Which of the Following Formulas Will Compute the Variance of a Discrete

question 43

Multiple Choice

Which of the following formulas will compute the variance of a discrete random variable X?

• A)\(\sum_{j=1}^{n}\left(x_{j}-E[X]^{2}\right)\)
• B)\(\sum_{j=1}^{\infty} \mathrm{E}[X]^{2} f\left(x_{j}\right)\)
• C)\(\sum_{j=1}^{\infty}\left(x_{j}-E[X]\right)^{2} f\left(x_{j}\right)\)
• D)\(\sum_{j=1}^{\infty}\left(x_{j}\right) 2 f\left(x_{j}\right)\)

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Definitions:

State Capital

The city or town that functions as the administrative seat of government for a state.

Semantic Memory

A type of long-term memory involving the capacity to recall words, concepts, or numbers, which is essential for the use and understanding of language.

Chunk

A meaningful unit of information; it may be composed of smaller units.

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A type of long-term memory that involves the recollection of specific events, situations, and experiences.