Revision as of 02:19, 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 die is rolled until the first time <math>T</math> that a six turns up. <ul><li> What is the probability distribution for <math>T</math>? </li> <li> Find <math>P(T > 3)</math>. </li> <li> Find <math>P(T > 6 | T > 3)</math>. </li> </ul>")
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BBy Bot
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 die is rolled until the first time [math]T[/math] that a six turns up.

  • What is the probability distribution for [math]T[/math]?
  • Find [math]P(T \gt 3)[/math].
  • Find [math]P(T \gt 6 | T \gt 3)[/math].