A project has been defined to contain the following twelve activities, along with their precedence relationships, that comprise this project. Due to many reasons, including labor and equipment unreliability, the times of these activities are uncertain. Hence, three-time estimates are determined for each activity: an optimistic time (a), a most likely time (m), and a pessimistic time (b). Based on the assumption that the activity times follow a beta distribution, the partial data about the expected activity times and the variances are given in the table below: Optimistic Pessimistic Immediate Time i Time cApacian Activity Activity Time . Predecessor(s) (Days) Variance ?? | 12| ___-___ a) Draw the project network diagram and determine each activity's ES, EF, LS, LF, and slack. b) Determine the expected project completion time. Determine the critical path(s) and show it (them) on the network ran . ik a an = ' \"in e . cant 4/ ~