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Question 2. (Total 25 points) Refer to Question 4 of Assignment #2) The operators of a doggie day care offer doggie pedicures on the premises.

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Question 2. (Total 25 points) Refer to Question 4 of Assignment #2) The operators of a doggie day care offer doggie pedicures on the premises. One person works the pedicure counter at a time. Doggie pedicures are exponentially distributed with an average of 15 minutes per dog. Dog owners come into the shop requesting a pedicure for their dog at an average of 10 per day (8 hour day) (assume Poisson). Determine: a) The average amount of time a customer is waiting to be served (minutes). b) The average number of customers at the doggie day care. c) The average amount of time a customer is in the doggie day care (minutes). d) The probability that 2 or more customers are waiting in line for service. e) The probability an arriving customer doesn't have to wait. f) The probability of exactly 3 customers are waiting in line for service. g) The probability that a customer will have to wait more than 6 minutes. h) 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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