Buses arrive at a specified stop at 15-minute intervals starting at 7: That is, they arrive at 7:00, 7:15, 7:30, 7: A passenger arrives at the stop…

Buses arrive at a specified stop at 15-minute intervals starting at 7:00 A.M. That is, they arrive at 7:00, 7:15, 7:30, 7:45,…..

A passenger arrives at the stop with probability f(x):

f(x)= {1/30 if 0 ≤ x ≤ 30, 0 otherwise

where X is the R.V. denoting the number of minutes passed 7:00 that the passenger arrives at the stop.

As is evident, the passenger only arrives at the stop between 7:00 – 7:30 A.M.

What is the probability that the passenger:

A. Waits less than 5 mins. for a bus?

B. Waits more than 10 mins. for a bus?