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

question 57

Multiple Choice

Compute the Variance and Standard Deviation of a Discrete Random Variable
-The random variable $x$ represents the number of tests that a patient entering a clinic will have along with the corresponding probabilities. Find the mean and standard deviation for the random variable $x$ .
$\begin{array}{l|c}\mathrm{x} & \mathrm{P}(\mathrm{x}) \\\hline 0 & \frac{3}{17} \\1 & \frac{5}{17} \\2 & \frac{6}{17} \\3 & \frac{2}{17} \\4 & \frac{1}{17}\end{array}$

• A) mean: 1.59; standard deviation: \(1.09\)
• B) mean: \(1.59\); standard deviation: \(3.72\)
• C) mean: \(2.52\); standard deviation: \(1.93\)
• D) mean: \(3.72\); standard deviation: \(2.52\)

Distinguish between different health care and public health efforts.

Recognize the importance of nurse involvement in health care system changes.

Understand the factors influencing community health and the role of community health nursing.

Identify the goals of Healthy People 2020 and the factors influencing individual and community health.

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Definitions:

Central Cities

Principal cities in a metropolitan area, typically containing a significant portion of the region's employment and amenities.

Suburbanization

The process by which people move from urban areas to the suburbs, leading to the expansion of suburban communities.

Industry Shift

A change in the major economic activity or dominant sector within an industry due to technological, market, or policy changes.

Mechanization of Agriculture

The process of using agricultural machinery to automate the work on farms, increasing productivity and efficiency in food production.