Question: A project has activities, precedence relationships, and time estimates in weeks as shown in the following table. begin{tabular}{|c|c|c|c|c|} hline Activity & Immediate Predecessor Activities &

 A project has activities, precedence relationships, and time estimates in weeks

as shown in the following table. \begin{tabular}{|c|c|c|c|c|} \hline Activity & Immediate Predecessor

A project has activities, precedence relationships, and time estimates in weeks as shown in the following table. \begin{tabular}{|c|c|c|c|c|} \hline Activity & Immediate Predecessor Activities & Optimistic Time (o) & Most Likely Time (tm) & Pessimistic Time (tp) \\ \hline A & & 14 & 19 & 24 \\ \hline B & A & 7 & 9 & 11 \\ \hline C & B & 24 & 29 & 39 \\ \hline D & B & 14 & 14 & 14 \\ \hline E & E & 21 & 24 & 26 \\ \hline F & D & 14 & 19 & 21 \\ \hline G & F & 19 & 19 & 21 \\ \hline \end{tabular} (a) Compute the expected time and variance for each activity. (Round your expected time to two decimal places and your variance to four decimal places.) \begin{tabular}{|c|c|c|} \hline Activity & Activity Expected Time (weeks) & Activity Variance \\ \hline A & & \\ \hline B & & \\ \hline C & & \\ \hline D & & \\ \hline E & & \\ \hline F & & \\ \hline \end{tabular} (b) Determine the critical path of the project. (Enter your answers as a comma-separated list.) Determine the expected duration (in weeks) of the project. (Round your answer to two decimal places.) weeks (c) Based only on the critical path, what is the probability that the project will take longer than 53 weeks to complete? (Round your answer to four decimal places.)

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