(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let X be a random variable with pdf f(x)=2x , for 0<x<1 and let Y=X^2, find the cdf of Y.

2. Relevant equations

3. The attempt at a solution

cdf = P(Y<=y) = P(X^2<=y)

[tex]= P(-\sqrt{y}\leq X\leq \sqrt{y})[/tex]

[tex]=\int^{\sqrt{y}}_{-\sqrt{y}}2x dx [/tex]

= 0 for 0<y<1

Am i correct?

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# Homework Help: Change of variable

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