Thabo Mbeki president of Mbeki construction, has developed the task, durations and predecessor relat

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Thabo Mbeki president of Mbeki construction, has developed the task, durations and predecessor relationship in the following table for building new models. Draw the AON network and answer the questions that follow.

Time estimates (In weeks)

Activity

Immediate Predecessor(s)

Optimistic

Most likely

pessimistic

A

4

8

10

B

A

2

8

24

C

A

8

12

16

D

A

4

6

10

E

B

1

2

3

F

E,C

6

8

20

G

E,C

2

3

4

H

F

2

2

2

I

F

6

6

6

J

D,G,H

4

6

12

K

I,J

2

2

3

a. What is the expected (estimate) time for activity C?

b. What is the variance for activity C?

c. Based on the calculations of estimated times, hat is the critical path?

d. What is the activity variance along the critical path?

e. What is the probability of completion of the project before week 36?

Please answer d and e only. Thanks

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