In the NBA LeBron James had a free throw success percentage of 68.9% for the 2016-17 season.  a) If during a game, LeBron shot 6 free throws, find the probability that he Made exactly 4 free throws.  b) If over the course of a season LeBron shoots 600 free throws, find the mean and standard deviation of the probability distribution for the number of free throws he makes. c) Use the Empirical Rule to determine what range would you expect the number of successful free throws over the season. Clearly state the lower and upper bounds.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
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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In the NBA LeBron James had a free throw success percentage of 68.9% for the 2016-17 season. 

a) If during a game, LeBron shot 6 free throws, find the probability that he Made exactly 4 free throws. 

b) If over the course of a season LeBron shoots 600 free throws, find the mean and standard deviation of the probability distribution for the number of free throws he makes.

c) Use the Empirical Rule to determine what range would you expect the number of successful free throws over the season. Clearly state the lower and upper bounds.

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