Question 3(40 Points): A project has been defined to contain the following 10 activities along with their required times for completion. Activity Description Variance Expected Value M11 B C D E Immediate Predecessors None None A B B Optimist- ic 12 6 9 6 18 Most Likely 15 9 12 9 30 Pessi mistic 18 12 15 18 36 F A 9 12 15 Select Technical Staff Site Survey Select Equipment Prepare Designs Bring Utilities to the site Interview applicants and fill positions Purchase the equipment Construct the power plant Develop an information system Install the Equipment Train the staff to run the system G H D 36 40 40 42 42 48 I 6 12 18 J K H.GE F,J,I 3 3 6 6 9 9 a) Calculate the expected time duration of each activity and the variance. (b) Draw the network diagram, determine the critical path and mark in the network using the MOST LIKELY ESTIMATE. What is the total project duration? (c) What is the probability of achieving the project within the deadline of 80 weeks, 90 weeks and 95 weeks? (d) What is the date - the project will finish 100%