Consider the project information in the following table. (time in days)

Activity	Predecessor	Optimistic duration	Normal duration	Pessimistic duration
A		5	6	7
B		8	9	10
C		1	3	5
D	C	4	6	8
E	A	2	3	4
F	B, D	5	7	8
G	C	6	8	9

a) Calculate the expected time, ES, EF, LS, LF, slack time and variance for each activity (10 pts)

b) What is the expected completion time of the project? Explain. (5 pts)

c) Estimate the probability of finishing the project in 15 days or less (showing calculation)(5 pts)

d) What is the project completion time so that there is a 95% probability that the project will be finished by this time?