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A Network Consists of the Following List A Draw the Network Diagram

question 75

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A network consists of the following list. Times are given in weeks.
 Activity  Preceding  Optimistic  Probable  Pessimistic  A 51114 B 339C61014DA,B357EB4611FC6813GD,E246HF339\begin{array}{|c|c|c|c|c|}\hline\text { Activity } & \text { Preceding } & \text { Optimistic } & \text { Probable } & \text { Pessimistic } \\\hline \text { A } & -- & 5 & 11 & 14 \\\hline \text { B } & - & 3 & 3 & 9 \\\hline \mathrm{C} & -- & 6 & 10 & 14 \\\hline \mathrm{D} & \mathrm{A}, \mathrm{B} & 3 & 5 & 7 \\\hline \mathrm{E} & \mathrm{B} & 4 & 6 & 11 \\\hline \mathrm{F} & \mathrm{C} & 6 & 8 & 13 \\\hline \mathrm{G} & \mathrm{D}, \mathrm{E} & 2 & 4 & 6 \\\hline \mathrm{H} & \mathrm{F} & 3 & 3 & 9 \\\hline\end{array}
a. Draw the network diagram.
b. Calculate the expected duration and variance of each activity.
c. Calculate the expected duration and variance of the critical path.
d. Calculate the probability that the project will be completed in less than 28 weeks.


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