Answered: The life of a certain timing belt is…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Question

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?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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