PERT network. The major activities and time estimate a, m, and b for each activity are carefully computed and given as follows. A B PE D F G H Activities Predecessors A A A B, C D E, F, G Optimistic Time (a) 2 10 8 10 7 9 3 5 Estimates Most Likely Time (m) 4 12 9 15 7.5 9 3.5 5 Pessimistic Time (b) 12 26 10 20 11 9 7 5 1) Compute the Expected Time and Variance for each activity. 2) Draw the PERT diagram (AON) for the project. And compute ES, EF, LS, LF, Project completion time, and Slack time. 4) Identify the critical path and find its length and variance. 5) What is the probability that the project will be completed within 30 days?