A Discrete Random Variable X Can Assume Five Possible Values

question 92

Multiple Choice

A discrete random variable x can assume five possible values: 2, 3, 5, 8, 10. Its probability distribution is shown below. Find the standard deviation of the distribution. $$\begin{array} { c | c c c c c } \mathrm { x } & 2 & 3 & 5 & 8 & 10 \\\hline \mathrm { p } ( \mathrm { x } ) & 0.10 & 0.20 & 0.30 & 0.30 & 0.10\end{array}$$

• A) 2.532
• B) 5.7
• C) 6.41
• D) 1.845

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Definitions:

Availability Heuristic

A cognitive shortcut that relies on immediate examples that come to a person’s mind when evaluating a specific topic, concept, method, or decision.

Explicit Bias

Conscious or deliberate prejudice toward particular groups or individuals based on race, gender, age, or other characteristics.

Just-world Phenomenon

A cognitive bias leading individuals to believe that the world is fundamentally fair, thus people get what they deserve.

Scapegoat Theory

A concept in social psychology that suggests individuals or groups are unfairly blamed for problems not of their making.