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 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
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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Question
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 themean of this distribution.
b. Find the standard deviation of this distribution.
You will find theprobability that a commuter will wait between 2.8
and 5.2 minutes for a train.
c. Sketch the distributionfunction 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.
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
b. Find the standard deviation of this distribution.
You will find the
and 5.2 minutes for a train.
c. Sketch the distribution
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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