Revision as of 03:24, 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> Peter and Paul play Heads or Tails (see Example \ref{exam 1.3}). Let <math>W_n</math> be Peter's winnings after <math>n</math> matches. Show that <math>E(W_n) = 0</math> and <math>V(W_n) = n</math>.")
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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]

Peter and Paul play Heads or Tails (see Example \ref{exam

1.3}). Let [math]W_n[/math] be Peter's winnings after [math]n[/math] matches. Show that [math]E(W_n) = 0[/math] and [math]V(W_n) = n[/math].