Chapter 13.CR, Problem 32CR

To determine

a)

To find:

The mean of the distribution for the probability density function $f\left(x\right)=\frac{5}{112}\left(1-x^{-3/2}\right)$ for $x$ in $\left[1,25\right]$.

To determine

b)

To find:

The standard deviation of the distribution the probability density function $f\left(x\right)=\frac{5}{112}\left(1-x^{-3/2}\right)$ for $x$ in $\left[1,25\right]$.

To determine

c)

To find:

The probability that the value of the random variable is within 1 standard deviation of the mean.