Problem
The Celtics and the Lakers are set to play a playoff series of n basketball games, where n is odd. The Celtics have a probability p of winning any one game, independent of other games.
(a) Find the values of p for which n = 5 is better for the Celtics than n = 3.
(b) Generalize part (a). i.e., for any k > 0, find the values for p for which n = 2k + 1 is better for the Celtics than n = 2k - 1.
The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.