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From historical data, Harry’s Car Wash estimates that dirty cars arrive at the rate of 10...

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Advance Math

  1. From historical data, Harry’s Car Wash estimates that dirtycars arrive at the rate of 10 per hour all day Saturday. With acrew working the wash line, Harry figures that cars can be cleanedat the rate of one every 5 minutes. One car at a time is cleaned inthis example of a single-channel waiting line. Assuming Poissonarrivals and exponential service times, find the
    1. average number of cars inline.
    2. average time a car waits before it is washed.
    3. average time a car spends in the service system.
    4. utilization rate of the car wash.
    5. probability that no cars are in the system.

Please be detailed and show your work.

Answer & Explanation Solved by verified expert
4.1 Ratings (679 Votes)
SOLUTION Arrival rate 10 cars Per hour Service rate One car at every 5 minutes Service rate 12 cars per hour Number of servers s 1 So A    See Answer
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