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Question 6, (20 pts.) Let f(z)-,-1 < pts.) Let f(z)-,-1 <ぴ2, zero elsewhere, be 2, zero a) Find the cdf of x. 3 Y b) Find the moment generating function of x 3-t y+니 c) Let Y 4-X2. Find the pdf of Y Find py = E(Y).
I don’t understand where I messed up on these
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Answer #1

(x) xl b) t-v ト-3 3 → 3 レ リ3 dvi

your mistake is:

For calculation of E(Y) you used directly distribution function. Inplace of that you have to use density of 'y'

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