A daily mail is delivered to your house between 1:00 p.m. and 5:00 p.m. Assume delivery times follow the continuous uniform distribution. Determine the percentage of mail deliveries that are made after 4:00 p.m.
A) 25%
B) 33.3%
C) 37.5%
D) 27.5%

Question

Quizplus · Accepted Answer

The total delivery window is from 1:00 p.m. to 5:00 p.m., which is 4 hours. Deliveries made after 4:00 p.m. are within the last hour of this window. Since the distribution is uniform, the percentage of deliveries made in any given hour is the same. Therefore, the percentage of deliveries made in the last hour (after 4:00 p.m.) is 1 hour / 4 hours = 0.25 or 25%.

A Daily Mail Is Delivered to Your House Between 1:00