You are provided with the following information for a project, with activity durations given in days: IMMEDIATE OPTIMISTIC MOST LIKELY PESSIMISTIC ACTIVITY PREDECESSOR TIME (a) TIME (m) TIME (b) A U w B N J A a 11 D A, B UI E B, C 10 C A G E, F 10 12 H D W N E, G, H 10 13 16 G, I, F 12 15 17 K H 11 14 O Construct a project network. a) Determine the expected times and variances for each activity. b) Determine the critical path after you have found ES, EF, LS, LF and Slack. State the path and time the project is expected to take