1. (10 marks) Support that renovating faculty and administration offices in the T Building here at Langara College consists of nine major activities. The activities, theirs immediate predecessors, and the activity time estimates (in days) for this project are shown below. 6 Immediate Optimistic Most Likely Activity Predecessor Time Time A 3 5 B 2 4 c AB 5 D AB 7 9 E B 2 4 F 1 2 G D 5 8 H DF 6 E, G, H 3 4 Pessimistic Time 6 6 7 10 6 3 10 10 8 5 (a) Find the expected times and variances for all the activities. Put your answers in the two empty columns of the table below. You may use a scientific calculator, but keep all numbers to two decimal places. 2 Note: You may use these two formulas: t = a + m + b and g? = (**) 6 Activity Activity Activity Expected Time Variance A B D E F G H (b) Develop the project network and find the critical path of the project? (c) What is the expected time to complete the project? () What is the probability that the project can be completed in 25 days or less