exercise:799107f5a2: Difference between revisions

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(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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<div class="d-none"><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
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<ul style="list-style-type:lower-alpha"><li>  <math>P(S_{100} \leq 45)</math>.
\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>
<li>  <math>P(45  <  S_{100}  <  55)</math>.
<li>  <math>P(45  <  S_{100}  <  55)</math>.

Latest revision as of 23:56, 14 June 2024

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].