Consider the network described in the table below. Summarize your answers in the table below. Show all your work otherwise no credit given. Immediate Activity Predecessor($) Pessimistic Probable Optimistic J 15 10 8 K 9 8 7 L J 10 6 5 M J 3 3 3 N KM 9 5 1 O KM 10 7 4 P LN 10 8 3 a. Calculate the expected duration of each activity. b. Calculate the expected duration and variance of the critical path. c. Calculate the probability that the project will be completed in fewer than 30 time units. Late Finish Expected time Activity Variance Late Start Slack Early Task Early Start Finish J K L M N 0 P Project Expected duration Project Std. dev Network (show your work on the network)