A subway train arrives every six 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. Round your answer to four decimal places where possible. Don’t forget to show your work. a.Find the mean of this distribution. b. Find the standard deviation of this distribution. You will find the probability that a commuter will wait between 2.8 and 5.2 minutes for a train. c.  Sketch the distribution function AND shade the area under the curve which is between 2.8 and 5.2 minutes. d. Now use Part c to find the probability of a commuter waiting between 2.8 and 5.2 minutes for a train.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A subway train arrives every six 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. Round your answer to four
decimal places where possible. Don’t forget to show your work.
a.Find the mean of this distribution.
b. Find the standard deviation of this distribution.
You will find the probability that a commuter will wait between 2.8
and 5.2 minutes for a train.
c.  Sketch the distribution function AND shade the area under the
curve which is between 2.8 and 5.2 minutes.
d. Now use Part c to find the probability of a commuter waiting
between 2.8 and 5.2 minutes for a train.
 
 
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