Maurice Tutor

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Category > Management Posted 11 Feb 2018 My Price 8.00

density of these variables

If Y1 is the total time between a customer’s arrival in the store and leaving the service window and if Y2 is the time spent in line before reaching the window, the joint density of these variables, according to Exercise 5.15, is

Are Y1 and Y2 independent?

Exercise 5.15

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 probability density function

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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Maurice Tutor
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Status NEW Posted 11 Feb 2018 04:02 PM My Price 8.00

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