Regarding Probability, Which of the Following Is Correct

question 24

Multiple Choice

Regarding probability, which of the following is correct?

• A)When events A and B are mutually exclusive, then P(A∩B) = P(A) + P(B).
• B)The union of events A and B consists of all outcomes in the sample space that are contained in both event A and event B.
• C)When two events A and B are independent, the joint probability of the events can be found by multiplying the probabilities of the individual events.
• D)The probability of the union of two events can exceed one.

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Definitions:

Absolute Value

Refers to the distance of a number from 0 on the number line, without considering direction.

Correlation Coefficient

A statistical index measuring the strength and direction of a linear relationship between two variables.

Average Error

A statistical measure that averages the absolute differences between the observed values and the values predicted by a model.

Independent Variable

The variable that is manipulated in an experiment to observe its effect on the dependent variable.