DUET Question Paper 2019 for MA M.Sc Statistics
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Page 1
DU MA MSc Sta s cs
Topic:- DU_J19_MA_STATS
1) If the number of items produced in a factory during a week is a random variable with mean 100 and
variance 400, then the probability that this week’s production will be at least 130 is: [Question ID =
26192]
1. 1/2 [Option ID = 44763]
2. ≤ 1/2 [Option ID = 44765]
3. 4/9 [Option ID = 44764]
4. ≤ 4/9 [Option ID = 44766]
1/2 [Option ID = 44763]
2) If the correlation coefficient between X and Y is +0.73, then the correlation coefficient between 3-2X
and 5-3Y is: [Question ID = 26184]
1. +0.73 [Option ID = 44732]
2. 1 [Option ID = 44734]
3. (0.73)2 [Option ID = 44733]
4. -0.73 [Option ID = 44731]
-0.73 [Option ID = 44731]
3) If Karl Pearson’s coefficient of skewness of a distribution is 0.32, its mean is 29.6 and standard
deviation is 6.5, then mode of the distribution is: [Question ID = 26190]
1. 27.51 [Option ID = 44756]
2. 27.00 [Option ID = 44758]
3. 27.5 [Option ID = 44757]
4. 27.52 [Option ID = 44755]
27.52 [Option ID = 44755]
4) In any discrete series ( when all the values are different), the relationship between standard deviation
(SD) and mean deviation (MD) is
[Question ID = 26202]
1. SD = MD [Option ID = 44803]
2. SD < MD [Option ID = 44804]
3. SD ≥ MD [Option ID = 44805]
4. [Option ID = 44806]
SD = MD [Option ID = 44803]
5) ANOVA procedure is used for data that was obtained from four groups each comprised of five
observations. The degrees of freedom for critical value of F are: [Question ID = 26215]
1. 3 and 17 [Option ID = 44858]
Topic:- DU_J19_MA_STATS
1) If the number of items produced in a factory during a week is a random variable with mean 100 and
variance 400, then the probability that this week’s production will be at least 130 is: [Question ID =
26192]
1. 1/2 [Option ID = 44763]
2. ≤ 1/2 [Option ID = 44765]
3. 4/9 [Option ID = 44764]
4. ≤ 4/9 [Option ID = 44766]
1/2 [Option ID = 44763]
2) If the correlation coefficient between X and Y is +0.73, then the correlation coefficient between 3-2X
and 5-3Y is: [Question ID = 26184]
1. +0.73 [Option ID = 44732]
2. 1 [Option ID = 44734]
3. (0.73)2 [Option ID = 44733]
4. -0.73 [Option ID = 44731]
-0.73 [Option ID = 44731]
3) If Karl Pearson’s coefficient of skewness of a distribution is 0.32, its mean is 29.6 and standard
deviation is 6.5, then mode of the distribution is: [Question ID = 26190]
1. 27.51 [Option ID = 44756]
2. 27.00 [Option ID = 44758]
3. 27.5 [Option ID = 44757]
4. 27.52 [Option ID = 44755]
27.52 [Option ID = 44755]
4) In any discrete series ( when all the values are different), the relationship between standard deviation
(SD) and mean deviation (MD) is
[Question ID = 26202]
1. SD = MD [Option ID = 44803]
2. SD < MD [Option ID = 44804]
3. SD ≥ MD [Option ID = 44805]
4. [Option ID = 44806]
SD = MD [Option ID = 44803]
5) ANOVA procedure is used for data that was obtained from four groups each comprised of five
observations. The degrees of freedom for critical value of F are: [Question ID = 26215]
1. 3 and 17 [Option ID = 44858]
Page 2
2. 3 and 19 [Option ID = 44855]
3. 3 and 16 [Option ID = 44857]
4. 3 and 20 [Option ID = 44856]
3 and 19 [Option ID = 44855]
6) How many two factor interactions are there in a 2×2×2 Factorial design? [Question ID = 26213]
1. 2 [Option ID = 44847]
2. 1 [Option ID = 44850]
3. 3 [Option ID = 44848]
4. 4 [Option ID = 44849]
2 [Option ID = 44847]
7) The Central Limit Theorem is important in Statistics because: [Question ID = 26194]
1. For any population, it says the sampling distribution of the sample mean is approximately normal, regardless of the
sample size [Option ID = 44772]
2. For any sized sample, it says the sampling distribution of the sample mean is approximately normal. [Option ID =
44774]
3. For a large n, it says the population is approximately normal [Option ID = 44771]
4. For a large n, it says the sampling distribution of the sample mean is approximately normal, regardless of the shape
the population [Option ID = 44773]
For a large n, it says the population is approximately normal [Option ID = 44771]
8) Under proportional allocation in stratified sampling, the size of the sample from each stratum depends
on:
[Question ID = 26212]
1. Size of the stratum [Option ID = 44844]
2. Population size [Option ID = 44845]
3. Total sample size [Option ID = 44843]
4. All of the above [Option ID = 44846]
Total sample size [Option ID = 44843]
9) The blood pressure (B.P.) of a group of patients was determined. After administering a medicine, the
B.P. was measured again. To determine the significance of the medicine, the test to be applied is:
[Question ID = 26195]
1. Z - test [Option ID = 44775]
2. Paired t- test [Option ID = 44776]
3. χ2- test [Option ID = 44777]
4. F-test [Option ID = 44778]
Z - test [Option ID = 44775]
10) The standard deviation of a distribution is 4. The value of the fourth central moment ( μ4) in order
that the distribution be mesokurtic should be [Question ID = 26197]
1. Equal to 3 [Option ID = 44786]
2. Equal to 768 [Option ID = 44785]
3. 3 and 16 [Option ID = 44857]
4. 3 and 20 [Option ID = 44856]
3 and 19 [Option ID = 44855]
6) How many two factor interactions are there in a 2×2×2 Factorial design? [Question ID = 26213]
1. 2 [Option ID = 44847]
2. 1 [Option ID = 44850]
3. 3 [Option ID = 44848]
4. 4 [Option ID = 44849]
2 [Option ID = 44847]
7) The Central Limit Theorem is important in Statistics because: [Question ID = 26194]
1. For any population, it says the sampling distribution of the sample mean is approximately normal, regardless of the
sample size [Option ID = 44772]
2. For any sized sample, it says the sampling distribution of the sample mean is approximately normal. [Option ID =
44774]
3. For a large n, it says the population is approximately normal [Option ID = 44771]
4. For a large n, it says the sampling distribution of the sample mean is approximately normal, regardless of the shape
the population [Option ID = 44773]
For a large n, it says the population is approximately normal [Option ID = 44771]
8) Under proportional allocation in stratified sampling, the size of the sample from each stratum depends
on:
[Question ID = 26212]
1. Size of the stratum [Option ID = 44844]
2. Population size [Option ID = 44845]
3. Total sample size [Option ID = 44843]
4. All of the above [Option ID = 44846]
Total sample size [Option ID = 44843]
9) The blood pressure (B.P.) of a group of patients was determined. After administering a medicine, the
B.P. was measured again. To determine the significance of the medicine, the test to be applied is:
[Question ID = 26195]
1. Z - test [Option ID = 44775]
2. Paired t- test [Option ID = 44776]
3. χ2- test [Option ID = 44777]
4. F-test [Option ID = 44778]
Z - test [Option ID = 44775]
10) The standard deviation of a distribution is 4. The value of the fourth central moment ( μ4) in order
that the distribution be mesokurtic should be [Question ID = 26197]
1. Equal to 3 [Option ID = 44786]
2. Equal to 768 [Option ID = 44785]
Page 3
3. Greater than 768 [Option ID = 44783]
4. Less than 768 [Option ID = 44784]
Greater than 768 [Option ID = 44783]
11) If N = 60, (A) = 45, (B) = 35 and (AB) = 25 then the two attributes A and B are [Question ID =
26196]
1. Independent [Option ID = 44779]
2. Positively associated [Option ID = 44781]
3. Negatively associated [Option ID = 44780]
4. Nothing can be said [Option ID = 44782]
Independent [Option ID = 44779]
12) For a 24 factorial experiment the principal block is ((1), ab, cd, abcd). The confounded effects are:
[Question ID = 26216]
1. AC, BD, ABCD [Option ID = 44859]
2. ABC, BCD, AD [Option ID = 44862]
3. AB, CD, ABCD [Option ID = 44861]
4. AD, BC, ABCD [Option ID = 44860]
AC, BD, ABCD [Option ID = 44859]
13) Cayley Hamilton Theorem states [Question ID = 26167]
1. Every square matrix is invertible. [Option ID = 44663]
2. Every square matrix satisfies its characteristic equation [Option ID = 44665]
3. Every square matrix satisfies a given polynomial equation. [Option ID = 44664]
4. Every square matrix can be reduced to Normal form. [Option ID = 44666]
Every square matrix is invertible. [Option ID = 44663]
14) Let X and Y be two variables and r(X,Y) be the correlation coefficient between them , then which of
the following is always true? [Question ID = 26201]
1. If X and Y are linearly related then r(X,Y) = 0 [Option ID = 44801]
2. If X and Y are independent then r(X,Y) = 0 [Option ID = 44800]
3. If r(X,Y) = 0, then X and Y are independent [Option ID = 44799]
4. None of the above [Option ID = 44802]
If r(X,Y) = 0, then X and Y are independent [Option ID = 44799]
15) The relationship between Pearson’s β and γ coefficients is [Question ID = 26198]
1. [Option ID = 44787]
2. [Option ID = 44790]
3. [Option ID = 44788]
4. [Option ID = 44789]
4. Less than 768 [Option ID = 44784]
Greater than 768 [Option ID = 44783]
11) If N = 60, (A) = 45, (B) = 35 and (AB) = 25 then the two attributes A and B are [Question ID =
26196]
1. Independent [Option ID = 44779]
2. Positively associated [Option ID = 44781]
3. Negatively associated [Option ID = 44780]
4. Nothing can be said [Option ID = 44782]
Independent [Option ID = 44779]
12) For a 24 factorial experiment the principal block is ((1), ab, cd, abcd). The confounded effects are:
[Question ID = 26216]
1. AC, BD, ABCD [Option ID = 44859]
2. ABC, BCD, AD [Option ID = 44862]
3. AB, CD, ABCD [Option ID = 44861]
4. AD, BC, ABCD [Option ID = 44860]
AC, BD, ABCD [Option ID = 44859]
13) Cayley Hamilton Theorem states [Question ID = 26167]
1. Every square matrix is invertible. [Option ID = 44663]
2. Every square matrix satisfies its characteristic equation [Option ID = 44665]
3. Every square matrix satisfies a given polynomial equation. [Option ID = 44664]
4. Every square matrix can be reduced to Normal form. [Option ID = 44666]
Every square matrix is invertible. [Option ID = 44663]
14) Let X and Y be two variables and r(X,Y) be the correlation coefficient between them , then which of
the following is always true? [Question ID = 26201]
1. If X and Y are linearly related then r(X,Y) = 0 [Option ID = 44801]
2. If X and Y are independent then r(X,Y) = 0 [Option ID = 44800]
3. If r(X,Y) = 0, then X and Y are independent [Option ID = 44799]
4. None of the above [Option ID = 44802]
If r(X,Y) = 0, then X and Y are independent [Option ID = 44799]
15) The relationship between Pearson’s β and γ coefficients is [Question ID = 26198]
1. [Option ID = 44787]
2. [Option ID = 44790]
3. [Option ID = 44788]
4. [Option ID = 44789]
Page 4
[Option ID = 44787]
16) The difference between the expected value of a statistic and the value of the parameter is being
estimated is called [Question ID = 26211]
1. Non sampling error [Option ID = 44841]
2. Bias [Option ID = 44842]
3. Sampling error [Option ID = 44839]
4. Standard error [Option ID = 44840]
Sampling error [Option ID = 44839]
17) A beta variable of the first kind with parameters (1,1) is: [Question ID = 26180]
1. uniform variable over (0,1) [Option ID = 44718]
2. beta variable of the second kind [Option ID = 44716]
3. exponential variable with mean 1 [Option ID = 44715]
4. N(0,1) [Option ID = 44717]
exponential variable with mean 1 [Option ID = 44715]
18) Measure of skewness of the Poisson distribution P(λ) is [Question ID = 26199]
1. 1/λ2 [Option ID = 44791]
2. None of the above [Option ID = 44794]
3. λ [Option ID = 44792]
4. 1/λ [Option ID = 44793]
1/λ2 [Option ID = 44791]
19)
[Question ID = 26188]
1. 2 [Option ID = 44749]
2. 2.5 [Option ID = 44750]
3. 1 [Option ID = 44747]
4. 1.5 [Option ID = 44748]
1 [Option ID = 44747]
20)
16) The difference between the expected value of a statistic and the value of the parameter is being
estimated is called [Question ID = 26211]
1. Non sampling error [Option ID = 44841]
2. Bias [Option ID = 44842]
3. Sampling error [Option ID = 44839]
4. Standard error [Option ID = 44840]
Sampling error [Option ID = 44839]
17) A beta variable of the first kind with parameters (1,1) is: [Question ID = 26180]
1. uniform variable over (0,1) [Option ID = 44718]
2. beta variable of the second kind [Option ID = 44716]
3. exponential variable with mean 1 [Option ID = 44715]
4. N(0,1) [Option ID = 44717]
exponential variable with mean 1 [Option ID = 44715]
18) Measure of skewness of the Poisson distribution P(λ) is [Question ID = 26199]
1. 1/λ2 [Option ID = 44791]
2. None of the above [Option ID = 44794]
3. λ [Option ID = 44792]
4. 1/λ [Option ID = 44793]
1/λ2 [Option ID = 44791]
19)
[Question ID = 26188]
1. 2 [Option ID = 44749]
2. 2.5 [Option ID = 44750]
3. 1 [Option ID = 44747]
4. 1.5 [Option ID = 44748]
1 [Option ID = 44747]
20)
Page 5
[Question ID = 26207]
1. [Option ID = 44826]
2. [Option ID = 44824]
3. [Option ID = 44825]
4. [Option ID = 44823]
[Option ID = 44823]
21)
[Question ID = 26178]
1. [Option ID = 44707]
2. t with n degrees of freedom when n is small (≤ 30) [Option ID = 44709]
3. t with n-1 degrees of freedom when n is small (≤ 30) [Option ID = 44708]
4. t with n-1 degrees of freedom for all n. [Option ID = 44710]
[Option ID = 44707]
22)
[Question ID = 26205]
1. [Option ID = 44815]
2. [Option ID = 44818]
1. [Option ID = 44826]
2. [Option ID = 44824]
3. [Option ID = 44825]
4. [Option ID = 44823]
[Option ID = 44823]
21)
[Question ID = 26178]
1. [Option ID = 44707]
2. t with n degrees of freedom when n is small (≤ 30) [Option ID = 44709]
3. t with n-1 degrees of freedom when n is small (≤ 30) [Option ID = 44708]
4. t with n-1 degrees of freedom for all n. [Option ID = 44710]
[Option ID = 44707]
22)
[Question ID = 26205]
1. [Option ID = 44815]
2. [Option ID = 44818]
Page 6
3. [Option ID = 44816]
4. [Option ID = 44817]
[Option ID = 44815]
23)
[Question ID = 26172]
1. None of these [Option ID = 44686]
2. [Option ID = 44683]
3. [Option ID = 44685]
4. [Option ID = 44684]
[Option ID = 44683]
24)
[Question ID = 26175]
1. [Option ID = 44697]
2. [Option ID = 44698]
3. [Option ID = 44696]
4. [Option ID = 44695]
[Option ID = 44695]
25)
[Question ID = 26170]
1. 0 [Option ID = 44675]
2. 1 [Option ID = 44678]
3. [Option ID = 44676]
4. [Option ID = 44677]
4. [Option ID = 44817]
[Option ID = 44815]
23)
[Question ID = 26172]
1. None of these [Option ID = 44686]
2. [Option ID = 44683]
3. [Option ID = 44685]
4. [Option ID = 44684]
[Option ID = 44683]
24)
[Question ID = 26175]
1. [Option ID = 44697]
2. [Option ID = 44698]
3. [Option ID = 44696]
4. [Option ID = 44695]
[Option ID = 44695]
25)
[Question ID = 26170]
1. 0 [Option ID = 44675]
2. 1 [Option ID = 44678]
3. [Option ID = 44676]
4. [Option ID = 44677]
Page 7
0 [Option ID = 44675]
26)
[Question ID = 26210]
1. [Option ID = 44835]
2. [Option ID = 44837]
3. [Option ID = 44836]
4. [Option ID = 44838]
[Option ID = 44835]
27)
[Question ID = 26191]
1. 13 [Option ID = 44760]
2. 5 [Option ID = 44762]
3. 10 [Option ID = 44761]
4. 17 [Option ID = 44759]
17 [Option ID = 44759]
28)
[Question ID = 26181]
1. [Option ID = 44720]
26)
[Question ID = 26210]
1. [Option ID = 44835]
2. [Option ID = 44837]
3. [Option ID = 44836]
4. [Option ID = 44838]
[Option ID = 44835]
27)
[Question ID = 26191]
1. 13 [Option ID = 44760]
2. 5 [Option ID = 44762]
3. 10 [Option ID = 44761]
4. 17 [Option ID = 44759]
17 [Option ID = 44759]
28)
[Question ID = 26181]
1. [Option ID = 44720]
Page 8
2. [Option ID = 44721]
3. [Option ID = 44719]
4. [Option ID = 44722]
[Option ID = 44719]
29)
[Question ID = 26177]
1. ρ [Option ID = 44703]
2. [Option ID = 44705]
3. [Option ID = 44704]
4. +1 [Option ID = 44706]
ρ [Option ID = 44703]
30)
[Question ID = 26206]
1. [Option ID = 44820]
2. [Option ID = 44819]
3. [Option ID = 44822]
4. [Option ID = 44821]
3. [Option ID = 44719]
4. [Option ID = 44722]
[Option ID = 44719]
29)
[Question ID = 26177]
1. ρ [Option ID = 44703]
2. [Option ID = 44705]
3. [Option ID = 44704]
4. +1 [Option ID = 44706]
ρ [Option ID = 44703]
30)
[Question ID = 26206]
1. [Option ID = 44820]
2. [Option ID = 44819]
3. [Option ID = 44822]
4. [Option ID = 44821]
Page 9
[Option ID = 44819]
31)
[Question ID = 26187]
1. [Option ID = 44743]
2. [Option ID = 44746]
3. [Option ID = 44744]
4. [Option ID = 44745]
[Option ID = 44743]
32)
[Question ID = 26208]
1. 0.50 [Option ID = 44828]
2. 0.05 [Option ID = 44827]
3. 0.95 [Option ID = 44830]
4. 0.75 [Option ID = 44829]
0.05 [Option ID = 44827]
33)
31)
[Question ID = 26187]
1. [Option ID = 44743]
2. [Option ID = 44746]
3. [Option ID = 44744]
4. [Option ID = 44745]
[Option ID = 44743]
32)
[Question ID = 26208]
1. 0.50 [Option ID = 44828]
2. 0.05 [Option ID = 44827]
3. 0.95 [Option ID = 44830]
4. 0.75 [Option ID = 44829]
0.05 [Option ID = 44827]
33)
Page 10
[Question ID = 26179]
1. [Option ID = 44714]
2. [Option ID = 44712]
3. [Option ID = 44713]
4. [Option ID = 44711]
[Option ID = 44711]
34)
[Question ID = 26168]
1. 0 [Option ID = 44668]
2. 1 [Option ID = 44667]
3. [Option ID = 44670]
4. [Option ID = 44669]
1 [Option ID = 44667]
35)
[Question ID = 26182]
1. [Option ID = 44714]
2. [Option ID = 44712]
3. [Option ID = 44713]
4. [Option ID = 44711]
[Option ID = 44711]
34)
[Question ID = 26168]
1. 0 [Option ID = 44668]
2. 1 [Option ID = 44667]
3. [Option ID = 44670]
4. [Option ID = 44669]
1 [Option ID = 44667]
35)
[Question ID = 26182]
Page 11
1. 32 [Option ID = 44726]
2. 24 [Option ID = 44725]
3. 8 [Option ID = 44723]
4. 16 [Option ID = 44724]
8 [Option ID = 44723]
36)
[Question ID = 26183]
1. [Option ID = 44730]
2. [Option ID = 44728]
3. [Option ID = 44727]
4. [Option ID = 44729]
[Option ID = 44727]
37)
[Question ID = 26185]
1. [Option ID = 44736]
2. [Option ID = 44738]
3. [Option ID = 44737]
2. 24 [Option ID = 44725]
3. 8 [Option ID = 44723]
4. 16 [Option ID = 44724]
8 [Option ID = 44723]
36)
[Question ID = 26183]
1. [Option ID = 44730]
2. [Option ID = 44728]
3. [Option ID = 44727]
4. [Option ID = 44729]
[Option ID = 44727]
37)
[Question ID = 26185]
1. [Option ID = 44736]
2. [Option ID = 44738]
3. [Option ID = 44737]
Page 12
4. [Option ID = 44735]
[Option ID = 44735]
38)
[Question ID = 26437]
1. [Option ID = 45744]
2. [Option ID = 45743]
3. [Option ID = 45745]
4. [Option ID = 45746]
[Option ID = 45743]
39)
[Question ID = 26176]
1. no solution [Option ID = 44700]
2. a unique solution [Option ID = 44699]
3. exactly three solutions [Option ID = 44702]
4. infinite number of solutions [Option ID = 44701]
a unique solution [Option ID = 44699]
40)
[Question ID = 26204]
1. [Option ID = 44811]
[Option ID = 44735]
38)
[Question ID = 26437]
1. [Option ID = 45744]
2. [Option ID = 45743]
3. [Option ID = 45745]
4. [Option ID = 45746]
[Option ID = 45743]
39)
[Question ID = 26176]
1. no solution [Option ID = 44700]
2. a unique solution [Option ID = 44699]
3. exactly three solutions [Option ID = 44702]
4. infinite number of solutions [Option ID = 44701]
a unique solution [Option ID = 44699]
40)
[Question ID = 26204]
1. [Option ID = 44811]
Page 13
2. [Option ID = 44814]
3. [Option ID = 44813]
4. [Option ID = 44812]
[Option ID = 44811]
41)
[Question ID = 26203]
1. [Option ID = 44807]
2. [Option ID = 44809]
3. [Option ID = 44810]
4. [Option ID = 44808]
[Option ID = 44807]
42)
[Question ID = 26174]
1. p2 q2= r [Option ID = 44694]
2. pqr = 1 [Option ID = 44691]
3. p3 = rq3 [Option ID = 44692]
4. rp3 = q3 [Option ID = 44693]
pqr = 1 [Option ID = 44691]
43) For a 25 factorial experiment consisting of 23 blocks of size 22 each, the number of independent
effect(s) confounded with blocks is/are
[Question ID = 26214]
3. [Option ID = 44813]
4. [Option ID = 44812]
[Option ID = 44811]
41)
[Question ID = 26203]
1. [Option ID = 44807]
2. [Option ID = 44809]
3. [Option ID = 44810]
4. [Option ID = 44808]
[Option ID = 44807]
42)
[Question ID = 26174]
1. p2 q2= r [Option ID = 44694]
2. pqr = 1 [Option ID = 44691]
3. p3 = rq3 [Option ID = 44692]
4. rp3 = q3 [Option ID = 44693]
pqr = 1 [Option ID = 44691]
43) For a 25 factorial experiment consisting of 23 blocks of size 22 each, the number of independent
effect(s) confounded with blocks is/are
[Question ID = 26214]
Page 14
1. 1 [Option ID = 44854]
2. 4 [Option ID = 44851]
3. 2 [Option ID = 44853]
4. 3 [Option ID = 44852]
4 [Option ID = 44851]
44) Consider two urns. The first contains two white and seven black balls, and the second contains five
white and six black balls. A fair coin is tossed and then draw a ball from the first urn or the second urn
depending on whether the outcome was heads or tails. Then the probability that the outcome of the toss
was heads given that a white ball was selected is: [Question ID = 26186]
1. 67/99 [Option ID = 44742]
2. 2/9 [Option ID = 44739]
3. 22/67 [Option ID = 44741]
4. 5/11 [Option ID = 44740]
2/9 [Option ID = 44739]
45) The regression lines of Y on X and of X on Y are Y = aX+b and X = cY+d, then the ratio of standard
deviations of X and Y is [Question ID = 26200]
1. [Option ID = 44796]
2. [Option ID = 44798]
3. [Option ID = 44795]
4. [Option ID = 44797]
[Option ID = 44795]
46) Which of the following statements regarding a binomial experiment is false, where n is the number of
trials, and p is the probability of success in each trial? [Question ID = 26193]
1. The standard deviation is np(1-p) [Option ID = 44768]
2. The trials are independent [Option ID = 44767]
3. The mean is np [Option ID = 44769]
4. There are only two possible outcomes [Option ID = 44770]
The trials are independent [Option ID = 44767]
47) Which one of the following tests is used for testing the randomness for a given sample? [Question ID
= 26209]
1. Median test [Option ID = 44832]
2. Sign test [Option ID = 44831]
2. 4 [Option ID = 44851]
3. 2 [Option ID = 44853]
4. 3 [Option ID = 44852]
4 [Option ID = 44851]
44) Consider two urns. The first contains two white and seven black balls, and the second contains five
white and six black balls. A fair coin is tossed and then draw a ball from the first urn or the second urn
depending on whether the outcome was heads or tails. Then the probability that the outcome of the toss
was heads given that a white ball was selected is: [Question ID = 26186]
1. 67/99 [Option ID = 44742]
2. 2/9 [Option ID = 44739]
3. 22/67 [Option ID = 44741]
4. 5/11 [Option ID = 44740]
2/9 [Option ID = 44739]
45) The regression lines of Y on X and of X on Y are Y = aX+b and X = cY+d, then the ratio of standard
deviations of X and Y is [Question ID = 26200]
1. [Option ID = 44796]
2. [Option ID = 44798]
3. [Option ID = 44795]
4. [Option ID = 44797]
[Option ID = 44795]
46) Which of the following statements regarding a binomial experiment is false, where n is the number of
trials, and p is the probability of success in each trial? [Question ID = 26193]
1. The standard deviation is np(1-p) [Option ID = 44768]
2. The trials are independent [Option ID = 44767]
3. The mean is np [Option ID = 44769]
4. There are only two possible outcomes [Option ID = 44770]
The trials are independent [Option ID = 44767]
47) Which one of the following tests is used for testing the randomness for a given sample? [Question ID
= 26209]
1. Median test [Option ID = 44832]
2. Sign test [Option ID = 44831]
Page 15
3. Wilcoxon-Mann-Whitney U-test [Option ID = 44834]
4. Run test [Option ID = 44833]
Sign test [Option ID = 44831]
48) Which one of the following statements about the derivability is NOT true? [Question ID = 26169]
1. the function f(x) = | x – 1 | is derivable at x=2 [Option ID = 44674]
2. Every continuous function is derivable [Option ID = 44671]
3. The function f(x) = | x | is continuous on R [Option ID = 44672]
4. The function f(x) = | x | is derivable on R~{0} [Option ID = 44673]
Every continuous function is derivable [Option ID = 44671]
49) A system of 5 equations AX = b in 5 unknowns, has a solution if
[Question ID = 26171]
1. rank(A) = rank (A: b) [Option ID = 44679]
2. rank (A : b) – rank(A) =1 [Option ID = 44682]
3. rank (A) + rank ( A:b) = 5 [Option ID = 44681]
4. rank (A) < rank ( A: b) [Option ID = 44680]
rank(A) = rank (A: b) [Option ID = 44679]
50) An unbiased die is tossed successively till a six occurs. The expected number of tosses required is:
[Question ID = 26189]
1. 6 [Option ID = 44753]
2. 7 [Option ID = 44754]
3. 5 [Option ID = 44752]
4. 4 [Option ID = 44751]
4 [Option ID = 44751]
4. Run test [Option ID = 44833]
Sign test [Option ID = 44831]
48) Which one of the following statements about the derivability is NOT true? [Question ID = 26169]
1. the function f(x) = | x – 1 | is derivable at x=2 [Option ID = 44674]
2. Every continuous function is derivable [Option ID = 44671]
3. The function f(x) = | x | is continuous on R [Option ID = 44672]
4. The function f(x) = | x | is derivable on R~{0} [Option ID = 44673]
Every continuous function is derivable [Option ID = 44671]
49) A system of 5 equations AX = b in 5 unknowns, has a solution if
[Question ID = 26171]
1. rank(A) = rank (A: b) [Option ID = 44679]
2. rank (A : b) – rank(A) =1 [Option ID = 44682]
3. rank (A) + rank ( A:b) = 5 [Option ID = 44681]
4. rank (A) < rank ( A: b) [Option ID = 44680]
rank(A) = rank (A: b) [Option ID = 44679]
50) An unbiased die is tossed successively till a six occurs. The expected number of tosses required is:
[Question ID = 26189]
1. 6 [Option ID = 44753]
2. 7 [Option ID = 44754]
3. 5 [Option ID = 44752]
4. 4 [Option ID = 44751]
4 [Option ID = 44751]