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Questions › JNU › JNU SSS 2012 › Q14
1 mark, −0.25Statistics › Random variables and standard distributions › Expectation and varianceModerateabout 1 min

JNU SSS 2012 Question 14: Random variables and standard distributions

A random variable YYY has the following distribution :

YYY−1-1−1012
P(Y)P(Y)P(Y)3C3C3C2C2C2C0·40·1

The variance of the random variable 4×Y4 \times Y4×Y is

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A random variable Y has the following distribution: | Y | -1 | 0 | 1 | 2 | P(Y) | 3C | 2C | 0·4 | 0·1 | The variance of the random variable 4 × Y is (A) 4·04 (B) 1·01 (C) 16·16 (D) None of the above

Also written as: A random variable Y has the following distribution: | Y | -1 | 0 | 1 | 2 | P(Y) | 3C | 2C | 0·4 | 0·1 | The variance of the random variable 4 * Y is

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

What this question tests

This question is on Expectation and variance, part of Random variables and standard distributions in Statistics.

The mean and spread of a random variable, and how they change under transformations and sums.

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Question from the JNU SSS 2012 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.