A small project is composed of time activities whose time estimates are given below.

ACTIVITY

OPTIMISTIC TIME

MOSTLY LIKELY TIME

PESSIMISTIC TIME

A

2

2

8

B

2

5

8

C

4

4

10

D

2

2

2

E

2

5

14

F

3

6

15

G

2

5

8

H

5

8

11

I

3

6

15

Activities A, B and C can start simultaneously., Activity D follows activity A while E follows B, Activities D and E are followed by activity G while F is dependent on C, H depends on D and E while I depends on F and G.

1) Find the expected duration and variance of each activity.

2) Calculate the slack for each event.

3) What is the expected project duration? Determine the variance and standard deviation of the project.

4) If the project due date is 28 days, what is the probability of not meeting the due date.

5) What should be the project duration, for the probability of completion of 95 percent?