Suppose that the waiting time for a license plate renewal at a local office of a state motor vehicle department has been found to be normally distributed with a mean of 30 minutes and a standard deviation of 8 minutes.What is the probability that a randomly selected individual will have a waiting time at least 10 minutes?
A).9938
B).8944
C).1056
D).0062

Question

Quizplus · Accepted Answer

The probability that a randomly selected individual will have a waiting time at least 10 minutes is the area under the normal distribution curve to the right of 10 minutes. This area is found by standardizing 10 minutes using the formula z = (x - mu) / sigma, where x is the value to be standardized, mu is the mean, and sigma is the standard deviation. In this case, z = (10 - 30) / 8 = -2.5. The area to the right of z = -2.5 is found using a standard normal distribution table or calculator to be 0.9938.

Suppose That the Waiting Time for a License Plate Renewal