Question: #2) Data for a project are given below: NOTE : Include 3 decimals in your calculations. Activity Immediate Predecessor(s) Time Estimates (weeks) Optimistic Most Likely

#2) Data for a project are given below:

NOTE: Include 3 decimals in your calculations.

Activity

Immediate Predecessor(s)

Time Estimates (weeks)

Optimistic

Most Likely

Pessimistic

Expected Time

Variance

A

-

5

7

8

6.833

0.250

B

-

6

8

12

8.333

1.000

C

-

3

4

5

4.000

0.111

D

A

11

17

25

17.333

5.444

E

B

8

10

12

10.000

0.444

F

C,E

3

4

5

4.000

0.111

G

D

4

8

9

7.500

0.694

H

F

5

7

9

7.000

0.444

I

G,H

8

11

17

11.500

2.250

  1. Perform the necessary calculations and determine the expected completion time for the project. (3 points)
  2. What is the joint probability of completing the entire project in 42 weeks or less. Perform the necessary calculations and complete entries in the table below. (7 points)

Path

Probability (length 42 weeks)

Joint probability of completing the project in less than 42 weeks or less = _________

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