Calculate the Standard Deviation of X for the Probability Distribution

question 34

Multiple Choice

Calculate the standard deviation of X for the probability distribution. Please round your answer to two decimal places, if necessary. $$\begin{array} { | c | c | c | c | c | c | c | } \hline x & - 5 & - 2 & 0 & 3 & 6 & 10 \\\hline P ( X = x ) & 0.2 & 0.3 & 0.2 & 0.1 & 0 & 0.2 \\\hline\end{array}$$

• A) \(\sigma = 10\)
• B) \(\sigma = 13.31\)
• C) \(\sigma = 0.7\)
• D) \(\sigma = 26.61\)
• E) \(\sigma = 5\)

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Definitions:

Psychiatrist

A medical professional specializing in diagnosing and treating mental health disorders.

Distractible

Having the tendency to have one's attention easily diverted from the task at hand or from the focus of attention.

Medical Model

A framework that views psychological disorders as similar to physical diseases, focusing on diagnosis, treatment, and cure based on biological factors.

Schizophrenia

A complex, long-term mental disorder characterized by abnormal social behavior and difficulty in distinguishing between reality and imagination.