Uniform Distribution

A bus arrives at a stop every 30 minutes between 6:00 am and 11:00 pm weekdays. People arrive at the bus stop at random times. The time that a person waits is uniformly distributed from 0 to 30 minutes.

New Example

1. Determine the mean waiting time.
2. Determine the standard deviation of the waiting times.
3. What is the probability that the wait will be more than 12 minutes?

Solution