Suppose that a particular NBA player makes 93% of his free throws. Assume that late in a basketball game, this player 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 team’s worst free-throw shooter makes 58% of his free-throw shots. Calculate the probabilities for this player as shown in parts (a), (b), and (c), and show that intentionally fouling this player who makes 58% of his free throws is a better strategy than intentionally fouling the player who makes 93% of his free throws. Assume as in parts (a), (b), and (c) that two shots will be awarded.