Please help answer the question below.

A defective coin minting machine produces coins whose probability of Heads is a random variable @ with PDF fa (9) = 10, 5q, if q E [0, 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. 1. P (A) = ( Your answer should be a number.) 2. Find the conditional PDF of Q given event A. Express your answer in terms of q using standard notation. For 0