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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.

    Answer:

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

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

    © BrainMass Inc. brainmass.com June 3, 2020, 5:56 pm ad1c9bdddf
    https://brainmass.com/statistics/cumulative-distribution-function/cumulative-distribution-function-and-probability-density-function-42598

    Solution Summary

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

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