Textbook Question
18. Rolling a Die You roll a die. Find the probability of each event.
b. Rolling a 2 or an odd number
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Ch. 3 - Probability
Larson8th EditionElementary Statistics: Picturing the WorldISBN: 9780137493470
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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 3.3.20a
Marijuana Use The percent distribution of the last marijuana use (either medical or nonmedical) for a sample of 13,373 college students is shown in the pie chart. Find the
probability of each event. (Source: American College Health Association)
a. Randomly selecting a student who never used marijuana
Verified step by step guidance1
Step 1: Understand the problem. The goal is to find the probability of randomly selecting a student who has never used marijuana. The pie chart provides the percent distribution of marijuana use among college students.
Step 2: Identify the relevant data from the pie chart. The section labeled 'Never' corresponds to students who have never used marijuana, and its percentage is 58.7%.
Step 3: Recall that probability is calculated as the proportion of the desired outcome relative to the total population. In this case, the probability of selecting a student who has never used marijuana is equal to the percentage of students in the 'Never' category divided by 100.
Step 4: Convert the percentage into a decimal form for probability calculation. To do this, divide 58.7 by 100. This gives the probability in decimal form.
Step 5: Interpret the result. The probability represents the likelihood of randomly selecting a student who has never used marijuana from the sample of 13,373 college students.
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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 student from the sample who has never used marijuana. The probability can be calculated by dividing the number of students in a specific category by the total number of students surveyed.
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Percent Distribution
Percent distribution is a way of representing data in terms of percentages, showing how a total is divided among different categories. In the pie chart provided, each segment represents the percentage of students based on their last marijuana use, allowing for a visual comparison of the different categories, including those who have never used marijuana.
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06:38Intro to Frequency Distributions
Sample Size
Sample size refers to the number of observations or data points collected in a study. In this case, the sample size is 13,373 college students, which is significant for ensuring that the results are reliable and can be generalized to a larger population. A larger sample size typically leads to more accurate estimates of probabilities and distributions.
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Related Practice
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)
a. Find the probability that all four have type A+ blood."
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)
a. Find the probability that all four have lost a friend or relative to murder.
Textbook Question
"Using the Multiplication Rule In Exercises 19-32, use the Multiplication Rule.
26. Worst President In a sample of 1500 adult U.S. citizens, 690 said that Donald Trump was the worst president in U.S. history. Three adult U.S. citizens are selected at random.
(Adapted from YouGov)
b. Find the probability that none of the three adult U.S. citizens say that Donald Trump was the worst president in U.S. history."
Textbook Question
Finding Conditional Probabilities In Exercises 7 and 8, use the table to find each conditional probability.
7. Business Degrees The table shows the numbers of male and female students in the United States who received bachelor's degrees in business and nonbusiness fields in a recent year. (Source: National Center for Educational Statistics)
b. Find the probability that a randomly selected bachelor's degree-earning student received a business degree, given that the student is female.
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Textbook Question
Using the Multiplication Rule In Exercises 19-32, use the Multiplication Rule.
29. In Vitro Fertilization In a recent year, about 1.9% of all infants born in the U.S. were conceived through assisted reproductive technology (ART). Of the ART deliveries, about 26.4% resulted in multiple births. (Source: Morbidity and Mortality Weekly Report)
a. Find the probability that a randomly selected infant was conceived through ART and was part of a multiple birth.