Question

In: Statistics and Probability

Let X have the pdf fX(x) = 3(1 − x) 2 , 0 < x <...

Let X have the pdf fX(x) = 3(1 − x) 2 , 0 < x < 1.

(a) Find the pdf of Y = (1 − X) 3 . Specify the distribution of Y (name and parameter values). (b) Find E(Y ) and Var(Y ).

Solutions

Expert Solution

Alternative method to find mean and variance of Y is

Result:-

For any uniform (a,b) distribution

Therefore,

For

And

orchestra answered 1 year ago
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