Question: need some help solving this question. please help. thanks! Will runs a dog grooming service, and has asked you to analyze the current 'line situation.
need some help solving this question. please help. thanks!
Will runs a dog grooming service, and has asked you to analyze the current 'line situation. He has gathered data and calculated that he can groom a dog in about 10 minutes, based on a negative exponential distribution. He also noted that about 2 dogs every 25 minutes arrive to his shop. during all operating hours, based on a Poisson distribution. a. How long, on average, will a dog wait for grooming? [ Select] b. In total, how long will a dog spend in the shop waiting and being groomed? Select] V c. Will's shop is fairly small, and he only has space for 6 dogs to be in the shop before it gets crowded. What is the probability that there will be more than 6 dogs at any time? [Select Will wants to reduce the wait time, and is considering two options. The first would be to hire a helper, who would assist Will, and reduce the grooming time from 10 minutes to 8 minutes. (NOTE: The helper only helps, and does not work alone.) d. What would the wait time be with a helper? (Select) The second option is to rent an Auto-Groomer, a new machine that would allow Will to groom a dog in a constant 9 minutes. e. What would the wait time be with Auto-Groomer? (Select] f. Assuming both options cost the same amount and all else is equal, which should Will choose to deliver the shortest wait time? [Select]
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