7. The Business Students Association (BSA) is planning the next fundraising project. For this project, they have established the following activities, precedence relationships, and time estimates in days: Immediate Optimistic Activity Predecessor(s) (a) Most Likely (m) Pessimistic (b) A 5 7 8 BC 6 8 12 3 4 5 D A 11 17 25 E B F C, E G D H F I G, H J G 834584 10 12 4 5 4 8 9 5 f 7 9 11 17 4 4 a. Draw the network diagram b. Calculate the expected time for each activity. c. Calculate the variance of each activity d. Based on the calculation of estimated times, what is the critical path? e. What is the estimated time of the critical path? f. What is the activity variance along the critical path? g. What is the probability of completion of the project within 47 days? (30 Marks)