GATE MA year:2018 PYQs & Answers — Page 7

Questions 61–65 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 7 of 7

For

, let

. Then

_________.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Let

be independent exponential random variables with mean

, respectively. Then

has exponential distribution with mean equal to _________.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Let

be the number of heads in 4 tosses of a fair coin by Person 1 and let

be the number of heads in 4 tosses of a fair coin by Person 2. Assume that all the tosses are independent. Then the value of

correct up to three decimal places is _________.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

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 _________.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A certain commodity is produced by the manufacturing plants

and

whose capacities are 6 and 5 units, respectively. The commodity is shipped to markets

and

whose requirements are 1, 2, 3 and 5 units, respectively. The transportation cost per unit from plant

to market

is as follows:

Then the optimal cost of transportation is _________.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE MA year:2018 PYQs