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Cumulative distribution function and probability density function

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Let f(x)= 1/3, -1<x<2, zero elsewhere, be the pdf of X. Find the cdf and pdf of Y=X^2. Hint: Consider P(X^2<=y) for two cases: 0<=y<1 and 1<=y<4.


pdf 1/(3*sqrt[y]), 0<y<1,

pdf 1/(6*sqrt[y]), 1<y<4

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Solution Summary

This solution uses step by step equations to find the cumulative distribution function and probability density function.