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Suppose that Y is uniformly distributed over interval -1 to 2. Find the density function for...

Suppose that Y is uniformly distributed over interval -1 to 2. Find the density function for U=Y^2.

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Answer #1

solution:

The pdf for the Y varaible is given by

and the distribution function is given by

Now for , we have the distribution function of U as

Differentiate we get

Also for , , is a monotonic increasing function, So the pdf of U is given by

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