The estimated times (in weeks) and immediate pre-decessors for the activities in a project are give Weeks Immediate Activity Predecessors a m b A 10 11 10 16 10 11 8 11 (a) Calculate the expected time and variance for each activity. (b) What is the expected completion time of the critical path? What is the expected completion tim (c) What is the variance of the critical path? What is the variance of the other path in the network? (d) if the time to complete path A-C is normally distributed, what is the probability that this path w (e) If the time to complete path B-D is normally distributed, what is the probability that this path w (f) Explain why the probability that the critical path will be finished in 22 weeks or less is not neces A. 10 WEEKS 10 WEEKS A C 10 WEEKS 8 WEEKS Project End B D B. The critical path is AC and expected completion time is 20 weeks. The expected completion time o C. The variance of the critical path AC is the sum of the variances of activities A and C. 0.1111 + 0.1111=0.2222 0.1111 The variance of the other path BD is the sum of the variances of activities B and D. 4+1=5 The variance of the path of the other path BD is 5 weeks D. The expected completion time of critical path AC is 20 weeks with a variance of 0.22 weeks. The st 0 =v0.22 weeks