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Suppose that a particular NBA player makes 90% of his free throws. Assume that late in a basketball game, this player is fouled and is
Suppose that a particular NBA player makes 90% of his free throws. Assume that late in a basketball game, this player is fouled and is awarded two free throws. a. What is the probability that he will make both free throws? (to 4 decimals) b. What is the probability that he will make at least one free throw? (to 4 decimals) c. What is the probability that he will miss both free throws? (to 4 decimals) 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 the team's worst free throw shooter makes 58% of his free throws. 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 90% of his free throws. Assume as in parts (a), (b), and (c) that two free throws will be awarded. What is the probability that this player will make both throws? (to 4 decimals) What is the probability that will make at least one throw? (to 4 decimals) What is the probability that this player will miss both throws? (to 4 decimals)
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