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 First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
### 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:** ____
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:** ____
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON