Example 7: Subway trains on a certain line run every half hour between mid-night and six in the morning. What is the probability that a man entering the station at a random time during this period will have to wait: (i) (ii) (iii) At least 20 minutes? At most 25 minutes? Between 25 to 30 minutes? Also compute the mean and variance of the above distribution and comments on your results.

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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Example 7: Subway trains on a certain line run every half hour between mid-night and six in
the morning. What is the probability that a man entering the station at a random time during
this period will have to wait:
(i)
(ii)
(iii)
At least 20 minutes?
At most 25 minutes?
Between 25 to 30 minutes?
Also compute the mean and variance of the above distribution and comments on your results.
Transcribed Image Text:Example 7: Subway trains on a certain line run every half hour between mid-night and six in the morning. What is the probability that a man entering the station at a random time during this period will have to wait: (i) (ii) (iii) At least 20 minutes? At most 25 minutes? Between 25 to 30 minutes? Also compute the mean and variance of the above distribution and comments on your results.
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