A player of the National Basketball Association's Portland Trail Blazers is the best free-throw shooter on the team, making 90% of his shots. Assume that late in a basketball game, the player is fouled and is awarded two shots. a. What is the probability that he will make both shots? .8649 (to 4 decimals) b. What is the probability that he will make at least one shot? .9951 (to 4 decimals) c. What is the probability that he will miss both shots? .0049 (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 that the Portland Trail Blazers' 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 Portland Trail Blazers' center is a better strategy than intentionally fouling Jamal Crawford. Assume as in parts (a), (b), and (c) that two shots will be awarded. What is the probability that Portland Trail Blazers' center will make both shots? .3136 (to 4 decimals) What is the probability that Portland Trail Blazers' center will make at least one shot? .8064 (to 4 decimals) What is the probability that Portland Trail Blazers' center will miss both shots? .1936 (to 4 decimals)
A player of the National Basketball Association's Portland Trail Blazers is the best free-throw shooter on the team, making 90% of his shots. Assume that late in a basketball game, the player is fouled and is awarded two shots. a. What is the probability that he will make both shots? .8649 (to 4 decimals) b. What is the probability that he will make at least one shot? .9951 (to 4 decimals) c. What is the probability that he will miss both shots? .0049 (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 that the Portland Trail Blazers' 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 Portland Trail Blazers' center is a better strategy than intentionally fouling Jamal Crawford. Assume as in parts (a), (b), and (c) that two shots will be awarded. What is the probability that Portland Trail Blazers' center will make both shots? .3136 (to 4 decimals) What is the probability that Portland Trail Blazers' center will make at least one shot? .8064 (to 4 decimals) What is the probability that Portland Trail Blazers' center will miss both shots? .1936 (to 4 decimals)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A player of the National Basketball Association's Portland Trail Blazers is the best free-throw shooter on the team, making 90% of his
shots. Assume that late in a basketball game, the player is fouled and is awarded two shots.
a. What is the probability that he will make both shots?
.8649
(to 4 decimals)
b. What is the probability that he will make at least one shot?
.9951
(to 4 decimals)
c. What is the probability that he will miss both shots?
.0049
(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 that the Portland Trail Blazers' 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
Portland Trail Blazers' center is a better strategy than intentionally fouling Jamal Crawford. Assume as in parts (a), (b), and (c) that
two shots will be awarded.
What is the probability that Portland Trail Blazers' center will make both shots?
.3136
(to 4 decimals)
What is the probability that Portland Trail Blazers' center will make at least one shot?
.8064
(to 4 decimals)
What is the probability that Portland Trail Blazers' center will miss both shots?
.1936
(to 4 decimals)
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