Problem #3 - PERT Diagram (20 points) Given the PERT diagram below, complete the following: a. Complete the PERT diagram by computing the average activity duration, standard deviation, early start and early finish times. (5 points) b. Calculate the probability of completing the first critical path (A-B-C-D-H) within 80 days. (5 points) c. Calculate the probability of completing the second critical (A-E-F-G-H) path within 80 days. (5 points) d. Calculate the probability of completing the entire project within 80 days. (5 points) * Assume the first activity starts at day 0, round up to the nearest 3rd digit for # of standard deviations from the mean. Activity B Activity D Activity C 10/13/22 9/18/33 14/23/32 Activity A 2/5/8 Activity H 7/10/19 Activity E 14/23/44 Activity F 15/21/51 Activity G 14/26/50 Critical Path 1 (A-B-C-D-H) Critical Path 2 (A-E-F-G-H) Variance Standard Deviation Mean Duration Probability Project Level Probability