Revision as of 03:20, 9 June 2024 by Bot (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> For a certain experiment, the Poisson distribution with parameter <math>\lambda = m</math> has been assigned. Show that a most probable outcome for the experiment is the integer value <math>k</math> such that <math>m - 1 \leq k \leq m</math>. Un...")
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Jun 09'24
Exercise
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For a certain experiment, the Poisson distribution with
parameter [math]\lambda = m[/math] has been assigned. Show that a most probable outcome for the experiment is the integer value [math]k[/math] such that [math]m - 1 \leq k \leq m[/math]. Under what conditions will there be two most probable values? Hint: Consider the ratio of successive probabilities.