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Use Bayes' Theorem to Find the Indicated Probability

question 44

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Use Bayes' theorem to find the indicated probability.
-In one town, 4% of 18-29 year olds own a home, as do 25% of 30-50 year olds and 52% of those over 50. According to a recent census taken in the town, 26.2% of adults in the town are 18-29 years old, 36.0% are 30-50
Years old, and 37.8% are over 50. If an adult is selected at random from the town and found to be a
Home-owner, what is the probability that they are aged between 30 and 50?

Recognize the significance of sleep quality over sleep quantity.
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Definitions:

Vice President

The second-highest executive officer in a government's executive branch, typically serving under the President and possibly taking over the presidency in case of vacancy.

President

The head of state and government in a republic, often elected by the populace and with executive powers defined by the country's constitution.

Separation of Powers

A foundational principle of governance in which the state's powers are divided among three distinct branches (legislative, executive, and judicial) to prevent abuse of power.

Legislation

Laws and statutes that are enacted by a legislative body in a government.

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