4.96 Tennis, again The probability that a tennis player A can win a set from tennis player B is one measure of the comparative abilities of the two players. In Exercise 4.95 you found the probability distribution for X, the number of sets required to play a best-of-five- sets match, given that the probability that A wins any one set-call this P(A)is 0.6.

a. Find the expected number of sets required to com- plete the match for P(A) = 0.6.

b. Find the expected number of sets required to complete the match when the players are of equal ability that is, P(A) = 0.5.

c. Find the expected number of sets required to com- plete the match when the players differ greatly in ability-that is, say, P(A)=0.9.