Question: Please do not use excel to explain. A clear explained written response please. Question 3. (Total 20 points) The operators of a local hockey rink

Please do not use excel to explain. A clear explained written response please.

Question 3. (Total 20 points) The operators of a local hockey rink run a skate sharpening shop on the premises. One person works the counter at a time. Skate sharpening time is exponentially distributed with an average of 30 minutes per pair of skates. Requests for skate sharpening come in at an average of 6 per day (8 hour day) (assume Poisson). Determine: a) The average number of customers waiting to be served b) The percentage of time the person working the counter is busy c) The average amount of time a customer is at the counter (waiting and being served) d) The probability that 2 or more customers are waiting in line for service e) The probability that 3 or more customers are waiting in line for service f) Without doing any calculations, what suggestions do you have for the operators to improve the experience of the customers at the counter (waiting and being served)

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