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Consider the network described in the table below. Immediate Activity Pessimistic Optimistic Probable Predecessor(s) 15 8 10 IK 9 8 L J 10 5 6 M 3 3 3 N IK.M ON 1 5 O IK, M 10 4 7 P ILN 10 3 00 1. Draw the network diagram and fill out the chart below (by doing the forward and backward path analysis). Late Slack Task Expected Time Variance Early Early Start Finish Late Finish Start Time CE * 1. Draw the network diagram and fill out the chart below (by doing the forward and backward path analysis). Late Slack Task Expected Time Variance Early Start Early Finish Late Finish Start Time K L M N 2. Write the critical path and calculate the expected duration and standard variance of the critical path 3. a. Calculate the probability that the project will be completed in fewer than 30 time units. b. How much time does it need to finish the project by 90% chance? 4. Draw the Gantt Chart for this