Let X be a continuous random variable with probability density function (PDF) fx(x) = { 0 ce 0≤x≤1, otherwise. We also know that, given X = x, the random variable Y has a geometric distribution with parameter x. (a) Find the constant c. (b) Find the ML estimate of X, when Y = k is observed. (c) Find the MAP estimate of X, when Y = 3 is observed. (d) Find the MAP estimate of X, when Y = k is observed.