Between 5:00 PM and 6:00 PM, cars arrive at Jiffy Lube at the rate of 9 cars per hour (0.15 car per minute).The following formula from probability can be used to determine the probability that a car will arrive within t minutes of 5:00 _PM:

F(t) = 1 - e^-0.15t 

(a) Determine the probability that a car will arrive within 15 minutes of 5:00 PM (that is, before 5:15 PM).

(b) Determine the probability that a car will arrive within 30 minutes of 5:00 PM (before 5:30 PM).

(c) What value does F approach as t becomes unbounded in the positive direction?

(d) Graph F using a graphing utility.

(e) Using INTERSECT, determine how many minutes are needed for the probability to reach 60%.