Ali is working on the project. By applying the techniques, he learned in his quantitative methods class he has identified 7 tasks to be carried out to for the completion of project, with the following time estimates (See Table 3). Activity Pessimistic Table 3 Optimistic Most Likely 2 3 2 3 4 4 1 2 3 1-2 (A) 1-3 (B) 1-4 (C) 2-5 (D) 3-5 (E) 4-6 (F) 5-6 (G) 1 2 3 2 5 14 5 8 2 3 6 15 (1) Draw the project network, and determine the critical path. (ii) Find the expected duration and variance for each activity. What is the expected project length? (iii) Calculate the variance and standard deviation of the project length. (iv) Ali, also wish to estimate the probability that the project will be completed (a) At least 4 weeks earlier than expected? (b) No more than 4 weeks later than expected time? so that he can make his decision when to start his project. (Note: To maintain academic integrity the data given in the tables will vary)