4. (24%) Let X be a random variable uniformly distributed over [50,100] and Y = 200/X. Let Fₓ(x) and Fᵧ(y) denote the CDFs of X and Y, respectively, and fₓ(x) and fᵧ(y) denote the PDFs of X and Y, respectively. Find Fₓ(x), Fᵧ(y), fₓ(x) and fᵧ(y). (6% each)