To get from your dorm to your first class of the day, you ride your bicycle across campus. Suppose that travel times follow a normal distribution with a mean time of8 minuteswith a standard deviation of2 minutes.

(a)One morning you wake up late, and you have only3minutes to make it to class. What is thez-score for the3-minutetrip?

(b)Using the Empirical Rule, what is the probability that it takes less than10minutes to arrive to class?

(c)What is the probability that it takes less than3minutes to arrive to class? (Usea tableor technology. Round your answer to four decimal places.)

(d)What is the probability that it takes between5and 10 minutes to arrive to class? (Usea tableor technology. Round your answer to four decimal places.)