Activity Predecessors

Optimistic

Time $($a$)$ Most likely

Time $($m$)$ Pessimistic

Time $($b$)$

A $-------345$

B A $234$

C A $456$

D B $444$

E B $256$

F C$,$ D$,$ E $245$

G F $246$

H F $467$

I G$,$ H $468$

NB: Time periods are in years

a$.$ Draw the activity network for this problem $($either AON or AOA$).$

b$.$ Determine the expected time and variance for each activity.

c$.$ Show the activity schedule $($ES$,$ EF$,$ LS$,$ LF$)$ as well as the slack. You may work in the network or show the results in a table.

d$.$ Determine the state of the critical path for this project. This must be based on your work at C$.,$ and not by inspection.

e$.$ What is the expected time, variance and standard deviation of the project?

f$.$ What is the probability that the project will be finished within $30$ day