exercise:Fc4aee3a4b: 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> In Example, assume that the book in question has 1000 pages. Let <math>X</math> be the number of pages with no mistakes. Show that <math>E(X) = 905</math> and <math>V(X) = 86</math>. Using these results, show that...") |
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In [[guide:A618cf4c07#exam 5.3 |Example]], assume that the book in question has 1000 pages. Let | |||
1000 pages. Let | |||
<math>X</math> be the number of pages with no mistakes. Show that <math>E(X) = 905</math> and <math>V(X) = 86</math>. | <math>X</math> be the number of pages with no mistakes. Show that <math>E(X) = 905</math> and <math>V(X) = 86</math>. | ||
Using these results, show that the probability is <math>{} | Using these results, show that the probability is <math>{} | ||
\leq .05</math> that there will be more than 924 pages without errors or fewer than 866 | \leq .05</math> that there will be more than 924 pages without errors or fewer than 866 | ||
pages without errors. | pages without errors. | ||
Latest revision as of 21:28, 14 June 2024
In Example, assume that the book in question has 1000 pages. Let [math]X[/math] be the number of pages with no mistakes. Show that [math]E(X) = 905[/math] and [math]V(X) = 86[/math]. Using these results, show that the probability is [math]{} \leq .05[/math] that there will be more than 924 pages without errors or fewer than 866 pages without errors.