Question: (please do it in microsoft word document , take a pic of your work in MICROSOFT word and uploaded here. DO NOT TAKE A PIC

(please do it in microsoft word document , take a pic of your work in MICROSOFT word and uploaded here. DO NOT TAKE A PIC IN PAPER PLASE).

McGee Carpet and Trim installs carpet in commercial offices. Andrea McGee has been very concerned with the amount of time it took to complete several recent jobs. Some of her workers are very unreliable. A list of activities and their optimistic completion time, the most likely completion time, and the pessimistic completion time (all in days) for a new contract are given in the following table:

Activity

Time (Days)

Immediate Predecessors

a (optimistic)

m (most likely)

b (pessimistic)

A

3

6

8

-

B

2

4

4

-

C

1

2

3

-

D

6

7

8

C

E

2

4

6

B, D

F

6

10

14

A, E

G

1

2

4

A, E

H

3

6

9

F

I

10

11

12

G

J

14

16

20

C

K

2

8

10

H, I

a) What is the standard deviation for activity D?

b} Determine the expected completion time and variance for each activity. c) Determine the total project completion time and the critical path for the project. d) What is the probability that the project duration will not be more than 39 days?

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