Consider the following PERT time estimates:

Immediate Activity Predecessors a m b A — 2 5 9 B A 1 6 8 C A 3 5 12 D B 2 4 12 E B, C 4 6 8 F B 6 7 8 G D, E 1 2 6 H F, G 4 6 16

a. Draw a network for this project and determine the critical path based on the most likely times by inspection.

b. Assuming that the critical path is the one you identified in part (a), what is the probability that the project will be completed before 28weeks? Before 32 weeks?

c. Assuming that the critical path is the one you identified in part (a), how many weeks are required to complete the project with probability .95?