Project Management (35 Points) For a particular project, activities required to complete the project, the precedence relationships for the activities, and activity time estimates, as shown in the following table: Activity Activity Predecessor Time Estimates (Weeks) a m b A - 6 7 8 B - 6 12 18 C - 3 5 7 D B, C 6 9 18 E A, B 5 8 17 F E, D 10 15 20 G E, F 5 6 13 Draw the network diagram and show all calculations for ES-EF-LS-LF and Slack. You will have to find the expected time and variance for each activity. Identify the critical path by highlighting and find out the estimated project completion time, E(T) and the standard deviation for the project completion time, s Determine the probability that the project will be completed in 50 weeks or less. What is the probability that the project will take more than 40 week

Activity	Activity Predecesor Predecessor	A	M	B	Expceted Time	Variance	Slack	Critical Activity
A	#NA	6	7	8	7	0.111111
B	#NA	6	12	18	12	4
C	#NA	3	5	7	5	0.444444
D	B,C	6	9	18	10	4
E	A,B	5	8	17	9	4
F	E,D	10	15	20	15	2.777778
G	E,F	5	6	13	7	1.777778