Consider the pdf for total waiting time Y for two buses introduced in Exercise 8.

a. Compute and sketch the cdf of Y. [Hint: Consider separately and in computing F(y). A graph of the pdf should be helpful.]

b. Obtain an expression for the (100p)th percentile. [Hint:

Consider separately and .]

c. Compute E(Y ) and V(Y). How do these compare with the expected waiting time and variance for a single bus when the time is uniformly distributed on [0, 5]?