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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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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