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Probabilities and frequencies

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50. U.S. Population The population of the United States by race in 2000 and the projected population by race for the
year 2025 are given below (in thousands).*

Race 2000 2025
White 196,700 209,900
Hispanic 32,500 56,900
African American 33,500 44,700
Asian American 10,600 24,000
Other 2100 2800

Find the probability of a randomly selected person being the following.
a. Hispanic in 2000 b. Hispanic in 2025
c. African American in 2000
d. African American in 2025

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https://brainmass.com/math/probability/probabilities-and-frequencies-226912

Solution Preview

Hello and thank you for posting your question to Brainmass.

Say we have 6 balls, three of them blue, two are red and one is green.
What is the probability of selecting a blue ball? we have three blue balls out of a population of six balls, thus the probability of selecting a single blue ball is : The number of blue balls in the population (3) divided by the total population (6), so it is

3/6 = 1/2.

By the same token, the probability of selecting a ...

Solution Summary

The solution explains and demonstrate how to calculate the probability of selecting an item from a sub-population.

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Probability Frequency Definition

2. The table below represents the results of a survey of 1000 workers in Q1 2009 as to which benefit they find is the most important.

Retirement
Benefits are most important Health Benefits are most important
Single 280 200
Married 220 300

a. If a Worker is chosen at random, what is the probability that he/she feels health benefits are most important?

b. If a Voter is chosen at random, what is the probability that he/she is married?

c. If a Voter is chosen at random, what is the probability that he/she is married and feels Health benefits are most important?

d. Given that a worker is single, what is the probability that he/she feels retirement benefits are most important?

e. Given that a worker feels Health benefits are most important, what is the probability that he/she is married?

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