Solution Found!
Refer to Exercise 5.33. If two minutes elapse between a
Chapter 5, Problem 35E(choose chapter or problem)
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.
Questions & Answers
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 ).