Question

The time required for an automotive center to complete the service oil change service on an automobile approximately follows a normal distribution

1.

The time required for an automotive center to complete the service oil change service on an automobile approximately follows a normal distribution, with a mean 19 minutes and a standard deviation of 3 minutes.  

a. The automotive center guarantees customers that the service will take no longer than 20 minutes. If it does take ionger, the customer will receive the service for half-price. What percent of customers recelve the service for half-price? 

b. If the automotive center does not want to give the discount to more than 7 % 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 _______  %.


2.

The mean incubation time of fertilized eggs is 19 days. Suppose the incubation times are approximately normally distributed with a standard deviation of 1 day.

(a) Determine the 13 th percentile for incubation times.

(b) Determine the incubation times that make up the middle 39 %.


(a) The 13 th percentile for incubation times is _______  days.


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