exercise:D598793dbf: 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 a random variable with density function <math>f_X</math>. The ''mode'' of <math>X</math> is the value <math>M</math> for which <math>f(M)</math> is maximum. Then values of <math>X</math> near <math>M</math> are most likely...") |
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Let <math>X</math> be a random variable with density function <math>f_X</math>. The ''mode'' of <math>X</math> is the value <math>M</math> for which <math>f(M)</math> is maximum. Then values of <math>X</math> near <math>M</math> are most likely to occur. Find <math>M</math> if <math>X</math> is distributed normally or exponentially, as in [[exercise:77ea6286d5 |Exercise]]. What happens if <math>X</math> is distributed uniformly? | |||
The ''mode'' of <math>X</math> is the value <math>M</math> for which <math>f(M)</math> is maximum. Then values of | |||
<math>X</math> near <math>M</math> are most likely to occur. Find <math>M</math> if <math>X</math> is distributed normally or | |||
exponentially, as in | |||
uniformly? | |||
Latest revision as of 02:07, 14 June 2024
Let [math]X[/math] be a random variable with density function [math]f_X[/math]. The mode of [math]X[/math] is the value [math]M[/math] for which [math]f(M)[/math] is maximum. Then values of [math]X[/math] near [math]M[/math] are most likely to occur. Find [math]M[/math] if [math]X[/math] is distributed normally or exponentially, as in Exercise. What happens if [math]X[/math] is distributed uniformly?