Consider the Tasks,durations,and Predecessor Relationships in the Following Network AWhat Is the Expected Time for Activity B?
B

question 86

Essay

Consider the tasks,durations,and predecessor relationships in the following network.Draw the network and answer the questions that follow.
$$\begin{array} { | c | c | c | c | c | } \hline \begin{array} { c } \text { Activity } \\\text { Description }\end{array} & \begin{array} { c } \text { Immediate } \\\text { Predecessor(s) }\end{array} & \begin{array} { c } \text { Optimistic } \\\text { (Weeks) }\end{array} & \begin{array} { c } \text { Most Likely } \\\text { (Weeks) }\end{array} & \begin{array} { c } \text { Pessimistic } \\\text { (Weeks) }\end{array} \\\hline \text { A } & - \cdots & 4 & 7 & 10 \\\hline \text { B } & \text { A } & 2 & 8 & 20 \\\hline \text { C } & \text { A } & 8 & 12 & 16 \\\hline \text { D } & \text { B } & 1 & 2 & 3 \\\hline \text { E } & \text { D, C } & 6 & 8 & 22 \\\hline \text { F } & \text { C } & 2 & 3 & 4 \\\hline \text { G } & \text { F } & 2 & 2 & 2 \\\hline \text { H } & \text { F } & 6 & 8 & 10 \\\hline \text { I } & \text { E, G,H } & 4 & 8 & 12 \\\hline \text { J } & \text { I } & 1 & 2 & 3 \\\hline\end{array}$$
a.What is the expected time for activity B?
b.What is the variance for activity B?
c.Based on the calculation of estimated times,what is the critical path?
d.What is the estimated time of the critical path?
e.What is the activity variance along the critical path?
f.What is the probability of completion of the project before week 42? You will need to refer to a standard normal table to answer the question.

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