A technician starts a job at a time X that is uniformly dist

A technician starts a job at a time X that is uniformly distributed between 8:00 am and 8:15 am. The

amount of time Y to complete the job is an independent random variable that is uniformly distributed

between 20 and 30 minutes.

takes those values.

(b) What is the probability that the job will be completed before 8:30 am?

Solution