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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 add random numbers chosen from <math>[0,1]</math> until the first time the sum is greater than one. Have your program repeat this experiment a number of times to estimate the expected number of selections necessary in order tha...") |
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Write a program to add random numbers chosen from <math>[0,1]</math> until the first time the sum is greater than one. Have your program repeat this | |||
until the first time the sum is greater than one. Have your program repeat this | |||
experiment a number of times to estimate the expected number of selections necessary | experiment a number of times to estimate the expected number of selections necessary | ||
in order that the sum of the chosen numbers first exceeds 1. On the basis of your | in order that the sum of the chosen numbers first exceeds 1. On the basis of your | ||
experiments, what is your estimate for this number? | experiments, what is your estimate for this number? | ||
Latest revision as of 17:15, 14 June 2024
Write a program to add random numbers chosen from [math][0,1][/math] until the first time the sum is greater than one. Have your program repeat this experiment a number of times to estimate the expected number of selections necessary in order that the sum of the chosen numbers first exceeds 1. On the basis of your experiments, what is your estimate for this number?