A Car Wash Takes a Constant Time of 9

question 104

Essay

A Car Wash takes a constant time of 9.1 minutes in its automated car wash cycle. Autos arrive following a Poisson distribution at the rate of 6 per hour. The owner wants to know:
a) The average waiting time in line.
b) The average length of the line.
c) The average utilization rate.
d) The average time in the system.
e) The average number of customers in the system.

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Definitions:

Unidirectional Grooves

Grooves in a tire designed to optimize water evacuation and improve grip by pointing in a single direction, enhancing performance in wet conditions.

Axle Wheel Ends

The outer sections of a vehicle's axle where the wheels are mounted, including the hub, bearings, and related components.

Steer Axle

An axle that is equipped with wheels and tires and is responsible for steering the vehicle. It's typically located at the front of the vehicle.

Tire Life

The expected or actual duration of serviceability of a tire before it needs to be replaced due to wear, damage, or age.