GATE ME topic:probability-and-statistics PYQs & Answers — Page 3

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Questions 21–27 of 27. Imported answers require independent review unless marked reviewed.

Topic practice 27 questionsPage 3 of 3

A six-faced fair dice is rolled five times. The probability (in %) of obtaining “ONE” at least four times is

Your answerChoose one option.

33.3

3.33

0.33

0.0033

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The arrival of customers over fixed time intervals in a bank follow a Poisson distribution with an average of 30 customers/hour. The probability that the time between successive customer arrival is between 1 and 3 minutes is ______ (correct to two decimal places).

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Let

be two independent normal random variables with means

and standard deviations

, respectively. Consider

;

. Then,

Your answerChoose one option.

Y is normally distributed with mean 0 and variance 1

Y is normally distributed with mean 0 and variance 5

Y has mean 0 and variance 5, but is NOT normally distributed

Y has mean 0 and variance 1, but is NOT normally distributed

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Let

and

be two independent exponentially distributed random variables with means 0.5 and 0.25, respectively. Then

Your answerChoose one option.

exponentially distributed with mean 1/6

exponentially distributed with mean 2

normally distributed with mean 3/4

normally distributed with mean 1/6

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Two coins are tossed simultaneously. The probability (upto two decimal points accuracy) of getting at least one head is ________.

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A sample of 15 data is as follows: 17, 18, 17, 17, 13, 18, 5, 5, 6, 7, 8, 9, 20, 17, 3. The mode of the data is

Your answerChoose one option.

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A six-face fair dice is rolled a large number of times. The mean value of the outcomes is ________

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GATE ME topic:probability-and-statistics PYQs

Question 18

Question 24

Question 26

Question 27

Question 1

Question 4

Question 5