The #54 bus arrives at the stop near your house every quarter-hour sta

The #54 bus arrives at the stop near your house every quarter-hour sta

The #54 bus arrives at the stop near your house every quarter-hour starting at 6:00 a.m. You arrive at thebus stop every morning between 7:10 and 7:30, with the arrival time being uniformly distributed in thisinterval. Let X be the random variable that denotes your waiting time for the bus.(a) What is the PDF of X?(b) What is the probability that you have to wait more than 10 minutes?