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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
11 Nov 2021

Given information

A subway train on the Red Line arrives every eight minutes during rush hour. We are interested in the length of time a commuter must wait for a train to arrive. The time follows a uniform distribution.

Step-by-step explanation

Step 1.

The required probability can be calculated as follows:

 

Hence, the percentile is .  

The probability question can be stated as the probability of percentile of the commuters who need to wait more than minutes.

The Graph is plotted below,

 

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