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

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Definitions:

Verbal Coding

An approach in cognitive psychology that refers to the use of words to encode information in the memory.

Short-Term Memory

The component of memory where small amounts of information can be stored for a short period of time.

Sensory Registers

Memory systems that temporarily hold incoming sensory information from the environment, allowing it to be processed further.

Acoustically

Pertaining to the properties of sound or the science of sound, including its production, transmission, and effects.