A tire manufacturer warranties its tires to last at least Q5 20189 miles or "you get a new set of tires." In its experience, a set of these tires lasts on average 26189 miles with standard deviation 5054 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. a) What is the probability that a set of tires wears out before 20189 miles? b) What is the probability that a set of tires wears out before c) What is the cutoff value in terms of miles of the top 24189 miles and after 20189 miles? 27% 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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Q5
A tire manufacturer warranties its tires to last at least
20189 miles or "you get a new set of tires."
In its experience, a set of these tires lasts on average
26189 miles with standard deviation
5054 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.
a) What is the probability that a set of tires wears out before
20189 miles?
b) What is the probability that a set of tires wears out before
24189 miles and after
20189 miles?
c) What is the cutoff value in terms of miles of the top
27% wearing out tires.
Transcribed Image Text:Q5 A tire manufacturer warranties its tires to last at least 20189 miles or "you get a new set of tires." In its experience, a set of these tires lasts on average 26189 miles with standard deviation 5054 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. a) What is the probability that a set of tires wears out before 20189 miles? b) What is the probability that a set of tires wears out before 24189 miles and after 20189 miles? c) What is the cutoff value in terms of miles of the top 27% wearing out tires.
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