Question: B). Scenario: Sunset Construction Ltd. is planning a project and needs to perform scheduling and critical path analysis. The table below lists the project activities

B). Scenario: Sunset Construction Ltd. is planning a project and needs to perform scheduling and critical path analysis. The table below lists the project activities along with their time estimates, immediate predecessors, standard deviations, and variances. Table 4-1\begin{tabular}{|l|l|l|l|l|l|l|}\hline Activity & Immediate Predecessor & Optimistic & Most Likely & Pessimistic & Standard Deviation & Variance \\\hline A & & 2 & 4 & 6 & 0.667 & 0.444\\\hline B & & 6 & 9 & 12 & 1.0 & 1.0\\\hline C & A & 3 & 6 & 9 & 1.0 & 1.0\\\hline D & A & 4 & 4 & 4 & 0.0 & 0.0\\\hline E & B, C & 2 & 5 & 8 & 1.0 & 1.0\\\hline \end{tabular} A) What are the expected times for \(\mathrm{A},\mathrm{B},\mathrm{C},\mathrm{D}\), and E ? B) Which activities are on the critical path? C) What is the variance of the critical path? D) If a normal distribution were used to find the probability of finishing this project in 17 weeks or fewer, what duration and standard deviation would be used?

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