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Please show all work 3. A particular fast-food outlet is interested in the joint behavior of the random variable Y1, the total time between a

Please show all work

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3. A particular fast-food outlet is interested in the joint behavior of the random variable Y1, the total time between a customer's arrival at the store and his leaving the service window, and let Y2, the time that the customer waits in line before reaching the service. Since Y1 contains the time a customer waits in line, we must have Y1 2:312. The relative frequency distribution of observed values of Y1 and Y2 can be modelled by the probability density function _ 3'3'1 053'2 53/1 1). Find M1 2 2Y2). Find ELLI Y2 21). [Note Y1 -Y2 denote the time spent at the service m: Ifa customer's total waiting time service time is known to be more than 2 minutes, nd the probability that the customer waited less than 1 minute to be served. Find m1 Y2). Find m1 Y2). g. Is it highly likely that a customer would spend more than 2 minutes at the service window? h. Find Y2

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