U.S. Population The data show the U.S. population by age.
Under 20 years is 27.0.
20 years and over is 7.30.
65 years and over is 13.1.
Choose one person from the United States at random.
Find the probability that the person is
a. From 20 years to 64 years
b. Under 20 or 65 and over
c. Not 65 and over
To find the probability, we need to divide the desired outcome by the total possibilities.
a. From 20 years to 64 years:
The probability that a person is from 20 to 64 years old can be calculated by dividing the population between 20 and 64 years old by the total population.
Total population = 27.0 + 7.30 + 13.1
Total population = 47.4
Probability = Population between 20 and 64 years old / Total population
Probability = 7.30 / 47.4
Probability ≈ 0.154 (approximately 15.4%)
b. Under 20 or 65 and over:
The probability that a person is under 20 years old or 65 and over can be calculated by dividing the population under 20 plus the population 65 and over by the total population.
Probability = (Population under 20 + Population 65 and over) / Total population
Probability = (27.0 + 13.1) / 47.4
Probability ≈ 0.904 (approximately 90.4%)
c. Not 65 and over:
The probability that a person is not 65 and over can be calculated by subtracting the population 65 and over from the total population and dividing it by the total population.
Probability = (Total population - Population 65 and over) / Total population
Probability = (47.4 - 13.1) / 47.4
Probability ≈ 0.724 (approximately 72.4%)