Jim Sweet, a project manager at Clover Health in San Francisco, is assigned to the team that is developing the process for implementing a new database management system at corporate headquarters. The corporate planning group in Waltham, Massachusetts has contacted him and has asked how confident the design group is about completing the project in 60 days. He has developed these estimated time durations in days for the project: Immediate Predecessor Optimistic Most Pessimistic Likely Time (t) Time (to) Activity Time (to) Activities A 10 12 15 B 6 10 14 C 12 14 22 D A 7 10 16 E B 5 6 8 F C.E 12 13 10 12 G B 14 16 D 18 21 24 1 D 10 15 20 F.G.H 8 10 14 1. Compute the expected time and variance for each activity. 2. Determine the critical path and the expected duration of the project. 3. What is the probability that the project will take longer than 58 days to complete? 4. Which path in the project network offers the greatest risk of overrunning a new deadline of 56 days