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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> Write a program to choose a point <math>(X,Y)</math> ''at random'' in a square of side 20 inches, doing this 10,00 times, and recording what fraction of the outcomes fall within 19 inches of the center; of these, what fraction fall between 8 and...")
 
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\newcommand{\mathds}{\mathbb}</math></div> Write a program to choose a point <math>(X,Y)</math> ''at random'' in a  
\newcommand{\mathds}{\mathbb}</math></div> Write a program to choose a point <math>(X,Y)</math> ''at random'' in a square of side 20 inches, doing this 10,00 times, and recording what fraction of the outcomes fall within 19 inches of the center; of these, what fraction fall
square of side 20 inches, doing this 10,00 times, and recording what fraction of the
outcomes fall within 19 inches of the center; of these, what fraction fall
between 8 and 10 inches of the center; and, of these, what fraction fall within
between 8 and 10 inches of the center; and, of these, what fraction fall within
the first quadrant of the square.  How do these results compare with those of
the first quadrant of the square.  How do these results compare with those of
Exercise [[exercise:9d90fef1a2 |Exercise]]?
Exercise [[exercise:9d90fef1a2 |Exercise]]?

Revision as of 22:30, 12 June 2024

[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]

Write a program to choose a point [math](X,Y)[/math] at random in a square of side 20 inches, doing this 10,00 times, and recording what fraction of the outcomes fall within 19 inches of the center; of these, what fraction fall

between 8 and 10 inches of the center; and, of these, what fraction fall within the first quadrant of the square. How do these results compare with those of Exercise Exercise?