a. (5 marks} Let H m Uniform[Cl, 1) and the conditional distribution of X given H = :IT is l3inon1ial(1J 7r). Find the conditional probability density function of H given X = 3:. b. (5 marks) Let X be a continuous random variable with cumulative distribution function Fx(:1:) = P{X 5 :12). Let Y = F; (X } Find the distribution of Y