A project is represented by the network as shown below and has the following data

Task: A B C D E F G H I Least time(b): 5 18 26 16 15 6 7 7 3 Greatest time(a) : 10 22 40 20 25 12 12 9 5 Most likely time(m): 15 20 33 18 20 9 10 8 4 Determine the following

a) Expected task time and their variance b) What is the probability that the project will be completed i) 3 weeks earlier than expected ii) If the project due is 45 weeks. What is the probability of meeting the due date

F I B E A D H (5) 2 4