Question: Let X be a random variable with density function f (x) = ex, x > 0. Obtain the density function for each of the following

Let X be a random variable with density function f (x) = e−x, x > 0.

Obtain the density function for each of the following variables:

Y = −2X, Z = (1 + X)−1, and W =

{

X, if X ≤ 1, 1∕X, if X > 1.

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