Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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Question
Using the following project information
Activity
|
Optimistic Time
Estimate(weeks) |
Most Likely Time
Estimates (weeks) |
Pessimistic Time
Estimates (weeks) |
Immediate
Predecessor(s) |
||||
---|---|---|---|---|---|---|---|---|
A
|
2 | 3 | 5 | none | ||||
B
|
2.6 | 4 | 5 | A | ||||
C
|
5 | 7 | 8 | A | ||||
D
|
3 | 5 | 7 | B, C | ||||
E
|
4 | 7 | 14 | B, C | ||||
F
|
2 | 5 | 8 | D | ||||
G
|
4 | 5 | 6 | E | ||||
H
|
6 | 6 | 7 | F | ||||
I
|
4 | 7 | 10 | G | ||||
J
|
2 | 3 | 3 | H, I |
The critical path is A-C-E-G-I-J.
Activity
|
A
|
B
|
C
|
D
|
E
|
F
|
G
|
H
|
I
|
J
|
---|---|---|---|---|---|---|---|---|---|---|
Variance
|
0.25 | 0.16 | 0.25 | 0.44 | 2.78 | 1.00 | 0.11 | 0.03 | 1.00 | 0.03 |
(a) Calculate the probability that the project will be completed in 31 weeks. (Round your answer to 4 decimal places, e.g. 1.7945.)
P(project ≤ 31) = enter a probability
(b) Calculate the probability that the project will be completed in 35 weeks. (Round your answer to 4 decimal places, e.g. 1.7945.)
P(project ≤ 35) = enter a probability
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