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Use This Information to Answer the Following Questions -Refer to the Table

question 2

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Use this information to answer the following questions.
 Number of Servers 1.0 Arrival Rate 7.00 Service Rate 10.00P(0) , probability that there are no customers in the system 30%Lq, average length of the queue 1.63 W, average time in the system 0.33 L, average number of customers in the system 2.33Wq, average time in the queue 0.23 Utilization factor of the system 70%\begin{array}{l|c}\text { Number of Servers } & 1.0 \\\text { Arrival Rate } & 7.00 \\\text { Service Rate } & 10.00 \\\mathrm{P}(0) \text {, probability that there are no customers in the system } & 30 \% \\\mathrm{Lq} \text {, average length of the queue } & 1.63 \\\mathrm{~W} \text {, average time in the system } & 0.33 \\\mathrm{~L} \text {, average number of customers in the system } & 2.33 \\\mathrm{Wq}, \text { average time in the queue } & 0.23 \\\text { Utilization factor of the system } & 70 \% \\\hline\end{array}

-Refer to the table.What is the probability that the service facility will be idle?


Definitions:

Collusion

An agreement between parties, often secretly, to limit open competition by deceiving or defrauding others of their legal rights, or to obtain an objective forbidden by law typically by defrauding or gaining an unfair market advantage.

Fraudulent

Deliberately deceitful behavior intended to gain an unfair or unlawful advantage, which can encompass a wide range of activities including false representation and falsification of documents.

Deceitful

Characterized by dishonesty or manipulation to obscure the truth for personal or professional gain.

Conflicts

Situations where perceived or actual incompatible interests, beliefs, or actions lead to opposition or discord between individuals or groups.

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