Answer only part B and C

A small project involves 7 activities and their time estimates are listed in the following table. Activity OPTIMISTIC TIME MOST LIKELY PESSIMISTIC TIME 1 1 7 1-3 1 4. 7 1-4 2. 2 8 1 1 1 2-5 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 0.2514 0.1587 Probability 0.3085 [1 +2 +4 + 2 =9] 0.0918 0.9228