Question 2 (10 marks) A project involves 10 tasks that must be completed. The table below summarises the tasks, their precedence, and estimates of the number of days need to complete them under different circumstances. Activity Optimistic Estimate (a) Pessimistic Estimate (b) 22 Immediate predecessor a 10 b 20 d a Most Likely Estimate (m) 22 20 10 14 8 14 4 12 16 8 e 20 4 2 8 8 4 2 6 2 16 32 20 20 4 f b, c b, c b, c 16 h i j 38 14 g, h d, e Draw up a table including expected time and variance for each activity, and then construct the project network. (6 marks) b. Find the critical path. (1 mark) c. Determine the expected completion time for the project. (1 mark) d. Calculate the probability that the project will be completed within 50 days. (2 marks)