Question

A bus comes by every 8 minutes. A person arrives at the bus stop at a randomly selected time. Round all answers to two decimal places.

The mean of the distribution is [ Select ] ["4", "4.8", "5", "3.5"]

Answer 1

The mean of the uniform distribution for the waiting time for a bus that arrives every 8 minutes is 4 minutes.

Step-by-step explanation:

The mean of the distribution for the waiting time for a bus is the average time a person has to wait if they arrive at a completely random time.

Since buses come every 8 minutes and the distribution of arrival times is uniformly distributed, the mean waiting time would be exactly half of the time interval between buses.

Thus, the mean waiting time is 4 minutes (half of 8 minutes).