GATE IN Probabity and Statistics PYQs & Answers

Questions 1–10 of 13. Imported answers require independent review unless marked reviewed.

Indian Premier League has divided the sixteen cricket teams into two equal pools: Pool-A and Pool-B. Four teams of Pool-A have blue log jerseys while the rest four have red log jerseys. Five teams of Pool-B have blue log jerseys while the rest three have red log jerseys.

If one team from each pool reaches the final, the probability that one team has a blue log jersey and another has a red log jersey is ______ (rounded off to one decimal place).

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A random variable X has a probability density function

The probability of X > 2 is _________ (rounded off to three decimal places).

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is a discrete random variable which takes values 0, 1 and 2. The probabilities are

and

. With

denoting the expectation operator, the value of

is _____ (rounded off to one decimal place).

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A bag contains six red balls and four blue balls. If three balls are drawn in succession with replacement, the probability that the second and third balls drawn are red is ______ (round off to two decimal places)

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Consider that X and Y are independent continuous valued random variables with uniform PDF given by

and

. Then

is equal to ________ (rounded off to two decimal places).

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A player throws a ball at a basket kept at a distance. The probability that the ball falls into the basket in a single attempt is 0.1. The player attempts to throw the ball twice. Considering each attempt to be independent, the probability that this player puts the ball into the basket only in the second attempt (rounded off to two decimal places) is ____.

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Consider two identical bags B1 and B2 each containing 10 balls of identical shapes and sizes. Bag B1 contains 7 Red and 3 Green balls, while bag B2 contains 3 Red and 7 Green balls. A bag is picked at random and a ball is drawn from it, which was found to be Red. The probability that the Red ball came from bag B1 (rounded off to one decimal place) is ____

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A box has 8 red balls and 8 green balls. Two balls are drawn randomly in succession from the box without replacement. The probability that the first ball drawn is red and the second ball drawn is green is

Your answerChoose one option.

4/15

7/16

1/2

8/15

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The function

is given by

where A and

are constants with

and

for

. For

to be a probability density function, the value of A should be equal to

Your answerChoose one option.

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and

are two independent random variables with variances 1 and 2, respectively. Let

. The variance of Z is

Your answerChoose one option.

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GATE IN Probabity and Statistics PYQs

How to practice Probabity and Statistics

Question 35

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