Question

Asked Oct 25, 2019

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 17 minutes and a standard deviation of 2.5minutes.

(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 a discount to more than 5% 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 which %. ?

(Round to two decimal places as needed.)

Step 1

According to the question the time required for an automotive center to complete an oil change service on an automobile approximately follows a normaldistribution, with:

μ = 17

σ = 2.5

a)

In this case, ...

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