Question 1[20 marks] Note that all activities are in weeks. Activities Predecessors Optimum Expected Normal Pessimistic Time Variance-1 Variance-2 none none none h 16101 5 4 4 719 15 6 4 5 71 12 16 17 8 20 161 10 14 18 6 12 20 ===LELE p==== b de sd a. Calculate the expected time and variance for each activity b. Draw the network c. Using the expected times, find the critical path and the critical time d. Assume that the times in the table were made at 90% level Using the table, calculate Variance-1, find the average and the standard deviation ii. Find the probability that the critical path will be completed in 40 weeks or less .. Assume that the times in the table were made on the 99% level. 1. Using the table re-calculate the activity variances (1.e. Variance-2) with this assumption, find the average and the standard deviation and ii. Find the probability that the critical path will be completed in 40 weeks or less. f. Briefly explain the differences between the two results above (ie. d) and e(1) above)