(Solved): Question 5. NBA Free Throws. Suppose that a particular NBA player makes 93% of free throws. Assume ...

Question 5. NBA Free Throws. Suppose that a particular NBA player makes $93\%$ of free throws. Assume that late in a basketball game, this player is fouled and is awarded two shots. a. What is the probability that the player will make both shots? b. What is the probability that the player will make at least one shot? c. What is the probability that the player will miss both shots? d. Late in a basketball game, a team often intentionally fouls an opposing player in order to stop the clock. The strategy tends to be intentionally fouling 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 for parts (a), (b), and (c) again, assuming two shots. Is intentionally fouling this player (who makes $58\%$ ) of the free throws a better strategy than intentionally fouling the player who makes $93\%$ of the free throws?