Let Y = X2.(a) Find the pdf of Y when the distribution of

Chapter 5, Problem 15E

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QUESTION:

Problem 15E

Let Y = X2.

(a) Find the pdf of Y when the distribution of X is N(0, 1).

(b) Find the pdf of Y when the pdf of X is f (x) = (3/2)x2, − 1 < x < 1.

Questions & Answers

QUESTION:

Problem 15E

Let Y = X2.

(a) Find the pdf of Y when the distribution of X is N(0, 1).

(b) Find the pdf of Y when the pdf of X is f (x) = (3/2)x2, − 1 < x < 1.

ANSWER:

Step 1 of 3

It is given that, .

To find:

a) The pdf of if the distribution of  is .

b) The pdf of Y when the pdf of  is , .

 

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