A gas supplier maintains a team of Engineers who are available to deal with leaks reported by customers. Most reported leaks can be dealt with quickly but some require a long time. The time (excluding travelling time) taken to deal with reported leaks is found to have a mean of 65 minutes and a standard deviation of 60 minutes. Assuming that the times may be modelled by a normal distribution, estimate the probability that: It will take more than 185 minutes to deal with a reported leak . It will take between 50 minutes and 125 minutes to deal with a reported leak.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A gas supplier maintains a team of Engineers who are available to deal with leaks reported by customers. Most reported leaks can be dealt with quickly but some require a long time. The time (excluding travelling time) taken to deal with reported leaks is found to have a mean of 65 minutes and a standard deviation of 60 minutes. Assuming that the times may be modelled by a normal distribution, estimate the probability that:

It will take more than 185 minutes to deal with a reported leak .

It will take between 50 minutes and 125 minutes to deal with a reported leak. 

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