In a Waiting Line Situation, Arrivals Occur Around the Clock

question 6

Essay

In a waiting line situation, arrivals occur around the clock at a rate of six per day, and the service occurs at one every three hours. Assume the Poisson and exponential distributions.
a.What is λ?
b.What is μ?
c.Find probability of no units in the system.
d.Find average number of units in the system.
e.Find average time in the waiting line.
f. Find average time in the system.
g. Find probability that there is one person waiting.
h. Find probability an arrival will have to wait.

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Definitions:

Repudiated

Refused to accept or be associated with; to reject a proposal, idea, or relationship, often legally or formally.

Noncompete Agreement

A legal contract preventing one party from entering into or starting a similar profession or trade in competition against another party.

Bargained-For Exchange

In reference to agreements, when a promise is made in exchange for another promise, in exchange for an act, or in exchange for a forbearance to act.

Contracts For Necessaries

Legal agreements for the supply of essential goods or services, such as food, shelter, and clothing, especially pertinent to persons unable to enter into contracts, like minors.