Textbook Question
18. Rolling a Die You roll a die. Find the probability of each event.
b. Rolling a 2 or an odd number
101
views
Ch. 3 - Probability
Larson8th EditionElementary Statistics: Picturing the WorldISBN: 9780137493470
Not the one you use?Change textbookSelect a different textbook
Table of contents
- Ch. 1 - Introduction to Statistics87
- Ch. 2 - Descriptive Statistics176
- Ch. 3 - Probability184
- Ch. 4 - Discrete Probability Distributions102
- Ch. 5 - Normal Probability Distributions183
- Ch. 6 - Confidence Intervals154
- Ch. 7 - Hypothesis Testing with One Sample165
- Ch. 8 - Hypothesis Testing with Two Samples134
- Ch. 9 - Correlation and Regression87
- Ch. 10 - Chi-Square Tests and the F-Distribution87
Larson8th EditionElementary Statistics: Picturing the WorldISBN: 9780137493470Not the one you use?Change textbook
Chapter 3, Problem 3.3.22b
22. Brexit A survey asked 1115 British adults how Britain's decision to leave the European Union has impacted the country. The results are shown in the Pareto chart. Find the
probability of each event. (Adapted from Ipsos)
b. Randomly selecting a British adult who feels that the move has had a very negative impact on Great Britain
Verified step by step guidance1
Step 1: Identify the total number of respondents in the survey. According to the problem, the total number of British adults surveyed is 1115.
Step 2: Locate the number of respondents who feel that the move has had a 'very negative' impact. From the Pareto chart, this value is 256.
Step 3: Recall the formula for probability: \( P(A) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \). Here, the favorable outcome is the number of respondents who feel the impact is 'very negative', and the total number of outcomes is the total number of respondents.
Step 4: Substitute the values into the formula: \( P(\text{Very Negative}) = \frac{256}{1115} \).
Step 5: Simplify the fraction if necessary to express the probability in its simplest form or as a decimal.
Verified video answer for a similar problem:
This video solution was recommended by our tutors as helpful for the problem above.
Video duration:
2mWas this helpful?
Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Probability
Probability is a measure of the likelihood that a particular event will occur, expressed as a number between 0 and 1. In this context, it refers to the chance of randomly selecting a British adult who perceives the impact of Brexit as 'very negative.' This can be calculated by dividing the number of respondents who selected 'very negative' by the total number of respondents.
Recommended video:
5:37
Introduction to Probability
Pareto Chart
A Pareto chart is a type of bar graph that represents the frequency or impact of problems in a descending order. It helps to visualize the most significant factors in a dataset. In this case, the chart displays the responses of British adults regarding the impact of Brexit, allowing for easy identification of the most common perceptions.
Recommended video:
04:52Creating Bar Graphs and Pareto Charts
Survey Sampling
Survey sampling involves selecting a subset of individuals from a larger population to gather insights about that population. In this scenario, 1,115 British adults were surveyed to understand their views on Brexit. The sample size is crucial for ensuring that the results are representative and can be generalized to the broader population.
Recommended video:
05:11Sampling Distribution of Sample Proportion
Related Practice
Textbook Question
"Using the Multiplication Rule In Exercises 19-32, use the Multiplication Rule.
24. Knowing a Person Who Was Murdered In a sample of 11,771 children ages 2 to 17, 8% have lost a friend or relative to murder. Four children are selected at random. (Adapted from University of New Hampshire)
b. Find the probability that none of the four has lost a friend or relative to murder."
61
views
Textbook Question
"Using the Multiplication Rule In Exercises 19-32, use the Multiplication Rule.
23. Celebrities as Role Models In a sample of 1103 probable voters, three out of four say they would like entertainers to address social and political issues. Two probable voters are selected at random. (Source: The Hollywood Reporter)
b. Find the probability that neither probable voter would like entertainers to address social and political issues."
63
views
Textbook Question
Using the Multiplication Rule In Exercises 19-32, use the Multiplication Rule.
30. Standardized Test Scores According to a survey, 57.8% of college-seeking high school seniors say they have taken one of the standardized tests for potential college students. Of these, 35.6% say they do not plan to submit their score with their college applications. (Adapted from Niche)
b. Find the probability that a randomly selected college-seeking high school senior took one of the standardized tests and plans to submit this score with their college
applications.
106
views
Textbook Question
Using the Multiplication Rule In Exercises 19-32, use the Multiplication Rule.
28. Blood Types The probability that a Latinx American person in the United States has type A+ blood is 29%. Four Latinx American people in the United States are selected at random. (Source: American National Red Cross)
b. Find the probability that none of the four have type A+ blood.
100
views
Textbook Question
Finding Conditional Probabilities In Exercises 7 and 8, use the table to find each conditional probability.
8. Retirement Savings The table shows the results of a survey in which 250 male and 250 female workers ages 25 to 64 were asked if they contribute to a retirement savings plan at
work.
b. Find the probability that a randomly selected worker is female, given that the worker contributes to a retirement savings plan at work.
125
views