Question: Please show all work and do not use Excel! Thank you! :) Problem 1 (11 points) A vending machine dispenses hot chocolate or coffee. Service

Please show all work and do not use Excel! Thank

Please show all work and do not use Excel! Thank you! :)

Problem 1 (11 points) 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 80 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.) b. Determine the average time customers spend in the system. (Do not round intermediate calculation. Round your answer to 2 decimal places.) c. Determine the average number of customers in the system. (Do not round intermediate calculation. Round your answer to 2 decimal places.)

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