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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 28PPS
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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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