GATE MA topic:quantitative-aptitude PYQs & Answers — Page 5

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Questions 41–50 of 56. Imported answers require independent review unless marked reviewed.

Topic practice 56 questionsPage 5 of 6

Let

and

be independent geometric random variables with the same probability mass function given by

. Then the value of

correct up to three decimal places is _________.

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Let

be the distribution function of a random variable

. Consider the functions:

Which of the above functions are distribution functions?

Your answerChoose one option.

Neither

nor

Only

Both

and

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Let

(

) be independent and identically distributed random variables with finite variance

and let

. Then the covariance between

and

Your answerChoose one option.

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Let

(

) be a random sample from a

population, where

. The smallest

such that the length of the shortest 95% confidence interval for

will not exceed 10 is ______.

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Let

be a random variable with probability mass function

for

. Then

equals ________.

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Let

and

be independent and identically distributed random variables with probability mass function

. Then

equals (rounded to 2 decimal places) ________.

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Let

be a sequence of independent and identically distributed Poisson random variables with mean 4. Then

equals ________.

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Let

and

be independent and identically distributed exponential random variables with probability density function

Then

equals (rounded to 2 decimal places) ________.

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Let

and

be any two events with

and

. Then

equals (rounded to 2 decimal places) ________.

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Let

be a random sample from a binomial distribution with parameters

and

, and let

. Then a uniformly minimum variance unbiased estimator for

Your answerChoose one option.

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GATE MA topic:quantitative-aptitude PYQs

Question 54

Question 21

Question 22

Question 23

Question 46

Question 47

Question 48

Question 49

Question 50

Question 51