5. Suppose Y has probability density function fy(y) = (c/y)I(1/2

5. Y has probability density function fy (y) y 2), where 1() is an indicator fimction and c a constant. That is, {0 otherwise (a) Find Che value of the constant c. (b) Suppose Xl and X2 arc two independent Bernoulli random variables with success prob- ability p that are also independent of Y. Define Z XIY + (1 Xl)X2. Compute the probability 3/4). (c) Draw a picture of the graph of the cumulative distribution function of Z defined by Fz(t) = t).