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Exponential random variable

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

Solution Summary

This shows how to find the probability density function.