National Basketball Association player Jamal Crawford of the L.A. Clippers is an excellent free-throw shooter, making 93% of his shots (ESPN website). Assume that, late in a basketball game, Jamal Crawford is fouled and is awarded two shots.
a. What is the probability that he will make both shots?
b. What is the probability that he will make at least one shot?
c. What is the probability that he will miss both shots?
d. Late in a basketball game, a team often intentionally fouls an opposing player in order to stop the game clock. The usual strategy is to intentionally foul the other team's worst free-throw shooter. Assume that the Los Angeles Clippers' center makes 58% of his free-throw shots. Calculate the probabilities for the center as shown in parts (a), (b), and (c), and show that intentionally fouling the Los Angeles Clippers' center is a better strategy than intentionally fouling Jamal Crawford. Assume as in parts (a), (b), and (c) that two shots will be awarded.