Math Problem Statement
A) find the expected completion time of the project, equal to its probability
B) what is equal to the standard deviation of the project
C) the probability that the project will be completed in less than 190 weeks (inclusive)
D) the probability that the project will last more than 170 weeks (inclusive)
E) which will be equal to the probability that the project will not be completed in the range (135; 200)
F) find reasonable deadlines for completion of the project according to 3α
G) if the probability of completion of the project is 0.65,
Then how long will the project be completed
H) find the critical path
Solution
To answer these questions related to project management and network analysis (typically used in PERT/CPM methods), I need some additional information:
- Activity Details: The duration of each activity, along with the optimistic time (O), most likely time (M), and pessimistic time (P) if using PERT.
- Precedence Relationships: The sequence in which the activities must be performed, indicating which activities depend on the completion of others.
- Critical Path Information: If the critical path is already calculated, you can provide it. If not, I'll need the network diagram or the relationships between activities.
Once you provide these details, I can calculate:
- The expected project duration.
- The standard deviation of the project.
- The probabilities related to completion times.
- Reasonable deadlines using the 3σ rule.
- The critical path.
Feel free to upload any charts or provide the necessary details in text form.
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Math Problem Analysis
Mathematical Concepts
Probability Theory
Project Management
PERT/CPM Methods
Formulas
Expected Value and Variance in Probability
PERT Formula for Expected Time
Theorems
Central Limit Theorem (related to project durations)
Suitable Grade Level
Graduate Level
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