Let X be a random variable with PDF f(x). Find the PDF of the random variable Y = e^X for each of the following cases:
(a) For general f(x):
1/3, if -2 < x < 1
0, otherwise.
(b) When f(x) = 2e^(-2x), if x > 0:
0, otherwise.
(c) When f(x) = 0:
0, otherwise.
(d) When X is a standard normal random variable.