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...


The time required for an automotive center to complete an oil change service on an automobile approximately follows a normal distribution, with<br>a mean of 19 minutes and a standard deviation of 2 minutes.<br>(a) The automotive center guarantees customers that the service will take no longer than 20 minutes. If it does take longer, the customer will<br>receive the service for half-price. What percent of customers receive the service for half-price?<br>(b) If the automotive center does not want to give the discount to more than 3% of its customers, how long should it make the guaranteed time<br>limit?<br>(a) The percent of customers that receive the service for half-price is<br>%.<br>(Round to two decimal places as needed.)<br>

Extracted 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 3% of its customers, how long should it make the guaranteed time limit? (a) The percent of customers that receive the service for half-price is %. (Round to two decimal places as needed.)

Jun 10, 2022
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