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Probability: Age Distribution in the United States

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The following table gives the approximate age distribution in the United States from the 2000 census.

Age Population
19 & under 29%
20 - 34 21%
35 - 59 34%
60 - 84 15%
85 & over 1%

a. Does the data listed above comprise a valid probability distribution? Explain.
b. What is the probability that a randomly selected person in the US will be at least 20 years old?
c. What is the probability that a randomly selected person will be less than 60 years old?
d. What is the probability that a randomly selected person will be less that 20 years of age or more than 85 years old?
e. What is the probability that a randomly selected person is not older that 59?

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Solution Preview

Age distribution in the United States
1. The following table gives the approximate age distribution in the United States from the 2000 census.

Age Population
19 & under 29%
20 - 34 21%
35 - 59 34%
60 - 84 15%
85 & over 1%