Blue Lagoon is a contractor that installs residential swimming pools, projects that consist of nine major activities. The activities, their immediate predecessors, and the activity time estimates (in days) are shown. Activity A Immediate Predecessor Optimistic Most Probable 3 5 Pessimistic 6 B 2 4 6 C A, B 4 5 6 D A, B 8 10 11 E B 2 4 6 F C 1 2 3 G D 6 9 11 H D, F 7 9 11 I E, G, H 3 4 5 (a) What are the critical activities? (Enter your answers as a comma-separated list.) A.D.H.I (b) What is the expected time (in days) to complete the project? (Round your answer to two decimal places.) 27.66 You may have rounded in the wrong direction. days (c) Based only on the critical path, what is the estimated probability that the project can be completed in 27 or fewer days? (Round your answer to four decimal places.) 0.2603

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Blue Lagoon is a contractor that installs residential swimming pools, projects that consist of nine major activities. The activities, their immediate predecessors, and the activity time estimates (in days) are shown.
Activity
A
Immediate Predecessor
Optimistic Most Probable
3
5
Pessimistic
6
B
2
4
6
C
A, B
4
5
6
D
A, B
8
10
11
E
B
2
4
6
F
C
1
2
3
G
D
6
9
11
H
D, F
7
9
11
I
E, G, H
3
4
5
(a) What are the critical activities? (Enter your answers as a comma-separated list.)
A.D.H.I
(b) What is the expected time (in days) to complete the project? (Round your answer to two decimal places.)
27.66
You may have rounded in the wrong direction. days
(c) Based only on the critical path, what is the estimated probability that the project can be completed in 27 or fewer days? (Round your answer to four decimal places.)
0.2603
Transcribed Image Text:Blue Lagoon is a contractor that installs residential swimming pools, projects that consist of nine major activities. The activities, their immediate predecessors, and the activity time estimates (in days) are shown. Activity A Immediate Predecessor Optimistic Most Probable 3 5 Pessimistic 6 B 2 4 6 C A, B 4 5 6 D A, B 8 10 11 E B 2 4 6 F C 1 2 3 G D 6 9 11 H D, F 7 9 11 I E, G, H 3 4 5 (a) What are the critical activities? (Enter your answers as a comma-separated list.) A.D.H.I (b) What is the expected time (in days) to complete the project? (Round your answer to two decimal places.) 27.66 You may have rounded in the wrong direction. days (c) Based only on the critical path, what is the estimated probability that the project can be completed in 27 or fewer days? (Round your answer to four decimal places.) 0.2603
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