Car Wash will wash a car in exponential amount of time with mean 10 minutes. Arrivals occur as a Poisson process with rate 5 per hour. a) What is percent of the time the car wash is idle? b) On the average how many cars are in the system? c) On the average how many cars are waiting in line? d) On the average how long does a car spends in the system? e) What fraction of times there are more than 3 cars in the system? f) What is the probability that a car spends more than 30 minutes in the system?

Practical Management Science
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Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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D,E,F

Car Wash will wash a car in exponential amount of time with mean 10
minutes. Arrivals occur as a Poisson process with rate 5 per hour.
a) What is percent of the time the car wash is idle?
b) On the average how many cars are in the system?
c) On the average how many cars are waiting in line?
d) On the average how long does a car spends in the system?
e) What fraction of times there are more than 3 cars in the system?
f) What is the probability that a car spends more than 30 minutes in the
system?
Transcribed Image Text:Car Wash will wash a car in exponential amount of time with mean 10 minutes. Arrivals occur as a Poisson process with rate 5 per hour. a) What is percent of the time the car wash is idle? b) On the average how many cars are in the system? c) On the average how many cars are waiting in line? d) On the average how long does a car spends in the system? e) What fraction of times there are more than 3 cars in the system? f) What is the probability that a car spends more than 30 minutes in the system?
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