In the biathlon event of the Olympic Games, a participant skis cross-country and on four intermittent occasions stops at a rifle range and shoots a set of five shots. If the center of the target is hit, no penalty points are assessed. If a particular man has a history of hitting the center of the target with 80% of his shots, what is the probability of the following. (Give your answers correct to three decimal places.) (a) He will hit the center of the target with all five of his next set of five shots. (b) He will hit the center of the target with at least four of his next set of five shots.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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In the biathlon event of the Olympic Games, a participant skis cross-country and on four intermittent occasions stops at a rifle range and shoots a set of five shots. If the center of the target is hit, no penalty points are assessed. If a particular man has a history of hitting the center of the target with 80% of his shots, what is the probability of the following. (Give your answers correct to three decimal places.)

(a) He will hit the center of the target with all five of his next set of five shots.


(b) He will hit the center of the target with at least four of his next set of five shots. (Assume independence.)
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