# 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

https://brainmass.com/statistics/probability/exponential-random-variable-28059

#### Solution Summary

This shows how to find the probability density function.

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