A Crew of Mechanics at the Highway Department Garage Repair

question 69

Essay

A crew of mechanics at the Highway Department Garage repair vehicles that 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?

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Definitions:

Venation Patterns

The arrangement of veins in a leaf or insect's wing, which can be used for identification and classification purposes.

Eudicots

One of the two major groups of flowering plants, characterized by having two cotyledons (seed leaves), net-veined leaves, and flower parts usually in multiples of four or five.

Monocots

A group of flowering plants (angiosperms) that have a single embryonic leaf, or cotyledon, in their seeds.

Blade

The broad, flat part of a leaf or similar structure, specialized for photosynthesis in most plants.