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:

Predictor Of Divorce

Factors or behaviors scientifically shown to increase the likelihood of a marriage ending in divorce.

John Gottman

A psychologist recognized for his work on marital stability and divorce prediction through extensive research on couples' interactions.

Invulnerable Responses

Ignoring, laughing, or being silent in response to a hurtful message.

Acquiescent

Displaying a behavior or attitude of agreeing or assenting passively, often without personal protest or the desire to give one's own opinion.