We want to find a random variable to describe how many shots a basketball player makes, where they are taking 20 shots from the same location and they historically make this shot 68% of the time. (1) What is the most appropriate type of distribution to use when describing this random variable? (2) What values should we set the parameter(s) to be? (3) What is the probability of the ball player making exactly 15 shots?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 14T: An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten...
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We want to find a random variable to describe how many shots a basketball player makes, where they are taking 20 shots from the same location and they historically make this shot 68% of the time.

(1) What is the most appropriate type of distribution to use when describing this random variable?

(2) What values should we set the parameter(s) to be?
(3) What is the probability of the ball player making exactly 15 shots?
(4) What is the probability of the ball player making at most 12 shots?

(5) What is the probability of the ball player making strictly more than 10 shots?

(6) What is the probability of the ball player not missing a single shot?

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