Problem 1\

15+15=30pts

\ Suppose

x

is a Gaussian random variable with mean 2 and variance 1 . Find the probability\ distribution of random variable

Y

for each of the following cases.\ a)

Y=ln(x^(2))

\ b)

Y=(x+1)/(x-1)

Problem 1 [15+15=30pts] Suppose X is a Gaussian random variable with mean 2 and variance 1 . Find the probability distribution of random variable Y for each of the following cases. a) Y=ln(X2) b) Y=X1X+1