A car service center guarantees that the maximum waiting time for its customers is 20 minutes for a cleaning service. It also guarantees that any customer who has to wait longer than 20 minutes for this service will receive a discount on the charges. It is assumed that the mean waiting time for all cars which waited for the cleaning service at this center is 16 minutes and the standard deviation is 2.5 minutes. Suppose the time taken for the cleaning service by all cars follows a normal distribution. (a) What percentage of customers will have to wait between 14 to 18 minutes? Also, show the relevant area both under the normal curve including standard normal scale. (b) What is the probability that a randomly selected customer will have to wait more than 15 minutes? (c) What percentage of customers will be eligible for the discount?
A car service center guarantees that the maximum waiting time for its customers is 20 minutes for a cleaning service. It also guarantees that any customer who has to wait longer than 20 minutes for this service will receive a discount on the charges. It is assumed that the mean waiting time for all cars which waited for the cleaning service at this center is 16 minutes and the standard deviation is 2.5 minutes. Suppose the time taken for the cleaning service by all cars follows a normal distribution. (a) What percentage of customers will have to wait between 14 to 18 minutes? Also, show the relevant area both under the normal curve including standard normal scale. (b) What is the probability that a randomly selected customer will have to wait more than 15 minutes? (c) What percentage of customers will be eligible for the discount?
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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