A defective coin minting machine produces coins whose probability of Heads is a random variable Q with PDF 59'\

A defective coin minting machine produces coins whose probability of Heads is a random variable Q with PDF 5q4 , fQ (q) o, if q [O, 1], otherwise. A coin produced by this machine is tossed repeatedly, with successive tosses assumed to be independent. Let A be the event that the first toss of this coin results in Heads, and let B be the event that the second toss of this coin results in Heads. 2. 3. (Your answer should be a number.) Find the conditional PDF of Q given event A. Express your answer in terms of q using standard notation. For 0 q 1, fQlA (q) (Your answer should be a number.)