Customers arrive at an automated coffee vending machine at a rate of 4 per minute, following a Poisson distribution. The coffee machine dispenses a cup of coffee in exactly 10 seconds. (a) What is the...

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Customers arrive at an automated coffee vending machine at a rate of 4 per minute, following a Poisson distribution. The coffee machine dispenses a cup of coffee in exactly 10 seconds.
(a) What is the average number of people waiting in line?

(b) What is the average number in the system?

(c) How long does the average person wait in line before receiving service?





Answered Same DayDec 24, 2021

Answer To: Customers arrive at an automated coffee vending machine at a rate of 4 per minute, following a...

David answered on Dec 24 2021
127 Votes
Arrival rate is per minute
Service rate is per minute
Here we have only one service channel (one vending machine)
1.
The average number of people waiting in line is
So, the average number of people waiting in line is 2.
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2.
The average number of people waiting...
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