A customer spent half an hour to travel to an automotive service center. The duration of waiting in a particular automotive service center is uniformly distributed between 40 minutes and 3 hours.

a. Determine the density function for the waiting time in the particular automotive service center.

b. Find the mean and standard deviation for the waiting time in the particular automotive service center.

c. What is the probability that the waiting time in the service center for a particular customer is more than 1.5 hours?

d. What is the probability that the waiting time in the service center for a particular customer is between 1 and 2.5 hours?