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The management at a fast-food outlet is interested in the joint behavior of the random variables Y1, defined as the total time between a customer’s arrival at the store and departure from the service window, and Y2, the time a customer waits in line before reaching the service window. Because Y1 includes the time a customer waits in line, we must have Y1 ≥ Y2. The relative frequency distribution of observed values of Y1 and Y2 can be modeled by the
with time measured in minutes. Find
- a P(Y1 < 2, Y2 > 1).
- b P(Y1 ≥ 2Y2).
- c P(Y1 − Y2 ≥ 1). (Notice that Y1 − Y2 denotes the time spent at the service window.)
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Chapter 5 Solutions
Mathematical Statistics with Applications
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