GATE MA purpose:exam-prep PYQs & Answers — Page 64

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Questions 631–640 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 64 of 65

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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Let

be a random sample from a

population. For testing

against

, the most powerful test rejects

, where

is to be chosen such that the level of significance is 0.1. Then the power of this test equals ________.

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Let

be a random sample from a

population, where

, and let

. Then the maximum likelihood estimator of

Your answerChoose one option.

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Consider the following transportation problem. The entries inside the cells denote per unit cost of transportation from the origins to the destinations.

Origin	Destination 1	Destination 2	Destination 3	Supply
1	4	3	6	20
2	7	10	5	30
3	8	9	7	50
Demand	10	30	60

The optimal cost of transportation equals ________.

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Consider the linear programming problem (LP):

is an optimal solution of the above LPP with

, then the largest value of

(rounded to 2 decimal places) for which

remains optimal equals ________.

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GATE MA purpose:exam-prep PYQs

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