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A vending machine dispenses hot chocolate or coffee. Service time is 25 seconds per cup and is constant. Customers arrive at a mean rate of 57 per hour, and this rate is Poisson-distributed.
a. Determine the average number of customers waiting in line. (Round your answer to 2 decimal places)
Average number of customer: 0.13
b. Determine the average time customers spend in the system. (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Average time: 7.78 minutes
c. Determine the average number of customers in the system. (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Average number: 0.53 customers
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