ASSIGNMENT-CONTINUOUS PROBABILITY DISTRIBUTIONS
Problem-1:
Bangkok University provides bus service to students while they are on campus. A bus arrives at the
North Main Street and College Drive stop every 30 minutes between 6 a.m. and 11 p.m. during
weekdays. Students arrive at the bus stop at random times. The time that a student waits is uniformly
distributed from 0 to 30 minutes.
Requirement:
1. Draw a graph of this distribution.
2. Show that the area of this uniform distribution is 1.00.
3. How long will a student "typically" have to wait for a bus? In other words, what
is the mean waiting time? What is the standard deviation of the waiting times?
4. What is the probability a student will wait more than 25 minutes?
5. What is the probability a student will wait between 10 and 20 minutes?