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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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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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