Problem 5 The complete diagram for the following PERT problem is shown below. Activity Predecessors Optimistic Most Likely Pessimistic Expected Time (Weeks) A --- 4 7 10 7 B A 2 8 20 9 C A 8 12 16 12 D B 1 2 3 2 E D, C 6 8 22 10 F C 2 3 4 3 G F 2 2 2 2 H F 6 8 10 8 I E, G, H 4 8 12 8 J I 1 2 3 2 a. Determine the critical path and write the activities on the critical pathe and the completion time here. b. Compute the project standard deviation and write its value here. c. Determine the probabilitythat the project can be completed in the following time periods. i. Less than 42 weeks ii. Greater than 35 weeks iii. Between 42 to 44 weeks iii. Greater than 40 weeks