A vending machine dispenses hot chocolate or coffee. Service time is 30 seconds per cup and is constant. Customers arrive at a mean rate of 76 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                                 b. Determine the average time customers spend in the system. (Do not round intermediate calculations. Round your answer to 2 decimal places.)     Average time                              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                               customers

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A vending machine dispenses hot chocolate or coffee. Service time is 30 seconds per cup and is constant. Customers arrive at a mean rate of 76 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                              


 

b.

Determine the average time customers spend in the system. (Do not round intermediate calculations. Round your answer to 2 decimal places.)


 

  Average time                              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                               customers  


 

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