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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 3.3.19a
Capitolo 3, Problema 3.3.19a

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)
a. Randomly selecting someone who is under 10 years old
Pie chart showing U.S. age distribution for 2025, with percentages for each age group, including under 10 years.

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Step 1: Understand the problem. The goal is to find the probability of randomly selecting someone who is under 10 years old from the U.S. population distribution for 2025. The pie chart provides the percentage distribution of different age groups.
Step 2: Identify the relevant data. From the pie chart, the percentage of the population under 10 years old is given as 12.1%. This percentage represents the proportion of the population in this age group.
Step 3: Convert the percentage to a probability. Probability is expressed as a decimal or fraction. To convert the percentage to a decimal, divide the percentage by 100. For example, \( P(\text{Under 10 years old}) = \frac{12.1}{100} \).
Step 4: Interpret the result. The probability represents the likelihood of randomly selecting someone under 10 years old from the population. Ensure the decimal value is between 0 and 1, as probabilities must fall within this range.
Step 5: Verify the calculation. Double-check the conversion and ensure the probability aligns with the percentage provided in the pie chart.

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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 refers to the chance of randomly selecting an individual from a population who falls into a specific age category, such as those under 10 years old. The probability can be calculated by dividing the number of individuals in the desired age group by the total population.
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Percorso guidato
5:37
Introduction to Probability

Pie Chart Interpretation

A pie chart is a circular statistical graphic divided into slices to illustrate numerical proportions. Each slice represents a category's contribution to the whole, with the size of each slice corresponding to the percentage of the population in that category. Understanding how to read and interpret the pie chart is essential for determining the probabilities associated with different age groups in the U.S. population.
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Percorso guidato
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Creating Pie Charts

Age Distribution

Age distribution refers to the proportion of individuals of different ages within a population. It provides insights into demographic trends and can influence various social and economic factors. In this question, the age distribution data from the pie chart helps identify the percentage of the population that is under 10 years old, which is crucial for calculating the probability of selecting someone from that age group.
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Percorso guidato
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Uniform Distribution
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