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Questions › JNU › JNU SSS 2018 › Q12
1 mark, −0.25Statistics › Random variables and standard distributions › Transformations and order statisticsModerateabout 2 min

JNU SSS 2018 Question 12: Random variables and standard distributions

Random variable XXX is uniformly distributed on the interval (−4,4)(-4, 4)(−4,4). Let Y=X2Y = X^2Y=X2. What is the probability that random variable YYY has a realization less than 2 ?

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Random variable X is uniformly distributed on the interval (-4, 4). Let Y = X². What is the probability that random variable Y has a realization less than 2? (A) √2/4 (B) 1/2 (C) √2 (D) 0

Also written as: Random variable X is uniformly distributed on the interval (-4, 4). Let Y = X^2. What is the probability that random variable Y has a realization less than 2?

Random variables and standard distributions has come up 173 times in 7 exams since 2005.

What this question tests

This question is on Transformations and order statistics, part of Random variables and standard distributions in Statistics.

The distribution of a function of a random variable, and of the largest or smallest of several.

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Question from the JNU SSS 2018 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.