Let X have the pdf f (x) = 4x3, 0 < x < 1. Find the pdf of

Chapter 5, Problem 1E

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QUESTION:

Problem 1E

Let X have the pdf f (x) = 4x3, 0 < x < 1. Find the pdf of Y = X2.

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QUESTION:

Problem 1E

Let X have the pdf f (x) = 4x3, 0 < x < 1. Find the pdf of Y = X2.

ANSWER:

Problem 1E

Let X have the pdf . Find the pdf of

                                                               Step by Step Solution

Step 1 of 2

Given that X has the pdf  and suppose Y be another random variable defined by

To determine the pdf of Y

First, let us express X in terms of Y.

Let

Since , therefore

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