GATE ECE topic:probability-and-statistics PYQs & Answers — Page 2

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topic:probability-and-statistics

Questions 11–17 of 17. Imported answers require independent review unless marked reviewed.

Topic practice 17 questionsPage 2 of 2

is a random variable with uniform probability density function in the interval

. For

, the conditional probability

(rounded off to three decimal places) is __________ .

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and

are random variables such that

and

, then

_____.

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Let

be an exponential random variable with mean 1. That is, the cumulative distribution function of

is given by

. Then

, rounded off to two decimal places, is equal to _____.

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A cab was involved in a hit and run accident at night. You are given the following data about the cabs in the city and the accident. (i) 85% of cabs in the city are green and the remaining cabs are blue. (ii) A witness identified the cab involved in the accident as blue. (iii) It is known that a witness can correctly identify the cab colour only 80% of the time.

Which of the following options is closest to the probability that the accident was caused by a blue cab?

Your answerChoose one option.

12%

15%

41%

80%

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Let

and

be independent normal random variables with zero mean and unit variance. The probability that

is the smallest among the four is ______.

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Three fair cubic dice are thrown simultaneously. The probability that all three dice have the same number of dots on the faces show up is (up to third decimal place) ______.

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Passengers try repeatedly to get a seat reservation in any train running between two stations until they are successful. If there is 40% chance of getting reservation in any attempt by a passenger, then the average number of attempts that passengers need to make to get a seat reserved is ________.

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GATE ECE topic:probability-and-statistics PYQs

Question 54

Question 18

Question 20

Question 9

Question 23

Question 4

Question 29