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At a motor shop, with one mechanic, riders arrive according to a Poisson distribution with a mean arrival rate of 5 riders per hour. Repair
At a motor shop, with one mechanic, riders arrive according to a Poisson distribution with a mean arrival rate of 5 riders per hour. Repair time was found to be exponentially distributed with an average repair taking 10 minutes. As it is a famous motor shop, customers do have patience to wait. Find:
- The average number of riders in the shop
- The average number of riders waiting to have the repair done
- The probability that queue size can be greater than or equal to 1
- The percentage of riders who have to wait prior to having their motor's turn to be repaired by the mechanic
- The percentage of riders who can walk into the motor shop without waiting
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