In Exercise 4.92 you found the probability distribution for x, the number of sets required to play

Question:

In Exercise 4.92 you found the probability 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 .6.
a. Find the expected number of sets required to complete the match for P(A) = .6.
b. Find the expected number of sets required to complete the match when the players are of equal ability-that is, P(A) = .5.
c. Find the expected number of sets required to complete the match when the players differ greatly in ability-that is, say, P(A) = .9.
d. What is the relationship between P(A) and E(x), the expected number of sets required to complete the match?
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...