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7. John Wayne is known to be a famous Cowboy Western star in the movies playing in such roles as "Rio Bravo" and "True Grit". He is also pretty good with a six-shooter! Suppose John Wayne enjoys target practice at old beer cans on a fence rail. It has been estimated that he is successful in hitting the can 84% of the time. His trusty pair of Colt six-shooters holds 6 round each (total bullets = 12). (a) What is the probability that John Wayne hits the can exactly 8 times during one round of shooting (emptying both six-shooters)? (b) What is the variance associated with John Wayne's successful can hit during target practice? (c) What is the probability of John Wayne hitting at least one can?

7. John Wayne is known to be a famous Cowboy Western star in the movies playing in such roles as "Rio Bravo" and "True Grit". He is also pretty good with a six-shooter! Suppose John Wayne enjoys target practice at old beer cans on a fence rail. It has been estimated that he is successful in hitting the can 84% of the time. His trusty pair of Colt six-shooters holds 6 round each (total bullets = 12). (a) What is the probability that John Wayne hits the can exactly 8 times during one round of shooting (emptying both six-shooters)? (b) What is the variance associated with John Wayne's successful can hit during target practice? (c) What is the probability of John Wayne hitting at least one can?

MATLAB: An Introduction with Applications
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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7. John Wayne is known to be a famous Cowboy Western star in the movies playing in such roles as "Rio Bravo" and "True Grit". He is also pretty good with a six-shooter! Suppose John Wayne enjoys target practice at old beer cans on a fence rail. It has been estimated that he is successful in hitting the can 84% of the time. His trusty pair of Colt six-shooters holds 6 round each (total bullets = 12). (a) What is the probability that John Wayne hits the can exactly 8 times during one round of shooting (emptying both six-shooters)? (b) What is the variance associated with John Wayne's successful can hit during target practice? (c) What is the probability of John Wayne hitting at least one can?
Transcribed Image Text:7. John Wayne is known to be a famous Cowboy Western star in the movies playing in such roles as "Rio Bravo" and "True Grit". He is also pretty good with a six-shooter! Suppose John Wayne enjoys target practice at old beer cans on a fence rail. It has been estimated that he is successful in hitting the can 84% of the time. His trusty pair of Colt six-shooters holds 6 round each (total bullets = 12). (a) What is the probability that John Wayne hits the can exactly 8 times during one round of shooting (emptying both six-shooters)? (b) What is the variance associated with John Wayne's successful can hit during target practice? (c) What is the probability of John Wayne hitting at least one can?
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