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: \(2.52\)

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Definitions:

Client-Centered Therapy

A psychotherapeutic approach that emphasizes the client’s role in the healing process, recognizing them as the primary agent of change.

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A level of psychological well-being, or an absence of mental illness; the state of someone who is functioning at a satisfactory level of emotional and behavioral adjustment.

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An Austrian medical doctor and psychotherapist known for founding the school of Individual Psychology, emphasizing the importance of feelings of inferiority.