Revision as of 02:28, 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> Let <math>S_{100}</math> be the number of heads that turn up in 100 tosses of a fair coin. Use the Central Limit Theorem to estimate <ul><li> <math>P(S_{100} \leq 45)</math>. </li> <li> <math>P(45 < S_{100} < 55)</math>. </li> <li> <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]

Let [math]S_{100}[/math] be the number of heads that turn up in 100 tosses of a

fair coin. Use the Central Limit Theorem to estimate

  • [math]P(S_{100} \leq 45)[/math].
  • [math]P(45 \lt S_{100} \lt 55)[/math].
  • [math]P(S_{100} \gt 63)[/math].
  • [math]P(S_{100} \lt 57)[/math].