2. Consider a project consisting of seven activities (A, B, ..., G) with the following precedence relations and time estimates: Activity A B C D E F G Predecessor A A B CD EF Optimistic time (a) 2 6 553 3 1 Most probable time (m) 5 9 14 8 6 124 Pessimistic time (b) 8 12 17 11 9 217 a) Draw the project network designating the activities by arcs and event by nodes. b) Determine the expected duration and variance of each activity. c) What is the expected length of the project and its variance? d) Compute the probabilities of completing the project (1) 3 days earlier than expected, (2) no more than 5 days later than expected