A web server receives thousands of requests per hour. The arrival time of these requests

follows a uniform distribution. (7)

a) Draw the graph of this distribution for the first hour.

b) What is the probability that a request will come in the first 5 minutes?

c) What is the probability that the request will come between the 15

th

and 25

th

minutes?

2. Wait times to see a health care specialist in Canada is exponentially distributed with an

average time of 18 weeks. You have some knee pain, and your family doctor is sending you to

a specialist. Calculate the probability that the wait time will be: (5)

a) less than 10 weeks.

b) more than 20 weeks.