$!$

Required information

The standard normal probability density function is a bell$-$shaped curve that is described by

$f(z)=\frac{1}{\sqrt[\phantom{2}]{2}}{e}^{-\frac{x^2}{2}}$

NOTE: This is a multi$-$part question. Once an answer is submitted, you will be unable to return to this part.

Develop Python commands to generate a plot of this function from $z=-4$ to $4.$ Use $99$ points to provide a smooth curve plot. Label the ordinate as frequency and the abscissa as $z.$ Compute and display the maximum value of $f(z).$

The maximum value of $f(z)$ is