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The life of a certain timing belt is approximately normally distributed wit the mean of 90,000 miles and standard deviation of 10,000 miles.a) Find the probability that a randomly selected timing belt fails at less than 75,000 milesb) Since it is impractical to change a timing belt at the side of the road, it may be a good idea to change them all as a preventative measure to make sure that no more than 1% of all tire changes occur at the side of the road. At what mileage should it be done?

The life of a certain timing belt is approximately normally distributed wit the mean of 90,000 miles and standard deviation of 10,000 miles.a) Find the probability that a randomly selected timing belt fails at less than 75,000 milesb) Since it is impractical to change a timing belt at the side of the road, it may be a good idea to change them all as a preventative measure to make sure that no more than 1% of all tire changes occur at the side of the road. At what mileage should it be done?

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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The life of a certain timing belt is approximately normally distributed wit the mean of 90,000 miles and standard deviation of 10,000 miles.
a) Find the probability that a randomly selected timing belt fails at less than 75,000 miles
b) Since it is impractical to change a timing belt at the side of the road, it may be a good idea to change them all as a preventative measure to make sure that no more than 1% of all tire changes occur at the side of the road. At what mileage should it be done?

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