Chapter 10, Problem 5CRQ

a.

To determine

To fill: The blank in the statement “The average or mean of n numbers ${\text{x}}_1,x_2,\mathrm{...},x_n$ is $\overline{x}=\_\_\_\_\_\_\_$” with the appropriate answer.

b.

To determine

To fill: The blank in the statement “The expected value of a random variable X is a measure of the ______ of the probability distribution associated with ______” with the appropriate answer.

c.

To determine

To fill: The blank in the statement “The expected value of a discrete random variable X is $E\left(X\right)=\_\_\_\_\_\_$, where $x_1,x_2,\mathrm{...},x_n$ are assumed by ______ and $p_1,p_2,\mathrm{...},p_n$ are the associated _____” with the appropriate answer.

d.

To determine

To fill: The blank in the statement “The expected value of a continuous random variable X is $E\left(X\right)=\_\_\_\_\_\_$, where f is the ______ function defined on _____ that is associated with X” with the appropriate answer.