Question: A vending machine serves hot chocolate or coffee. Serving time is 30 seconds per cup and is constant. Customers arrive at an average rate of

A vending machine serves hot chocolate or coffee. Serving time is 30 seconds per cup and is constant. Customers arrive at an average rate of 80 per hour, and this rate behaves like a Poisson distribution. Determine:

1. The average number of customers waiting in line.

2. The average time customers spend in the system.

3. The average number of customers in the system.

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