The following information relates to a project (task times are in weeks). Use the information to solve for the critical path and then to determine the probability that the project could be completed within 36 weeks. Task A B C D E F Preceding Tasks to 4 4 2 8 3 6 None A A B C D, E tm 6 7 7 13 9 8 tp 8 10 12 18 15 10 C Click the icon to view the table of standard normal probabilities. The probability that the project is completed within 36 weeks is (Enter your response rounded to four decimal places.)

Practical Management Science
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Author:WINSTON, Wayne L.
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Chapter2: Introduction To Spreadsheet Modeling
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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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This image shows a "Table of Standard Normal Probabilities" used in statistics to find the probability of a standard normal random variable Z being less than or equal to a given value.

### Explanation:
- **Rows and Columns**: The table is organized with Z-values listed along the leftmost column and additional decimal points along the topmost row.
- **Values**: Each cell in the table provides the cumulative probability for a specific Z-value. To find P(Z ≤ z), you identify the appropriate row based on the Z-value's first decimal place and use the column for the second decimal place.

For example:
- To find P(Z ≤ 0.47), locate 0.4 in the left column and 0.07 in the top row. The cell at the intersection contains 0.6808, which is the probability.

The table is a vital tool for statistical analyses, particularly in areas involving standard normal distribution assessments.
Transcribed Image Text:This image shows a "Table of Standard Normal Probabilities" used in statistics to find the probability of a standard normal random variable Z being less than or equal to a given value. ### Explanation: - **Rows and Columns**: The table is organized with Z-values listed along the leftmost column and additional decimal points along the topmost row. - **Values**: Each cell in the table provides the cumulative probability for a specific Z-value. To find P(Z ≤ z), you identify the appropriate row based on the Z-value's first decimal place and use the column for the second decimal place. For example: - To find P(Z ≤ 0.47), locate 0.4 in the left column and 0.07 in the top row. The cell at the intersection contains 0.6808, which is the probability. The table is a vital tool for statistical analyses, particularly in areas involving standard normal distribution assessments.
The following information relates to a project (task times are in weeks). Use the information to solve for the critical path and then to determine the probability that the project could be completed within 36 weeks.

| Task | Preceding Tasks | \( t_o \) | \( t_m \) | \( t_p \) |
|------|-----------------|--------|--------|--------|
| A    | None            | 4      | 6      | 8      |
| B    | A               | 4      | 7      | 10     |
| C    | A               | 2      | 7      | 12     |
| D    | B               | 8      | 13     | 18     |
| E    | C               | 3      | 9      | 15     |
| F    | D, E            | 6      | 8      | 10     |

- Click the icon to view the table of standard normal probabilities.

- The probability that the project is completed within 36 weeks is [____]. (Enter your response rounded to four decimal places.)
Transcribed Image Text:The following information relates to a project (task times are in weeks). Use the information to solve for the critical path and then to determine the probability that the project could be completed within 36 weeks. | Task | Preceding Tasks | \( t_o \) | \( t_m \) | \( t_p \) | |------|-----------------|--------|--------|--------| | A | None | 4 | 6 | 8 | | B | A | 4 | 7 | 10 | | C | A | 2 | 7 | 12 | | D | B | 8 | 13 | 18 | | E | C | 3 | 9 | 15 | | F | D, E | 6 | 8 | 10 | - Click the icon to view the table of standard normal probabilities. - The probability that the project is completed within 36 weeks is [____]. (Enter your response rounded to four decimal places.)
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