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Consider the network described in the table below. Activity Immediate Pessimistic Predecessor(s) Optimistic Probable 15 8 10 IK 9 7 8 J 10 5 6 M M J 3 3 3 N KM 9 1 5 O KM 10 4 7 P L.N 10 3 8 8 1. Draw the network diagram and fill out the chart below (by doing the forward and backward path analysis). Task Expected Early Variance Time Start Early Finish Late Start Late Finish Slack Time J K M M N O P IN | IN O P 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 32 time units. b) How much time does it need to finish the project by 96% chance? 4. Draw the Gantt Chart for this