Refer to Exercise 5.33. If two minutes elapse between a

Chapter 5, Problem 35E

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QUESTION:

Refer to Exercise 5.33. If two minutes elapse between a customer’s arrival at the store and his

departure from the service window, find the probability that he waited in line less than one minute to reach the window.

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QUESTION:

Refer to Exercise 5.33. If two minutes elapse between a customer’s arrival at the store and his

departure from the service window, find the probability that he waited in line less than one minute to reach the window.

ANSWER:

Solution:

Step- 1 of 2:

It is given that the random variable denotes the total time between arrival and departure of a customer from a store and  denotes the time spent by the customer in the line before reaching the service window.

The joint distribution of these two random variables is

f(,)=

Also it is given that if =2 minutes.

Using this we need to find t5he probability that   is less than one minute given that =2 minutes.

That is we have to find t5he value of P( <1/=2 ).


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