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: \(0.64\)

---

Definitions:

Selling and Administrative Expense

Expenses related to the selling of products and the general administrative functions of a company, which do not directly contribute to the production of goods.

Indirect Materials

Materials used in the production process that cannot be directly traced to a finished product, such as lubricants and adhesives for machinery.

Product Cost

The total expense incurred to produce and deliver a product or service, including materials, labor, and overhead costs.

Period Cost

Costs incurred that do not directly relate to the production of goods, such as sales and administrative expenses.