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Ch. 3 - Probability
Larson - Elementary Statistics: Picturing the World 8th Edition
Larson8th EditionElementary Statistics: Picturing the WorldISBN: 9780137493470Non è quello che usi tu?Cambia libro di testo
Tutti i libri di testoLarson 8th EditionCh. 3 - ProbabilityProblema 3.3.19c
Capitolo 3, Problema 3.3.19c

19. U.S. Age Distribution The projected percent distribution of the U.S. population for 2025 is shown in the pie chart. Find the probability of each event. (Source: U.S. Census
Bureau)
c. Randomly selecting someone who is not 60 years or over
Pie chart showing U.S. age distribution for 2025, with percentages for various age groups from under 10 to 80 years or older.

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Step 1: Identify the age groups that are 60 years or over. From the pie chart, these groups are: 60–69 years (11.9%), 70–79 years (8.6%), and 80 years or older (4.5%).
Step 2: Add the percentages of these age groups to find the total percentage of the population that is 60 years or over. Use the formula: Total percentage = 11.9% + 8.6% + 4.5%.
Step 3: Subtract the total percentage of the population that is 60 years or over from 100% to find the percentage of the population that is not 60 years or over. Use the formula: Percentage not 60 years or over = 100% - Total percentage of 60 years or over.
Step 4: Convert the percentage of the population that is not 60 years or over into a probability. Since probability is expressed as a decimal, divide the percentage by 100. Use the formula: Probability = Percentage / 100.
Step 5: Interpret the result. The probability represents the likelihood of randomly selecting someone who is not 60 years or over from the U.S. population in 2025.

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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 involves calculating the chance of randomly selecting an individual from a specific age group based on the distribution percentages shown in the pie chart.
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Introduction to Probability

Complementary Events

Complementary events are pairs of outcomes in probability that cover all possible outcomes of an experiment. For instance, in this question, selecting someone who is not 60 years or older is the complement of selecting someone who is 60 years or older, allowing for easier probability calculations.
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Complementary Events

Pie Chart Interpretation

A pie chart visually represents data in a circular format, where each slice corresponds to a category's proportion of the whole. Understanding how to read the pie chart is crucial for determining the age distribution percentages, which are necessary for calculating the required probabilities.
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Creating Pie Charts
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