Mathematics, 18.05.2021 20:20 shamiya15

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?

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Visitor’s parking at Ozark College 8 is limited to ﬁve spaces only. I Cars making use of this space...

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