You are waiting for the bus to arrive to pick you up. You believe the wait time can be anynumber between 0 and 5 minutes, with uniform density.

a. What is the probability that you wait less than 2.5 minutes?

b. What is the expected time in minutes that you will be waiting for the bus? Interpret this in

context of the problem in a sentence or two.

c. What is the probability that you wait between 1.5 and 3.5 minutes?

d. Now say you wait for the bus 5 days in a row, with each day being independent of one another.What is the probability that you waited more than 2.5 minutes everyday?

e. Continuing the scenario in part d., what is the probability that you waited more than 2.5 minutes at least one of the days?