Question: Activity durations (in weeks) for a project are given below: Activity Precedence Optimistic time Most likely time Pessimistic time Expected time Variance A - 6

Activity durations (in weeks) for a project are given below:

Activity

Precedence

Optimistic

time

Most likely time

Pessimistic

time

Expected time

Variance

A

-

6

7

14

8.00

1.78

B

-

8

10

12

10.00

0.44

C

-

2

3

4

3.00

0.11

D

A

6

7

8

7.00

0.11

E

B, C

5

5.5

9

6.00

0.44

F

B, C

5

7

9

7.00

0.44

G

D, E

4

6

8

6.00

0.44

H

F

2.5

3

3.5

3.00

0.03

What is the probability that the project will finish 1 week early? Perform the necessary calculations and complete entries in the table below.

NOTE: Some rows in table below may be blank.

Path

Probability finishing the project 1 week early

Joint probability of completing the project 1 week early = _________

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