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 19 minutes and a standard deviation of 2 minutes. (a) The automotive center guarantees customers that the service will take no longer than 20 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 5% of its customers, how long should it make the guaranteed time limit?
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 19 minutes and a standard deviation of 2 minutes. (a) The automotive center guarantees customers that the service will take no longer than 20 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 5% of its customers, how long should it make the guaranteed time limit?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 19 minutes and a standard deviation of 2 minutes.
(a) The automotive center guarantees customers that the service will take no longer than 20 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 5% of its customers, how long should it
make the guaranteed time limit?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb0d4a884-7750-4e06-bea4-e5f84615217d%2F34e46712-b4bc-41aa-8871-7a9cd84e77f4%2Frtmn9ir_processed.png&w=3840&q=75)
Transcribed Image Text: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 19 minutes and a standard deviation of 2 minutes.
(a) The automotive center guarantees customers that the service will take no longer than 20 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 5% of its customers, how long should it
make the guaranteed time limit?
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