MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question

Introduction to Statistics (Bus-172)

Q3. A car washing company guarantees that the maximum waiting time for its customers is 20 minutes. It also guarantees that any customer who has to wait longer than 20 minutes for this service will receive a 50% discount on the charges. It is estimated that the mean time taken for car washing service is 18 minutes per car and the standard deviation is 2.5 minutes. Suppose the time taken for washing per car has a normal distribution. (a) What is the probability that a randomly selected customer will have to wait between 15 to 22 minutes? Also, show the relevant area under the normal curve including standard normal scale. (b) What is the probability that a randomly selected customer will have to wait at most 25 minutes? (c) What percentage of the customers will receive the 50% discount on their charges?
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Transcribed Image Text:Q3. A car washing company guarantees that the maximum waiting time for its customers is 20 minutes. It also guarantees that any customer who has to wait longer than 20 minutes for this service will receive a 50% discount on the charges. It is estimated that the mean time taken for car washing service is 18 minutes per car and the standard deviation is 2.5 minutes. Suppose the time taken for washing per car has a normal distribution. (a) What is the probability that a randomly selected customer will have to wait between 15 to 22 minutes? Also, show the relevant area under the normal curve including standard normal scale. (b) What is the probability that a randomly selected customer will have to wait at most 25 minutes? (c) What percentage of the customers will receive the 50% discount on their charges?
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