Chapter 11.2, Problem 38E

(a)

To determine

To calculate: The value of the mode of the normal distribution, represented by $y=\frac{1}{\sqrt{2\pi }}{e}^{-\frac{{\left(x-10\right)}^2}{2}}$.

(b)

To determine

To calculate: The value of the mean of the normal distribution, represented by $y=\frac{1}{\sqrt{2\pi }}{e}^{-\frac{{\left(x-10\right)}^2}{2}}$.

(c)

To determine

To graph: The function, $y=\frac{1}{\sqrt{2\pi }}{e}^{-\frac{{\left(x-10\right)}^2}{2}}$, using a graphing utility.