Chapter 9, Problem 41RE

(a)

To determine

To calculate: The expected value of probability density function $f\left(x\right)=\frac{3}{2x^2}$ over the closed interval $\left[1,3\right]$.

(b)

To determine

To calculate: The variance of the probability density function $f\left(x\right)=\frac{3}{2x^2}$ over the interval $\left[1,3\right]$.

(c)

To determine

To calculate: The standard deviation of probability density function $f\left(x\right)=\frac{3}{2x^2}$ over the interval $\left[1,3\right]$.

(d)

To determine

To graph: The probability density function $f\left(x\right)=\frac{3}{2x^2}$ over the interval $\left[1,3\right]$ and locate the mean on the graph.