A major New York bank commissioned a study to measure the service levels of its over 500 ATMs in N.Y.. The ATMs were located in pairs inside vestibules attached to bank branches. The team used the finite queue version of multi server queuing model (i.e., Model 6) and suggested that the proportion of customers who balk (i.e., refuse to join the queue) should be used as the measure of service as opposed to the average wait time or average queue length, [t was suggested that if the probability of balking during busiest times is greater than 5%, then a vestibule should be expanded and an additional ATM installed in it. Consider a specific vestibule with 2 ATMs in it. There is space for 10 people in the vestibule (2 being served, 8 in line); average service time is 1.28 minutes per customer (approximately Exponential), and average arrival rate is 86 customers per hour (approximately Poisson) during the busiest times of the week (noon-1 pm or 1-2 pm weekdays). Determine the probability of balking at this vestibule. Should the vestibule be enlarged?

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You have learned that Mr. Moore does not drink alcohol in the mornings. He does not binge drink, and he does not drink on Sundays. He does, however, drink the other 6 days of the week. Mrs. Moore explains his pattern of drinking Monday through Friday with his partners as stated in the scenario above, but he does not drink at home on those days. She also informs you that he does drink on Saturdays at home, often starting in the afternoon and passing out by dinnertime. He has a history of being loud, frightening, and angry when under the influence of alcohol. You also learn that Mr. Moore’s father was a winemaker from Italy. Your supervisor, Officer Steve, suggests that you apply your knowledge of issues surrounding alcohol abuse and alcohol addiction to this case and write a memo to him. The memo should include the proper headings: “To,” “From,” “Date,” and “Re:.” The docket number and probation case file number should be included in the “Re:” section. You are beginning to determine whether Mr. Moore has an issue with alcohol that needs to be further addressed. In the memo, do the following: Submit the assignment in the format of a memo. Include the proper headings: “To,” “From,” “Date,” and “Re:.” The docket number and probation case file number need to be included in the “Re:” section. Apply the facts of Mr. Moore’s case to the definitions of alcohol abuse and alcohol addiction. Apply these facts to the differences between alcohol use and abuse. Apply these facts to the DSM-IV criteria for a diagnosis of alcohol abuse. Apply these facts to the disease model of alcohol abuse. Apply these facts to the role genetics and heredity may play in the transmission of alcohol abuse from one generation to another. ……. …..