A small project involves 7 activities and their time estimates are listed in the following table. All durations are in weeks Activity OPTIMISTIC TIME MOST LIKELY PESSIMISTIC TIME 1-2 1 1 7 1-3 1 4 7 1-4 2 2 8 2-5 1 1 1 3-5 2 5 14 4-6 2 5 8 5-6 3 6 15 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. no more than 4 weeks later than the expected time 2. at least 4 weeks earlier than expected time d. If the project due date is 19 weeks, what is the probability of not meeting the due date Given: Z 0.5 0.67 1.00 1.33 2.0 Probability 0.3085 0.2514 0.1587 0.0918 0.9228