Problem:
A newly opened car wash station has a car wash machine. The machine washes each car in a constant rate of 5 minutes per car. it has been estimated that costumers will arrive according to a poisson distribution at an average of 8 per hour. The owner would like to know:
Required:
Question 1) expected average time in minutes a costumer waits in line
Question 2) average number of cars in the station( both waiting in line and being washed).
Solve the numerical problem and show calculation.