Visitor’s parking at Ozark College 8 is limited to five spaces only. I Cars making use of this space arrive according to a Poisson distribution at a rate of 6 cars per hour. I Parking time is exponentially distributed with a mean of 30 minutes. I Visitors who cannot find an empty space on arrival may temporarily wait inside the lot until a parked car leaves. I The temporary space can hold only three cars. I Other cars that cannot park or find a temporary waiting space must go elsewhere.
a) What is the probability 6 cars in the system?
b) What is the average number of cars in the lot?
c) What is the average time a car waits for a parking space inside the lot?
d) What is the average time a car spends in the lot?
e) What is the average number of occupied parking spaces?