exercise:E9e34e11ee: Difference between revisions
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(Created page with "<div class="d-none"><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></div> Let <math>X</math> be the random variable of Exercise \ref{exer 8.2.2}. <ul><li> Calculate the function <math>f(x) = P(|X - 10| \geq x)</math>. </li> <li> Now graph the function <math>f(x)</math>, and on the same axes, graph the Chebyshev function...") |
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Let <math>X</math> be the random variable of [[exercise:444d73c222|Exercise]]. | |||
<ul style="list-style-type:lower-alpha"><li> Calculate the function <math>f(x) = P(|X - 10| \geq x)</math>. | |||
<ul><li> Calculate the function <math>f(x) = P(|X - 10| \geq x)</math>. | |||
</li> | </li> | ||
<li> Now graph the function <math>f(x)</math>, and on the same axes, graph the | <li> Now graph the function <math>f(x)</math>, and on the same axes, graph the | ||
Latest revision as of 23:47, 14 June 2024
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].