A small project involves 8 activities and their time estimates are listed in the following table. All durations are in weeks. Activity Immediate OPTIMISTIC MOST PESSIMISTIC Predecessor TIME LIKELY TIME A 4 5 6 B 8 12 16 A 4 5 12 D B 1 3 5 E DA 2 2 2 2 F B 4 5 6 G C. E. F 10 14 18 H G 18 20 34 a. Draw the project network and find the critical path. b. Find the total slack and free slack for non-critical activities c. What is the probability that the project will be completed: 1. at least 3 weeks earlier than expected time ii. no more than 3 weeks later than the expected time d. If the project due date is 60 weeks, what is the probability of not meeting the due date