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Questions › JNU › JNU SSS 2017 › Q2
1 mark, −0.25Statistics › Random variables and standard distributions › Transformations and order statisticsEasyabout 1 min

JNU SSS 2017 Question 2: Random variables and standard distributions

XXX is a random variable that takes the values (i) 1 with probability ppp and (ii) −1-1−1 with probability (1−p)(1 - p)(1−p). Assume that 0<p<10 < p < 10<p<1. Let Y=X2Y = X^2Y=X2. Which one of the following statements is true?

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Plain-text version

X is a random variable that takes the values (i) 1 with probability p and (ii) -1 with probability (1 - p). Assume that 0 < p < 1. Let Y = X². Which one of the following statements is true? (A) The mean of Y is (2p - 1)². (B) The variance of Y is zero. (C) The variance of Y depends on the value of p. (D) None of the above

Also written as: X is a random variable that takes the values (i) 1 with probability p and (ii) -1 with probability (1 - p). Assume that 0 < p < 1. Let Y = X^2. Which one of the following statements is true?

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 2017 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.