) population mean
The sampling distribution shows how the sample was distributed around the sample mean
Click here for detail 43
Question # 10 of 10 (Total Marks: 1) Select correct option: If one event is unaffected by the outcome of another event the two events are said to be:

1. Dependent

2. Not Mutually Exclusive

3. Mutually Exclusive
Independent Click here for detail
Question # 1 of 10 (Total Marks: 1) Select correct option: Let X be a random variable with binomial distribution, that is (X=0,1,…, n). The expected value E[X] is p
np (Page 214) np(1-p) Xnp
Question # 2 of 10 (Total Marks: 1) Select correct option: The sample mean is an unbiased estimator for the population mean. This means: The sample mean has a normal distribution
The average sample mean, over all possible samples, equals the population mean (Page 259) The sample mean is always very close to the population mean The sample mean will only vary a little from the population mean
Question # 4 of 10 (Total Marks: 1) Select correct option: Probability of an impossible event is always: Less than one Greater than one Between one and zero
Zero (Page 146)
Question # 5 of 10 (Total Marks: 1) Select correct option: The function abbreviated to d.f. is also called the...... Probability density function Probability distribution function
Commutative distribution function (Page 173) Discrete function
44
Question # 6 of 10 (Total Marks: 1) Select correct option: The total area under the normal curve is: 0 1
(Page 186) 0.5 0.75
Question # 7 of 10 (Total Marks: 1) Select correct option: Two events A & B are said to be independent if.... P (A) + P (B) P (B\A) = P (B)
P (A) * P (B) (Page 162) rep P (A\B) = P (A)
Question # 8 of 10 (Total Marks: 1) Select correct option: When two coins are tossed the probability of at most one head is: 1/4 2/4
3/4 rep 1
Question # 9 of 10 (Total Marks: 1) Select correct option: For exhaustive events, the P(AUBUC) is equal to: P(A)
P(S) (Page 147) P(A) * P(B)* P(C) P(B)
Question # 10 of 10 (Total Marks: 1) Select correct option: One card is drawn from a standard 52 card deck. In describing the occurrence of two possible events, an Ace and a King, these two events are said to be: Select correct option: independent randomly independent random variables
mutually exclusive click here for detail 45
STA 301 – Quizzes
Question # 1 of 10 (Total Marks: 1) Select correct option: The number of parameters in hypergeometric distribution is (are): 1 2 3
(Page 219) 4
Question # 2 of 10 (Total Marks: 1) Select correct option:
If Y=bX, then variance of Y is
b*2 var(x)
var(x)
b var(x)
b square root var(x)
Question # 3 of 10 (Total Marks: 1) Select correct option:
If f(x) is a continuous probability function, then P(X = 2) is:
1 0
(Page 186)
1/2
2
Question # 4 of 10 (Total Marks: 1) Select correct option:
In regression line Y=a+bX, Y is called:
Dependent variable (Page 121)
Independent variable
Explanatory variable
Regressor
46
Question # 5 of 10 (Total Marks: 1) Select correct option:
If A and B are mutually exclusive events with P (A) =0.25 and P (B) = 0.50, Then P (A or B) =………
0.25
0.75 (Page 154)
0.50
1
Question # 6 of 10 (Total Marks: 1) Select correct option:
In a 52 well shuffled pack of 52 playing cards, the probability of drawing any one diamond card is
1/52
4/52
13/52
52/52
Question # 7 of 10 (Total Marks: 1) Select correct option:
Probability of a sure event is
8 1
(Page 154)
0
0.5
Question # 8 of 10 (Total Marks: 1) Select correct option:
If Y=3X+5,then S.D of Y is equal to
9 s.d(x)
3 s.d(x)
s.d(x)+5
3s.d(x)+5
Question # 9 of 10 (Total Marks: 1) Select correct option:
The probability of drawing a red queen card from well-shuffled pack of 52 playing cards is
4/52
2/52
13/52
26/52 47
Question # 10 of 10 (Total Marks: 1) Select correct option:
If P (B|A) = 0.25 and P (A and B) =0.20, then P (A) is
0.05
0.80 (Page 159)
0.95
0.75
Question # 1 of 10 (Total Marks: 1) Select correct option:
A student solved 25 questions from first 50 questions of a book to be solved. The probability that he will
solve the remaining all questions is:
0.25
0.5
1 0
Question # 1 of 10 (Total Marks: 1) Select correct option: The classical definition of probability assumes: Exhaustive events Mutually exclusive events
Equally likely evens (Page 151) Independent evens
Question # 2 of 10 (Total Marks: 1) Select correct option: In scatter diagram, the variable plotted along Y-axis is: Independent variable
Dependent variable Continuous variable Discrete variable
Question # 3 of 10 (Total Marks: 1) Select correct option: Which of the following measures of dispersion are based on deviations from the mean? Variance Standard deviation Mean deviation
All of the these 48
Question # 4 of 10 (Total Marks: 1) Select correct option: What does it mean when a data set has a standard deviation equal to zero? All values of the data appear with the same frequency. The mean of the data is also zero.
All of the data have the same value. Click here for detail There are no data to begin with.
Question # 5 of 10 (Total Marks: 1) Select correct option: A set of possible values that a random variable can assume and their associated probabilities of occurrence are referred to as ________.
Probability distribution The expected return The standard deviation Coefficient of variation
Question # 6 of 10 (Total Marks: 1) Select correct option: Which of the following can never be probability of an event? 0 1 0.5
-0.5
Question # 7 of 10 (Total Marks: 1) Select correct option: The standard deviation of -1, -1, -1, -1 will be 1 -1
0 Does not exist
Question # 8 of 10 (Total Marks: 1) Select correct option: The Special Rule of Addition is used to combine: Independent Events
Mutually Exclusive Events click here for detail Events that total more than 1.00 Events based on subjective probabilities
49
Question # 9 of 10 (Total Marks: 1) Select correct option: set which is the sub-set of every set is
Empty Set (Page 134) Power Set Universal Set Super Set
Question # 10 of 10 (Total Marks: 1) Select correct option: When two dice are rolled the number of possible sample points is : 6 12 24
36 (Page 145)
Question # 1 of 10 (Total Marks: 1) Select correct option: If two events A and B are not mutually exclusive then
P (A or B) = P (A) + P (B) – P (A and B) (Page 157) P (A or B) = P (A) + P (B) P (A or B) = P (A) x P (B) P (A or B) = P (A) + P (B)
Question # 2 of 10 (Total Marks: 1) Select correct option: Evaluate (10-4)! 1000
720 480 32
Question # 3 of 10 (Total Marks: 1) Select correct option: When we toss a coin , we get only:
1 outcome 2 outcome 3 outcome 4 outcome
50
Question # 4 of 10 (Total Marks: 1) Select correct option: If we roll a die then probability of getting a ‘6’ will be 2/6
1/6 4/6 1
Question # 5 of 10 (Total Marks: 1) Select correct option: If P(A) = 0.45, P(B) = 0.35, and P(A and B) = 0.25, then P(A | B) is: 1.4 1.8
0.714 0.25/0.35 = 0.714 (Page 159) 0.556
Question # 6 of 10 (Total Marks: 1) Select correct option: Which of the following is not a measure of central tendency? Percentile Quartile
Standard deviation Mode
Question # 7 of 10 (Total Marks: 1) Select correct option: Random experiment can be repeated any no. of times under the……… conditions. Different
Similar (Page 144)
Question # 9 of 10 (Total Marks: 1) Select correct option: The simultaneous occurrence of two events is called:
Joint probability (Page 194) Subjective probability Prior probability Conditional probability
Question # 10 of 10 (Total Marks: 1) Select correct option: In regression analysis, the variable that is being predicted is the
Dependent variable click here for detail Independent variable Intervening variable None of these 51
Question # 1 of 10 (Total Marks: 1) Select correct option: The probability of continuous random variable x on any particular point is always zero..
Yes (Page 186) No
Question # 2 of 10 (Total Marks: 1) Select correct option: P(an event) =no of favorable outcome/total no. of outcomes is the definition of
Subjective approach (Page 149) Objective approach
Question # 3 of 10 (Total Marks: 1) Select correct option: If C is a constant ,then E(c)= 0 1 C
(Page 180) rep -c
Question # 4 of 10 (Total Marks: 1) Select correct option: When we toss a fair coin 4 times, the sample space consists of….points. 4 8 12
16
Question # 5 of 10 (Total Marks: 1) Select correct option: If we roll three fair dices then the total number of outcomes is: 6 36
216 6*6*6=216 1296
Question # 6 of 10 (Total Marks: 1) Select correct option: The probability of an event is always: greater than 0 less than 1
between o and 1 click here for detail greater than 1
Question # 7 of 10 (Total Marks: 1) Select correct option: In a multiplication theorem P (A and B) equals: P(A) P (B) P(A) + P (B)
P(A) * P (B|A) (Page 159) P(B\A)*P(B) 52
Question # 8 of 10 (Total Marks: 1) Select correct option: If a die is rolled, what is the probability of getting an even number greater than 2? 1/2
1/3 2/6 = 1/3 2/3 5/6
Question # 9 of 10 (Total Marks: 1) Select correct option: In a Discrete probability distribution, P (x > 23) is read as:
P (there are more than 23 successes) P (there are less than 23 successes) P (there are at least 23 successes) P (there are at most 23 successes)
Question # 10 of 10 (Total Marks: 1) Select correct option: A dormitory on campus houses 200 students. 120 are male, 50 are upper division students, and 40 are upper division male students.A student is selected at random. The probability of selecting a lower division student, given the student is a female, is:
7/8 7/20 7/15 1/4
Question # 1 of 10 (Total Marks: 1) Select correct option: The function F(x) gives the probability of the event that X takes a value ...... Less than x Greater or equal to x
Less or equal x (Page 173) Equal to x
Question # 2 of 10 (Total Marks: 1) Select correct option: In a simple regression line model ,it is assume that the intercept parameter is equal to zero,
The regression line will pass through the origin. The regression line will pass through the point (0,10) The regression line will pass through the point (0,-10) The slope of the line will also be zero.
Question # 3 of 10 (Total Marks: 1) Select correct option: If p(AnB)=p(A/B).p(B),then A and B are Independent Dependant Equally likely
Mutually exclusively 53
Question # 4 of 10 (Total Marks: 1) Select correct option: A fair coin is tossed three times, the probability that at least one head appears, 1/8
7/8 (HHH,HHT,HTH, HTT, THH THT TTH TTT) 3/8 5/8
Question # 5 of 10 (Total Marks: 1) Select correct option: In probability distribution, the sum of probabilities is equals to 0 0.1 0.5
1 click here for detail
Question # 6 of 10 (Total Marks: 1) Select correct option: When a coin is tossed 3 times, the probability of getting 3 tails is
1/8 (HHH,HHT,HTH, HTT, THH THT TTH TTT) 3/8 3/6 2/8
Question # 7 of 10 (Total Marks: 1) Select correct option: In how many ways can a team of 11 players be chosen from a total of 16 players?
4368 2426 5400 2680
Question # 8 of 10 (Total Marks: 1) Select correct option: The standard deviation of c (constant) is c c square
0 click here for detail does not exist
54
Question # 9 of 10 (Total Marks: 1) Select correct option: Let E and F be events associated with the same experiment. Suppose the E and F are independent and that P(E) = 1/4 and P(F) = 1/2 Then P(E U F) is: 1/8
3/4 (Page 157) 7/8 5/8
STA 301 – Quizzes
Question # 1 of 10 (Total Marks: 1) Select correct option: In which of the following situations binomial distributions is approximate to normal distribution? n = 50, p = 0.01 n = 500, p = 0.001 n = 100, p = 0.05
n = 50, p = 0.02 click here for detail
Question # 2 of 10 (Total Marks: 1) Select correct option: The location and shape of the normal curve is (are) determined by: Mean Variance Mean & variance
Mean & standard deviation click here for detail
Question # 3 of 10 (Total Marks: 1) Select correct option: A random experiment has five outcomes in its sample space {s1, s2, s3, s4, s5}. If P(s1)=0.2,P(s2)=0.3, P(s3)=0.1 and P(s4)=0.2 then P(s5)=? 1
0.2 0.8 0.5
55
Question # 4 of 10 (Total Marks: 1) Select correct option: The joint density function f(x,y) will be a pdf if
Both of integrals f(x,y) dx dy =1 (Page 200) Both of integrals f(x,y) dx dy >1 Both of integrals f(x,y) dx dy <1 Both of integrals f(x,y) dx dy =0
Question # 5 of 10 (Total Marks: 1) Select correct option: Which of the following is correct property for joint probability distribution of X and Y:
Sigma f(X,Y)=1 (Page 194) Sigma f(Y,X)=1 Both of above None of above
Question # 6 of 10 (Total Marks: 1) Select correct option: A random variable that can assume every possible value in an interval [a, b]: Discrete variable
Continuous variable (Page 9) Qualitative variable Categorical variable
Question # 7 of 10 (Total Marks: 1) Select correct option: Normal approximation to the binomial distribution is used when: np>5 nq>5
Both of the above (Page 235) None of the above
Question # 8 of 10 (Total Marks: 1) Select correct option: The Maximum Likelihood Estimators (MLE) are ………… and …………… but not necessarily ……… Unbiased, consistent, efficient Consistent, unbiased, efficient Unbiased, efficient, consistent
Consistent, efficient, unbiased (Page 264)
56
Question # 9 of 10 (Total Marks: 1) Select correct option: A probability density function ‘f(x)’ has the following property: f(x) <= 0 f(x) < 0
f(x) > 0 (Page 186) f(x) >= 0
Question # 10 of 10 (Total Marks: 1) Select correct option: For a continuous random variable X, P(X = x) is: Select correct option:
0 (Page 186) 0.5 1 undefined
Question # 1 of 10 (Total Marks: 1) Select correct option: An urn contains 4 red balls and 6 green balls. A sample of 4 balls is selected from the urn without replacement. It is the example of: Binomial distribution
Hypergrometric distribution (Page 219) Poisson distribution Exponential distribution
Question # 2 of 10 (Total Marks: 1) Select correct option: The probability distribution of the proportion of successes in all possible samples is called the:
Sampling distribution (Page 237) Sampling probability distribution Sampling distribution of sample proportions Sampling distribution of Population proportions
Question # 3 of 10 (Total Marks: 1) Select correct option: For good approximation of Poisson distribution to the binomial distribution, which of the following condition (s) is/are required: The population size is large relative to the sample size The probability, p, is close to .5 and the population size is large
The probability, p, is small and the sample size is large (Page 222) The probability, p, is close to .5 and the sample size is large 57
Question # 4 of 10 (Total Marks: 1) Select correct option: If an estimator is more efficient then the other estimator, its shape of the sampling distribution will be Flattered Normal
Highly peaked (Page 261) Skewed to right
Question # 6 of 10 (Total Marks: 1) Select correct option: Match the binomial probability P(x< 23) with the correct statement. P(there are at most 23 successes)
P (there are fewer than 23 successes) P (there are more than 23 successes) P (there are at least 23 successes)
Question # 7 of 10 (Total Marks: 1) Select correct option: In statistics, the term ‘expected value’ implies the ___ value. Independent Normal Standard
Mean (Page 191)
Question # 8 of 10 (Total Marks: 1) Select correct option: A quantity obtained by applying certain rule or formula is known as
Estimate (Page 264) Estimator Parameter Proportion
Question # 9 of 10 (Total Marks: 1) Select correct option: Total no. of possible samples of size 2 (without replacement) from the population of size 6, will be: 20
15 10 18 58
Question # 10 of 10 (Total Marks: 1) Select correct option: When a coin is tossed 3 times, the probability of getting 3 or less tails is
1/2 (not sure) 0 1 3/5
Question # 1 of 10 (Total Marks: 1) Select correct option: Total no. of possible samples of size 3 (with replacement) from the population of size 6, will be: 256 196
216 6^3 325
Question # 2 of 10 (Total Marks: 1) Select correct option: Using the normal approximation to the binomial distribution with n= 3 and p= 0.0571 the value of mean is:
0.1713 (Page 235) 0.2132 0.5133 0.1923
Question # 3 of 10 (Total Marks: 1) Select correct option: Suppose 60% of a herd of cattle is infected with a particular disease. Let Y = the number of non-diseased cattle in a sample of size 5. the distribution of Y is: Binomial with n = 5 and p = 0.6
Binomial with n = 5 and p = 0.4 Binomial with n = 5 and p = 0.5 Poisson with u = .6
Question # 4 of 10 (Total Marks: 1) Select correct option: The probability of success changes from trial to trial, is the property of:
Binomial experiment (Page 211) Hypergeometric experiment Both binomial & hypergeometric experiment Poisson experiment
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Question # 5 of 10 (Total Marks: 1) Select correct option: If a statistic used as an estimator, has its expected value equal to the true value of the population parameter being estimated then it is called........ Consistent
Unbiased (Page 258) Efficient Sufficient
Question # 6 of 10 (Total Marks: 1) Select correct option: In moments method, how many equations are needed to find the 2 unknown parameters?
2 (Page 263) 3 n/2
Question # 7 of 10 (Total Marks: 1) Select correct option: Which of the following is desirable for a good point estimator? Consistency Unbiasedness Efficiency
All of these (Page 258)
Question # 8 of 10 (Total Marks: 1) Select correct option: The distribution function (df) is also known as Probability distribution Probability mass function Probability density function
Cumulative distribution function (Page 173)
Question # 9 of 10 (Total Marks: 1) Select correct option: If X and Y are two discrete r.v’s with joint probability function f(x,y), then the conditional probability function Y given X, f(y|x) is given by
f(yj | xi) = f(xi, yj) / g( xi) (Page 195) f(yj | xi) = f(xi, yj) / h( yj) f(yj | xi) = f(xi, yj) / Sum of g( xi) f(yj | xi) = f(xi, yj) / sum of h( yj)
60
Question # 1 of 10 (Total Marks: 1) Select correct option: Which of the probability distributions has three parameters? Binomial distribution Normal distribution
Hypergeometric distribution (Page 219) Poisson distribution
Question # 2 of 10 (Total Marks: 1) Select correct option: A standard deviation obtained from sampling distribution of sample statistics is known as Sampling error
Standard error (Page 240) Minimum error Universal error
Question # 3 of 10 (Total Marks: 1) Select correct option: A parameter is a ..... quantity. Constant
Variable Sample Random
Question # 4 of 10 (Total Marks: 1) Select correct option: How can you define statistical inference?
A decision, estimate, prediction or generalization about the population based on information
contained in a sample click here for detail A statement made about a sample based on the measurements in that sample A set of data selected from a larger set of data A decision, estimate, prediction or generalization about sample based on information contained in a population
Question # 5 of 10 (Total Marks: 1) Select correct option: Which of the following is most important and most widely used method in point estimation? The method of moments The method of fractional moments
The method of leas square (Page 263) The method of maximum likelihood 61
Question # 6 of 10 (Total Marks: 1) Select correct option: Binomial distribution is skewed to the right if: p=q
P<q (Page 215) p>q p=n
Question # 7 of 10 (Total Marks: 1) Select correct option: In a discrete distribution function, F(23) can be stated as: P (there are at most 23 successes) P (there are at least 23 successes) P (there are less than 23 successes) P (there are more than 23 successes)
Question # 8 of 10 (Total Marks: 1) Select correct option: The Probabilities of the various values of the sample satistic can be computed using the......... definition of probability. Subjective Objective
Classical (Page 149) None of the baove
Question # 9 of 10 (Total Marks: 1) Select correct option: E(10X +3) =_______ 10 E(X) E(X)+3
10 E(X)+3 100E(X)
Question # 10 of 10 (Total Marks: 1) Select correct option: If p is very small and n is considerably large then we shall apply the: Binomial distribution Hypergeometric distribution
Poisson distribution (Page 222) Exponential distribution
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Question # 1 of 10 (Total Marks: 1) Select correct option: Which of the following is NOT applicable to a Poisson distribution?
IF P = 0.5 & n = 19 IF P = 0.01 & n = 200 IF P = 0.02 & n = 300 IF P = 0.03 & n = 500
Question # 2 of 10 (Total Marks: 1) Select correct option: The normal distribution has points of infection which are equidistance from the: Median
Mean (Page 229) Mode Mean,Median & Mode
Question # 3 of 10 (Total Marks: 1) Select correct option: If a random variable X denotes the number of heads when we toss a fair coin 5 times, the X assumed the values: 0,1,2,3 1, 2,3,4,5
0, 1, 2,3,4,5 1, 5, 5
Question # 4 of 10 (Total Marks: 1) Select correct option: As a rule of thumb, when n>=30, then we can assume that………is normally distributed: Probability distribution
Sampling distribution (Page 243) Binomial distribution Sampling distribution of sample mean
Question # 5 of 10 (Total Marks: 1) Select correct option: If b(x, 7, 0.30), the variance of this distribution is: 1.77 1.74 1.44
1.47 (Page 333)
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Question # 6 of 10 (Total Marks: 1) Select correct option: Which of the following is a characteristic of a binomial probability experiment? Each trial has more than two possible outcomes P(success) = P(failure) Probability of success changes for each trail
The result of one trial does not affect the probability of success on any other trial (Page 211)
Question # 7 of 10 (Total Marks: 1) Select correct option: The number of parameters in uniform distribution is (are): 1
2 (Page 225) 3 4
Question # 8 of 10 (Total Marks: 1) Select correct option: The probability can never be: 1 1/2 1 -
1/2
Question # 9 of 10 (Total Marks: 1) Select correct option: The conditional probability P (A\B) is:
P(A n B)/P(B) (Page 159) P(A n B)/P(A) P(A U B)/P(B) P(A U B)/P(A)
Question # 10 of 10 (Total Marks: 1) Select correct option: A random sample of n=25 values gives sample mean 83. Can this sample be regarded as drawn from a normal population with µ= 80 and s= 7? In this question the alternative hypothesis will be: H1: µ = 80
H1: µ ¹ 80 H1: µ > 80 H1: µ <80 64
Question # 1 of 10 (Total Marks: 1) Select correct option: The binomial distribution is negatively skewed when:
p>q (Page 215) p<q p=q p=q=1/2
Question # 2 of 10 (Total Marks: 1) Select correct option: When we draw the sample with replacement, the probability distribution to be used is:
Binomial Hypergeometric Binomial & hypergeometric Poisson
Question # 3 of 10 (Total Marks: 1) Select correct option: The moment ratios of normal distribution come out to be: 0 and 1 0 and 2
0 and 3 (Page 227) 0 and 4
Question # 4 of 10 (Total Marks: 1) Select correct option: Suppose the test scores of 600 students are normally distributed with a mean of 76 and standard deviation of 8. The number of students scoring between 70 and 82 is:

272

 164

260
328 click here for detail
Question # 5 of 10 (Total Marks: 1) Select correct option: If P (A) = 0.3 and P (B) = 0.5, find P (A/B) where ‘A’ and ‘B’ are independent:

0.3

0.5

0.8
0.15 (Page 162)
Question # 6 of 10 (Total Marks: 1) Select correct option: If the second moment ratio is less than 3 the distribution will be: Mesokurtic Leptokurtic
Platykurtic None of these 65
Question # 7 of 10 (Total Marks: 1) Select correct option: For the independent events A and B if P (A) = 0.25, P (B) =0.40 then P (A and B) =…… Select correct option:

 0.65
0.1 (Page 162)

 0.50

0.15
Question # 8 of 10 (Total Marks: 1) Select correct option: A random variable X has a probability distribution as follows: X | 0 1 2 3 P(X) | 2k 3k 13k 2k What is the possible value of k:

0.01

 0.03
0.05

0.07
Question # 9 of 10 (Total Marks: 1) Select correct option: The probability of drawing any one spade card is:

1/52

4/52
13/52

52/52