The Probability Distribution of a Random Variable Is Given Along $\begin{array}{r|ccccc}x & 0 & 1 & 2 & 3 & 4 \\\hline P(X=x) & \frac{1}{16} & \frac{1}{4} & \frac{3}{8} & \frac{1}{4} & \frac{1}{16}\end{array}$

question 137

Multiple Choice

The probability distribution of a random variable is given along with its mean and standard deviation. Draw aprobability histogram for the random variable; locate the mean and show one, two, and three standard deviationintervals.
-The random variable X is the number of tails when four coins are flipped. Its probability distribution is as follows. $\begin{array}{r|ccccc}x & 0 & 1 & 2 & 3 & 4 \\\hline P(X=x) & \frac{1}{16} & \frac{1}{4} & \frac{3}{8} & \frac{1}{4} & \frac{1}{16}\end{array}$
$$\mu = 2 , \sigma = 1$$

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Definitions:

Smooth Pursuit Eye Movements

The slow, controlled movements of the eyes designed to keep a moving object in focus, which can be used in psychological experiments and diagnostics.

Schizophrenia

A serious mental disorder characterized by distortions in thinking, perception, emotions, language, sense of self, and behavior, often involving hallucinations and delusions.

Diathesis

A predisposition or vulnerability for the development of an illness or disorder.

Meehl's Theory

Refers to Paul Meehl’s contributions to clinical versus statistical prediction of behavior and his work on the etiology of schizophrenia.