Activity 1 (20 points)

To complete the wing assembly for an experimental aircraft, Jim Gilbert has laid out the seven major activities involved. These activities have been labeled A through G in the following able, which also shows their estimated completion times (in weeks) and immediate predecessors.

Calculate the expected time and variance for each activity.

Based on the calculation of estimated times, determine ES, EF, LS, LF, and slack for each activity.

Determine the total project completion time and the critical path for the project.

Compute the total project variance and project standard deviation.

What is the probability that the project will be finished in 21 weeks or less?

Find the probability that the project will take more than 18 weeks to complete.

What is the probability that the project due date is between 18 and 20 weeks?

What is the due date that yield a 82% chance of completion?

\begin{tabular}{|c|c|c|c|c|} \hline ACTIVITY & a & m & b & IMMEDIATEPREDECESSORS \\ \hline A & 1 & 2 & 3 & - \\ \hline B & 2 & 3 & 4 & - \\ \hline C & 4 & 5 & 6 & A \\ \hline D & 8 & 9 & 10 & B \\ \hline E & 2 & 5 & 8 & C, D \\ \hline F & 4 & 5 & 6 & D \\ \hline G & 1 & 2 & 3 & E \\ \hline \end{tabular}