7. Consider the following pdf on R: f (2) = or- ifazl 0 otherwise where a > 0. Such a distribution is often used to model the wealth in a society. (a) Find the cdf and quantile function corresponding to the pdf f. (b) Explain how we can generate a random variable with this pdf f from a uniform random variable on [0, 1]. (c) Let X be a random variable with this pdf f, and let Y = log X. Find the cdf and pdf of Y