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> A bin of 1000 turnbuckles has an unknown number <math>D</math> of defectives. A sample of 100 turnbuckles has 2 defectives. The ''maximum likelihood estimate'' for <math>D</math> is the number of defectives which gives the highest probability f...")
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Jun 09'24

Exercise

[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]

A bin of 1000 turnbuckles has an unknown number

[math]D[/math] of defectives. A sample of 100 turnbuckles has 2 defectives. The maximum likelihood estimate for [math]D[/math] is the number of defectives which gives the highest probability for obtaining the number of defectives observed in the sample. Guess this number [math]D[/math] and then write a computer program to verify your guess.