Question: The density of a random variable X is given by Let Y = e X . (a) Find the density function of Y (b) Find

The density of a random variable X is given by

3x2, for 0 < r < 1 f(x) = otherwise. 0,

Let Y = eX.
(a) Find the density function of Y
(b) Find E[Y] two ways: 

(i) Using the density of Y and 

(ii) Using the density of X.

3x2, for 0 < r < 1 f(x) = otherwise. 0,

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