The amount of time required for routine automobile transmission service is normally distributed with the mean 35 min and the standard deviation 7.5 min. The service manager plans to have work begin on the transmission of a customer's car 10 min after the car is dropped off, and the customer is told that the car will be ready within 1 hr total time. What is the probability that the service manager will be wrong? Illustrate the proportion of area under the normal curve which is relevant in this case.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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The amount of time required for routine automobile transmission service is normally
distributed with the mean 35 min and the standard deviation 7.5 min. The service manager
plans to have work begin on the transmission of a customer's car 10 min after the car is
dropped off, and the customer is told that the car will be ready within 1 hr total time. What is
the probability that the service manager will be wrong? Illustrate the proportion of area under
the normal curve which is relevant in this case.
Transcribed Image Text:The amount of time required for routine automobile transmission service is normally distributed with the mean 35 min and the standard deviation 7.5 min. The service manager plans to have work begin on the transmission of a customer's car 10 min after the car is dropped off, and the customer is told that the car will be ready within 1 hr total time. What is the probability that the service manager will be wrong? Illustrate the proportion of area under the normal curve which is relevant in this case.
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