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
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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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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