A project has four activities (A, B, C, and D) that must be performed sequentially. The probability distributions for the time required to complete each of the activities are as follows. Activity Activity Time (weeks) A B C D 5 average standard deviation 6 7 8 3 5 7 10 12 14 16 18 8 10 Probability 0.20 weeks weeks 0.35 0.30 0.15 0.15 0.60 0.25 0.10 0.25 0.35 0.25 0.05 0.55 (a) Construct a spreadsheet simulation model to estimate the average length of the project (in weeks) and the standard deviation of the project length. (Use at least 1,000 trials. Round you answers to one decimal place.) 0.45 (b) What is the estimated probability that the project will be completed in 35 weeks or less? (Use at least 1,000 trials. Round your answer to three decimal places.) O 55°F Sunny 4 9:28 AM 10/22/2022
A project has four activities (A, B, C, and D) that must be performed sequentially. The probability distributions for the time required to complete each of the activities are as follows. Activity Activity Time (weeks) A B C D 5 average standard deviation 6 7 8 3 5 7 10 12 14 16 18 8 10 Probability 0.20 weeks weeks 0.35 0.30 0.15 0.15 0.60 0.25 0.10 0.25 0.35 0.25 0.05 0.55 (a) Construct a spreadsheet simulation model to estimate the average length of the project (in weeks) and the standard deviation of the project length. (Use at least 1,000 trials. Round you answers to one decimal place.) 0.45 (b) What is the estimated probability that the project will be completed in 35 weeks or less? (Use at least 1,000 trials. Round your answer to three decimal places.) O 55°F Sunny 4 9:28 AM 10/22/2022
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Chapter1: Combinatorial Analysis
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Transcribed Image Text:### Project Activity Analysis
A project consists of four activities (A, B, C, and D) that need to be performed sequentially. The probability distributions for the time required to complete each of the activities are as follows:
#### Table: Activity Time and Probability
| **Activity** | **Activity Time (weeks)** | **Probability** |
|--------------|---------------------------|-----------------|
| A | 5 | 0.20 |
| | 6 | 0.35 |
| | 7 | 0.30 |
| | 8 | 0.15 |
| B | 3 | 0.15 |
| | 5 | 0.60 |
| | 7 | 0.25 |
| C | 10 | 0.10 |
| | 12 | 0.25 |
| | 14 | 0.35 |
| | 16 | 0.25 |
| | 18 | 0.05 |
| D | 8 | 0.55 |
| | 10 | 0.45 |
### Tasks
**(a)** Construct a spreadsheet simulation model to estimate the average length of the project (in weeks) and the standard deviation of the project length. Use the following parameters:
- Conduct at least 1,000 trials.
- Round your answers to one decimal place.
**Average:** ____ weeks
**Standard deviation:** ____ weeks
**(b)** Determine the estimated probability that the project will be completed in 35 weeks or less. Use the following parameters:
- Conduct at least 1,000 trials.
- Round your answer to three decimal places.
**Probability of completion in 35 weeks or less:** ____
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