Chapter 9, Problem 44RE

(a)

To determine

To calculate: The expected value of probability density function $f\left(x\right)=\frac{3}{16}\sqrt{x}$ over the interval $\left[0,4\right]$.

(b)

To determine

To calculate: The variance of probability density function $f\left(x\right)=\frac{3}{16}\sqrt{x}$ over the interval $\left[0,4\right]$.

(c)

To determine

To calculate: The standard deviation of probability density function $f\left(x\right)=\frac{3}{16}\sqrt{x}$ over the interval $\left[0,4\right]$.

(d)

To determine

To graph: The probability density function $f\left(x\right)=\frac{3}{16}\sqrt{x}$ over the interval $\left[0,4\right]$.