Chapter 10, Problem 6CRQ

a.

To determine

To fill: The blank in the statement “The variance of a random variable is a measure of the degree of _____ of a probability distribution about its mean” with the appropriate answer.

b.

To determine

To fill: The blank in the statement “If X denotes a random variable that assumes the values $x_1,x_2,\mathrm{...},x_n$ with associated probabilities $p_1,p_2,\mathrm{...},p_n$ and $\mu =E\left(X\right)$, then the variance of the random variable X is $\text{Var}\left(X\right)=\underset{\_}{}$” with the appropriate answer.

c.

To determine

To fill: The blank in the statement “The standard deviation of a random variable X is $\sigma =\underset{\_}{\sqrt{\text{Var}\left(X\right)}}$” with the appropriate answer.