Consider the following project network. The numbers (in days) on the arcs represent the set (a,m,b). Start node is 1 and end node is 6. Write down the mean and variance of the activity times on top of the arcs using the network below. Identify the critical path and then compute the mean and variance of the project completion time. If a customer wants the project completed in 42 days, what is the probability of that happening? What completion time should be offered to the customer to be 99% sure of being done by then? (0, 3, 12) (2,5,8) (1, 7, 13) (4,16,28) 5 6 (2, 2, 2) (3,3,9)