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Let X be normally distributed with mean 3 and variance σ2 . Let Y = 3X...

Let X be normally distributed with mean 3 and variance σ2 . Let Y = 3X + 7.

A) Find the mean, variance, and PDF of Y. (The other listed solution does not have the PDF.)

B) Assuming P(Y ≤ 17) = .6331, find σ2 .

C) Assuming σ2 = 1, find the PDF of W = (|Y|)1/2 + 1.

Math   Statistics-And-Probability   
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