Given the Following Activities, Their Durations, and the Predecessor Relationships $\begin{array}{c}\text { Activity } \\\text { Description }\end{array}$

question 74

Essay

Given the following activities, their durations, and the predecessor relationships, construct the network flow diagram and answer the questions that follow.

\begin{tabular}{|c|c|c|c|c|}
\hline $\begin{array}{c}\text { Activity } \\\text { Description }\end{array}$ & $\begin{array}{c}\text { Immediate } \\\text { Predecessor(s) }\end{array}$ & $\begin{array}{c}\text { Optimistic } \\\text { (hours) }\end{array}$ & $\begin{array}{c}\text { Most Likely } \\\text { (hours) }\end{array}$ & $\begin{array}{c}\text { Pessimistic } \\\text { (hours) }\end{array}$ \\
\hline $\mathrm{A}$ & - & 7 & 10 & 13 \\
\hline $\mathrm{B}$ & $\mathrm{A}$ & 5 & 11 & 23 \\
\hline $\mathrm{C}$ & $\mathrm{A}$ & 11 & 15 & 19 \\
\hline $\mathrm{D}$ & $\mathrm{B}$ & 4 & 5 & 6 \\
\hline $\mathrm{E}$ & $\mathrm{D}, \mathrm{C}$ & 9 & 11 & 25 \\
\hline $\mathrm{F}$ & $\mathrm{C}$ & 5 & 6 & 7 \\
\hline $\mathrm{G}$ & $\mathrm{F}$ & 5 & 5 & 5 \\
\hline $\mathrm{H}$ & $\mathrm{F}$ & 9 & 11 & 13 \\
\hline $\mathrm{I}$ & $\mathrm{E}, \mathrm{G}, \mathrm{H}$ & 7 & 11 & 15 \\
\hline $\mathrm{J}$ & $\mathrm{I}$ & 4 & 5 & 6 \\
\hline
\end{tabular}

A) What is the expected time for activity E?
B) What is the variance for activity E?
C) What is the critical path based on the calculation of the estimated times?
D) What is the estimated duration of the critical path?
E) What is the estimated variance along the critical path?
F) What is the probability of completion of the project before hour 45?

• A) What is the expected time for activity E?
• B) What is the variance for activity E?
• C) What is the critical path based on the calculation of the estimated times?
• D) What is the estimated duration of the critical path?
• E) What is the estimated variance along the critical path?
• F) What is the probability of completion of the project before hour 45?

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Definitions:

Autonomy

The capacity and right of individuals to make their own choices and govern themselves.

Nonmaleficence

A principle in ethics that requires avoiding actions that cause harm or injury to others, key in medical and healthcare ethics.

Justice

A moral principle regarding fairness and the equitable treatment of all individuals.

Fidelity

The degree to which a device, system, or service accurately reproduces or represents a given condition or datum without distortion or error.