Let X be a continuous random variable with probability density fX that takes only positive values and let Y = 1/X. a. Determine FY (y) and show that b. Let Z = 1/Y . Using a, determine the probability...

Let X be a continuous random variable with probability density fX that takes only positive values and let Y = 1/X.

a. Determine FY (y) and show that

b. Let Z = 1/Y . Using a, determine the probability density
Z of Z, in terms of
X.