a) Calculate the expected time and variance for each activity.

b) Use expected time of each activity from part and determine ES, EF, LS, LF, and slack for each activity.

c) Determine the total project completion time and the critical path for the project.

d) Compute the total project variance and project standard deviation.

e) What is the probability that the project will be finished in 38 days or less?

f) Find the probability that the project will take more than 48 days to complete.

g) What is the probability that the project due date is between 40 and 44 days?

h) What is the due date that yield a 75% chance of completion?

i) If activities H was not necessary, what impact would this have on the critical path and the number of weeks needed to complete the project? Explain your answer.

Activity Optimistic time (a) Most likely time (m) Pessimistic time (b) Immediate predecessors

A 10 22 24 -

B 20 20 22 -

C 4 10 18 -

D 4 14 32 A

E 6 8 20 B, C

F 8 12 20 B, C

G 4 4 4 B, C

H 2 10 16 C

I 10 16 38 G, H

j 4 8 14 D, E