Two players take turns shooting at a target, with each shot by player i hitting the target with probability pi, i = 1, 2. Shooting ends when two consecutive shots hit the target. Let μi denote the mean number of shots taken when player i shoots first, i = 1, 2.

(a) Find μ1 and μ2.

(b) Let hi denote the mean number of times that the target is hit when player i shoots first, i = 1, 2. Find h1 and h2.