A Crew of Mechanics at the Highway Department Garage Repair

question 56

Essay

A crew of mechanics at the Highway Department garage repair vehicles which break down at an average of λ = 5 vehicles per day (approximately Poisson in nature). The mechanic crew can service an average of μ= 10 vehicles per day with a repair time distribution that approximates an exponential distribution.
a. What is the probability that the system is empty?
b. What is the probability that there is precisely one vehicle in the system?
c. What is the probability that there is more than one vehicle in the system?
d. What is the probability of 5 or more vehicles in the system?

---

Definitions:

Nondeclarative Memory

A type of long-term memory that doesn't require conscious thought and includes procedural memory, such as how to do things like riding a bike.

Tie Shoes

The skill of fastening shoelaces, which involves fine motor coordination and is commonly taught to young children as part of developing independence.

Implicit Memories

Memories that influence our behaviors and thoughts without our conscious awareness, such as skills and conditioned responses.

Automatic Processing

The subconscious and effortless processing of information, which enables people to perform tasks without actively thinking about them.