Use Bayes' Theorem or a Tree Diagram to Calculate the Indicated

question 18

Multiple Choice

Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round the answer to four decimal places. $P ( A \mid B ) = 0.8$ , $P ( B ) = 0.2$ , $P \left( A \mid B ^ { \prime } \right) = 0.3$ . Find $P ( B \mid A )$ .

• A) \(P ( B \mid A ) = 0.16\)
• B) \(P ( B \mid A ) = 0.12\)
• C) \(P ( B \mid A ) = 0.4\)
• D) \(P ( B \mid A ) = 0.6\)
• E) \(P ( B \mid A ) = 0.84\)

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Definitions:

Population of Interest

A specific group of individuals or entities that a researcher or study aims to understand or draw conclusions about.

Independent Variable

In a study, the variable that the researcher alters to determine its impact on the dependent variable.

Dependent Variable

In an experiment, the variable that is observed and measured for change, thought to be influenced by the independent variable.

Illusory Correlation

The belief in a connection between two variables despite the absence of any actual relationship.