The time required for an automotive center to complete an oil change service on an automobile approximately follows a normal distribution, with a mean of 17 minutes and a standard deviation of 2.5 minutes.(a) The automotive center guarantees customers that the service will take no longer than20minutes. If it does take longer, the customer will receive the service for half-price. What percent of customers receive the service for half-price?(b) If the automotive center does not want to give the discount to more than7%of its customers, how long should it make the guaranteed time limit?

The Z-score of a random variable X is defined as follows: Z=(X–µ)/σ Here, µ and σ are the mean and…

Answered: The time required for an automotive…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Problem 1P

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The time required for an automotive center to complete an oil change service on an automobile approximately follows a normal distribution, with a mean of 17 minutes and a standard deviation of 2.5 minutes.

(a) The automotive center guarantees customers that the service will take no longer than

minutes. If it does take longer, the customer will receive the service for half-price. What percent of customers receive the service for half-price?

(b) If the automotive center does not want to give the discount to more than

of its customers, how long should it make the guaranteed time limit?

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