Let [math]X[/math] be the random variable of Exercise.

• Calculate the function [math]f(x) = P(|X - 10| \geq x)[/math].
• Now graph the function [math]f(x)[/math], and on the same axes, graph the Chebyshev function [math]g(x) = 100/(3x^2)[/math]. Show that [math]f(x) \leq g(x)[/math] for all [math]x \gt 0[/math], but that [math]g(x)[/math] is not a very good approximation for [math]f(x)[/math].