Which of the Following Statements Is True for Any Two

question 326

Multiple Choice

Which of the following statements is true for any two events A and B defined on a sample space S?

• A)If the intersection of events A and B is the empty set,then A and B are collectively exhaustive.
• B)If the union of events A and B is the empty set,then each of A and B is the empty set.
• C)If events A and B are collectively exhaustive,then A ∪ B ≠ ∅.
• D)If events A and B are mutually exclusive and collectively exhaustive,then the union of A and B is not necessarily the sample space.

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Definitions:

Standard Deviation

A statistical measure of the dispersion or variation around the mean in a set of data, often used in finance to gauge investment risk.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, widely used in finance to assess the volatility of an investment.

Standard Deviation

A statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.

Asset A

A hypothetical or specific item of economic value owned by an individual or corporation, expected to provide future benefit.