Please answer all correctly a-h

Kelle Carpet installs carpet in commercial offices. Peter Kelle has been very concerned with the amount of time it took to complete several recent jobs. Some of his workers are very unreliable. A list of activities and their optimistic completion time, the most likely completion time, and the pessimistic completion time (in days) for a new contract are given in the following table: Activity Optimistic time Most likely time Pessimistic time Immediate (a) (m) (b) predecessors A 1 4 7 B 2 6 7 C 3 3 6 B D 6 13 14 A 6 12 A, C 8 16 B 5 6 E, F a) Draw the AON networks for these activities (Do not calculate the completion time at this point, just draw the AON network). b) Filling out following table by calculating the expected time and variance for activities C, D and E. Activity Expected time Variance A 4 1 B 5.5 0.69 C D 9 2.78 4.5 0.69 c) From part b, using the expected time as the duration for each activity, determine the earliest start time (ES), earliest finish time (EF), latest start time (LS), latest finish time (LF), and slack for activities B, D, E, and G. Then, complete the following table. Activity ES EF LS LF Slack time A 0.0 4.0 4.0 8.0 4.0 B C 5.5 9.0 5.5 9.0 0 D E F 5.5 14.5 6.5 15.5 1.0 G d) Determine the total project completion time and the critical path or paths for the project. e) Compute the total project variance and project standard deviation. f) What is the probability that the project due date is between 18 and 21 days? g) What is the due date that yield a 40% chance of completion? h) What is the probability that the project will be completed 3 days before its expected completi date