You have been informed that the assessor will visit your home sometime between 10:00 am and 12:00 pm. It is reasonable to assume that his visitation time is uniformly distributed over the specified two-hour interval. Suppose you have to run a quick errand at 10:00 am.

a.If it takes 15 minutes to run the errand, what is the probability that you will be back before the assessor visits?

b.If it takes 30 minutes to run the errand, what is the probability that you will be back before the assessor visits?(Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)