Solution Found!
Waiting for a car wash. An automatic car wash takes
Chapter 4, Problem 82E(choose chapter or problem)
Problem 82E
Waiting for a car wash. An automatic car wash takes exactly 5 minutes to wash a car. On average, 10 cars per hour arrive at the car wash. Suppose that 30 minutes before closing time, 5 cars are in line. If the car wash is in continuous use until closing time, is it likely anyone will be in line at closing time?
Questions & Answers
QUESTION:
Problem 82E
Waiting for a car wash. An automatic car wash takes exactly 5 minutes to wash a car. On average, 10 cars per hour arrive at the car wash. Suppose that 30 minutes before closing time, 5 cars are in line. If the car wash is in continuous use until closing time, is it likely anyone will be in line at closing time?
ANSWER:
Solution :
Step 1 of 1:
Let the number of cars that arrive at the car wash at 30 minute.
We know that on an average 10 cars per hour arrive at the car wash.
Let X follows a Poisson distribution with mean = 5.