A PERT project is detailed in the table below. Durations are given in days.

A - 23 29 27

B A 46 58 54

C A 22 28 26

D A 30 42 38

E B 23 29 27

F B, C 21 27 25

G C, F 45 63 57

H G 23 29 27

I F, H 28 34 32

J E, I 33 39 37

K F, H, I 24 30 28

a. Draw an activity-on-node network representing this project. (5 points) b. Give the expected duration and variance of each activity in the table. (5 points) c. What is the expected duration of the project? (2 points)

d. What is the variance in the project's duration? (3 points)

e. How many days are needed for the project to be 80% likely to be completed? (5 points)

A sample of the standard table for the normal distribution is provided below

Activity Predecessors Optimistic duration Pessimistic duration Most likely duration Expectation Variance