The Expected Value, E(X), of a Uniform Random Variable X $a \leq x \leq b$

question 13

Short Answer

The expected value, E(X), of a uniform random variable X defined over the interval $a \leq x \leq b$ , is: $\begin{array}{|l|l|}\hline\text { A. } & a+b \\\hline \text { B. } & a-b \\\hline \text { C. } & (a+b) / 2 \\\hline \text { D. } & (a-b) / 2 \\\hline\end{array}$

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Definitions:

Variance

A statistical measure of the dispersion of data points in a data set around the mean, indicating the volatility and risk associated with a particular asset or investment.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, indicating how much the values in a data set differ from the mean of the data set.

Variance

A statistical measure that represents the dispersion of a dataset relative to its mean, indicating the spread of the data points.

Expected Return

Expected return is the forecasted financial return on an investment, reflecting the amount of profit or loss one anticipates on an investment.