Suppose that a particular NBA player makes 91% 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? 0.8281 (to 4 decimals) b. What is the probability that he will make at least one free throw? 0.9919 (to 4 decimals) E. What is the probability that he will miss both free throws? 0.0081 (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 ceam's worst free-throw shooter. Assume the team's worst free throw shooter makes 57% 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 57% of his free throws is a better strategy than intentionally fouling the player who makes 01% of his free throws. Assume as in parts (a), (b), and (c) that two free throws will be awarded. Nhat is the probability that this player will make both throws? '(to 4 decimals) What is the probability that will make at least one throw?
Suppose that a particular NBA player makes 91% 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? 0.8281 (to 4 decimals) b. What is the probability that he will make at least one free throw? 0.9919 (to 4 decimals) E. What is the probability that he will miss both free throws? 0.0081 (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 ceam's worst free-throw shooter. Assume the team's worst free throw shooter makes 57% 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 57% of his free throws is a better strategy than intentionally fouling the player who makes 01% of his free throws. Assume as in parts (a), (b), and (c) that two free throws will be awarded. Nhat is the probability that this player will make both throws? '(to 4 decimals) What is the probability that will make at least one throw?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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