Use Bayes' Theorem to Find the Indicated Probability

question 44

Multiple Choice

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?

• A) 0.09
• B) 0.36
• C) 0.25
• D) 0.303

---

Definitions:

First-Order Change

Surface-level alterations in behavior or thought patterns that do not fundamentally transform underlying systems or structures.

Strengths-Based

An approach in social work and psychology that focuses on individuals' inherent strengths and resources as a basis for therapy and intervention.

Relational Structure

The way in which relationships are organized or the pattern of connections between individuals in a system.

Complementary Roles

Situations in which individuals or elements work together in harmony, each contributing in a way that enhances or complements the function of the other.