Assume that on weekdays after the morning rush hour but before the evening rush hour the wait time for the CTA Red Line subway is continuously uniformly distributed between 0 and 8 minutes. What is the expected wait time on a weekday around mid-day? What is the probability of waiting for two minutes or less on a weekday around mid-day? What is the probability of waiting for two minutes or less around mid-day on three weekdays in a row?

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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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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  1. Assume that on weekdays after the morning rush hour but before the evening rush hour the wait time for the CTA Red Line subway is continuously uniformly distributed between 0 and 8 minutes.
    1. What is the expected wait time on a weekday around mid-day?
    2. What is the probability of waiting for two minutes or less on a weekday around mid-day?
    3. What is the probability of waiting for two minutes or less around mid-day on three weekdays in a row?

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