exercise:435e0069ed: 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> 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>, fi...") |
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Repeat [[exercise:Ea798f271e |Exercise]], but this time with mean 10 and variance 3. Note that the table in Appendix A presents values for | |||
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 | 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 | values for <math>f^*(x) = P(|X^*| \geq x)</math> as in [[exercise:Ea798f271e |Exercise]], and | ||
then rescale these values for <math>f(x) = P(|X -10| \geq x)</math>. Graph and compare | 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>. | this function with the Chebyshev function <math>g(x) = 3/x^2</math>. | ||
Latest revision as of 23:51, 14 June 2024
Repeat 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, 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].