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. 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 ↵