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    Exponential random variable

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    I)Let X be an exponential random variable with mean 1,and Y = exp^(X/2):
    a)find F(y)
    b)Evaluate E(Y)
    c)Evaluate E[(Y^2)/(1+(X^2))]
    II)The random variable X is uniformly distributed on the interval [1,3].Find the probability density function fy(y)of the random variable Y=2X+5

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    Solution Summary

    This shows how to find the probability density function.