Compute the Variance and Standard Deviation of a Discrete Random $x$

question 90

Multiple Choice

Compute the Variance and Standard Deviation of a Discrete Random Variable
-The random variable x represents the number of computers that families have along with the corresponding probabilities. Find the mean and standard deviation for the random variable $x$ .
$\begin{array}{c|c}\mathrm{x} & \mathrm{P}(\mathrm{x}) \\\hline 0 & 0.49 \\1 & 0.05 \\2 & 0.32 \\3 & 0.07 \\4 & 0.07\end{array}$

• A) mean: 1.18; standard deviation: \(1.30\)
• B) mean: 1.39; standard deviation: \(0.64\)
• C) mean: \(1.39\); standard deviation: \(0.80\)
• D) mean: \(1.18\); standard deviation: \(0.64\)

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Definitions:

Systematic Judgment

The process of making decisions or conclusions based on a methodical consideration of evidence, criteria, or predetermined rules.

Potential Employee

An individual who is being considered for employment within an organization, typically during the recruitment and selection process.

Perceiver Expectations

The assumptions or beliefs that an observer holds about a situation or individual that can influence their perception and interpretation.

Pygmalion Effect

The phenomenon where higher expectations lead to an increase in performance.