A tire manufacturer warranties its tires to last at least 20198 miles or "you get a new set of tires." In its experience, a set of these tires lasts on average 26198 miles with standard deviation 5132 miles. Assume that the wear is normally distributed. The manufacturer profits Rs. 200 on each set sold, and replacing a set costs the manufacturer Rs. 400. What is the probability that a set of tires wears out before What is the probability that a set of tires wears out before 20198 miles? 24198 miles and after 20198 miles? What is tbe cutoff value in terms of mniles of the ton 66% wearing out tires

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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A tire manufacturer warranties its tires to last at least
20198 miles or “you get a new set of tires."
In its experience, a set of these tires lasts on average
26198 miles with standard deviation
5132 miles.
Assume that the wear is normally distributed. The manufacturer profits Rs. 200 on each set sold, and
replacing a set costs the manufacturer Rs. 400.
What is the probability that a set of tires wears out before
20198 miles?
What is the probability that a set of tires wears out before
24198 miles and after
20198 miles?
What is the cutoff value in terms of miles of the top
66% wearing out tires.
Transcribed Image Text:A tire manufacturer warranties its tires to last at least 20198 miles or “you get a new set of tires." In its experience, a set of these tires lasts on average 26198 miles with standard deviation 5132 miles. Assume that the wear is normally distributed. The manufacturer profits Rs. 200 on each set sold, and replacing a set costs the manufacturer Rs. 400. What is the probability that a set of tires wears out before 20198 miles? What is the probability that a set of tires wears out before 24198 miles and after 20198 miles? What is the cutoff value in terms of miles of the top 66% wearing out tires.
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