5.2 The Uniform Distribution
The following activities and questions relate to material covered in Chapter 5.2 The Uniform Distribution in Introductory Business Statistics (OpenStax).
Questions
- The White Pass & Yukon Route Railway is a well-known tourist attraction bringing people between Skagway Alaska and Carcross Yukon. The time that the train takes is a uniformly distributed random variable that lies between 2.4 hours and 2.6 hours to complete a round trip. Imagine that you are in Skagway and have just missed the first train of the day and decide to wait for the next one.[1] What is the probability that you will wait fewer than 150 minutes?
Solutions
- Let X = the number of minutes you must wait for the train
a = 2.4 hours = 144 minutes
b = 2.6 hours = 156 minutes
P(135 < x < 155 ) = [latex]\dfrac{(150-144)}{(156-144)} = \dfrac{6}{12}[/latex] = 50%
There is a 50% chance that you will wait fewer than 150 minutes for the next train.
Media Attributions
- Carcross by Lisa Kanary is licensed under a CC BY 4.0 licence.
- Data source: ALASKA.ORG. (n.d.). White pass & Yukon route railroad. https://www.alaska.org/detail/white-pass-yukon-route-railroad ↵