• You and several friends are about to prepare a lasagna dinner. The tasks to be performed, their immediate predecessors, and their estimated durations are as follows: Task Task Description Predecessors Time estimate (in minutes) te σ2 to tm tp A Slice the mozzarella -- 4 5 6 B Mix eggs and ricotta cheese -- 5 6 8 C Cut up onions and mushrooms _ 6 7 9 D Cook the tomato sauce C 20 23 24 E Boil large quantity of water _ 15 15 15 F Cook and drain the noodles E 12 13 16 G Assemble all the ingredients B,D,F 10 13 14 H Preheat the oven _ 14 15 15 I Bake the lasagna H, I 30 32 35 Draw the network diagram for this project. Clearly label the earliest start, earliest finish, latest start and latest finish for each activity. Specify the critical path and the critical activities & state the expected C.P. duration. State the variance of the critical path. What is the probability that the dinner will be ready within 3 minutes early?