Based on 2022 Gallup poll, about 40% of the people consider economic problems is the most important problem in the nation. Consider a random sample of 40 people. a. b. C. } Compute the probability that exactly 10 persons consider economic problems as a top domestic issue. Show your work. Use Excel function "=binorm.dist" to get printout of the probability distribution. See page 66 of the course packet and pages 269-270 of your textbook. Use the printout in part b to calculate the probability that more than 15 persons consider economic problems as a top domestic issue.

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
**Title: Probability Analysis Based on Gallup Poll Data**

**Introduction**

Based on a 2022 Gallup poll, approximately 40% of people consider economic problems the most important issue in the nation. In this exercise, we will analyze a random sample of 40 people to explore probabilities related to this topic.

**Problems and Solutions**

**a. Probability Calculation**

- **Task**: Compute the probability that exactly 10 persons consider economic problems as a top domestic issue. Show your work.

**b. Using Excel for Probability Distribution**

- **Task**: Use the Excel function "BINOM.DIST" to get a printout of the probability distribution. This can be done by following the instructions found on page 66 of the course packet and pages 269–270 of your textbook.

**c. Probability of More Than 15 People**

- **Task**: Use the printout from part b to calculate the probability that more than 15 persons consider economic problems as a top domestic issue.

**d. Expected Number of People**

- **Task**: Calculate the expected number of people who consider economic problems as a top domestic issue.

**e. Variance and Standard Deviation**

- **Task**: Determine the variance and the standard deviation of the distribution.

**Conclusion**

This exercise uses real-world data to explore statistical concepts such as probability calculations, expected values, and measures of dispersion using practical tools like Excel.
Transcribed Image Text:**Title: Probability Analysis Based on Gallup Poll Data** **Introduction** Based on a 2022 Gallup poll, approximately 40% of people consider economic problems the most important issue in the nation. In this exercise, we will analyze a random sample of 40 people to explore probabilities related to this topic. **Problems and Solutions** **a. Probability Calculation** - **Task**: Compute the probability that exactly 10 persons consider economic problems as a top domestic issue. Show your work. **b. Using Excel for Probability Distribution** - **Task**: Use the Excel function "BINOM.DIST" to get a printout of the probability distribution. This can be done by following the instructions found on page 66 of the course packet and pages 269–270 of your textbook. **c. Probability of More Than 15 People** - **Task**: Use the printout from part b to calculate the probability that more than 15 persons consider economic problems as a top domestic issue. **d. Expected Number of People** - **Task**: Calculate the expected number of people who consider economic problems as a top domestic issue. **e. Variance and Standard Deviation** - **Task**: Determine the variance and the standard deviation of the distribution. **Conclusion** This exercise uses real-world data to explore statistical concepts such as probability calculations, expected values, and measures of dispersion using practical tools like Excel.
Expert Solution
Step 1

Given:

About 40% of the people consider economic problems the most important problem in the nation.

Sample size n=40

steps

Step by step

Solved in 4 steps with 3 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