Question

the length of time it takes to find a parking space at 9 a.m. follows a normal distribution with a mean of 6 minutes and a standard deviation of 3 minutes. sixty percent of the time, it takes more than how many minutes to find a parking space? (round your answer to two decimal places.)

Answer 1

5.24 minutes

Explanation:

Given that finding a parking space takes a mean of 6 minutes with a standard deviation of 3 minutes, you want the time that is exceeded in 60% of the cases.

Inverse normal

The minimum time for 60% of the cases can be described as the maximum time in 40% or fewer of the cases. That is, it is the 40th percentile of the distribution of search times. The calculator gives that time as 5.24 minutes.

It takes more than 5.24 minutes to find a space 60% of the time.

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