What Is the Probability That It Will Take Less Than $\mu$

question 33

Multiple Choice

What is the probability that it will take less than or equal to 0.25 hours to service any call based on the following exponential probability distribution with rate $\mu$ = 5?
$\begin{array}{llcc} \quad\quad\text { Average Service Rate } &\\\hline \text { \(\mu\) =5 } &\text { per hour} &\\\end{array}$

$\begin{array}{cc}\mathrm{T} & \mathrm{P}(\text { service time } \leq \mathrm{T}) \\\hline 0.00 & 0.00 \\0.05 & 0.22 \\0.10 & 0.39 \\0.15 & 0.53 \\0.20 & 0.63 \\0.25 & 0.71 \\0.30 & 0.78 \\0.35 & 0.83 \\0.40 & 0.86 \\0.45 & 0.89 \\0.50 & 0.92 \\0.55 & 0.94 \\0.60 & 0.95 \\0.65 & 0.96\end{array}$

• A) 0.00
• B) 0.71
• C) 0.92
• D) 1.00

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Definitions:

First Processing Department

The initial stage or department in a manufacturing process where raw materials are first transformed or processed.

Units Started And Completed

Refers to the number of units of a product that begin and finish the manufacturing process within a specific time period.

Process Costing

A costing method used for homogenous products, allocating costs based on the processes or departments through which goods are manufactured.

Work in Process Inventory

Inventory that includes materials and labor that are currently in the process of being manufactured into finished goods.