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Questions › UoH › UoH 2015 › Q30
1 mark, −0.33Statistics › Random variables and standard distributions › Expectation and varianceModerateabout 1 min

UoH 2015 Question 30: Random variables and standard distributions

Let XXX and YYY be random variables such that Y=4X+12Y = 4X + 12Y=4X+12. Given that mean of YYY is μY=64\mu_Y = 64μY​=64 and its standard deviation is σY=52\sigma_Y = 52σY​=52, then,

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Let X and Y be random variables such that Y = 4X + 12. Given that mean of Y is μ_Y = 64 and its standard deviation is σ_Y = 52, then, (A) μ_X = 16 and σ_X = 13. (B) μ_X = 64 and σ_X = 52. (C) μ_X = 13 and σ_X = 13. (D) μ_X = 13 and σ_X = 52.

Also written as: Let X and Y be random variables such that Y = 4X + 12. Given that mean of Y is mu_Y = 64 and its standard deviation is sigma_Y = 52, then,

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 UoH 2015 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.