Chapter CR, Problem 74E

(a)

To determine

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

(b)

To determine

To calculate: The mean $\mu$ and standard deviation $\sigma$ if $f\left(x\right)=\frac{c}{x^2}$ be a probability density function over the interval $\left[1,3\right]$.

(c)

To determine

To calculate: The value of $P\left(\left[1.5,2.5\right]\right)$ if $f\left(x\right)=\frac{c}{x^2}$ be a probability density function over the interval $\left[1,3\right]$.