[math] \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}[/math]

Repeat Exercise Exercise, but this time with mean 10 and

variance 3. Note that the table in Appendix A presents values for a standard normal variable. Find the standardized version [math]X^*[/math] for [math]X[/math], find values for [math]f^*(x) = P(|X^*| \geq x)[/math] as in Exercise Exercise, and then rescale these values for [math]f(x) = P(|X -10| \geq x)[/math]. Graph and compare this function with the Chebyshev function [math]g(x) = 3/x^2[/math].