Question

simple in matlab

Page < 1 > of 2 - ZOOM + 4 ordem prayerup Question 2 (10 Points) A stick of length one is randomly broken in two-pieces. In a well-documented MATLAB program, hmwk802.m, write a simulation to estimate the average ratio of the short-piece to the large piece using one-million trials. Submit your answer as a comment in the script. Ratio - :-029 Grading: 5 Points for hmwk802.m submitted to Canvas. 5 Point for Correct Answer 2n2-1. Page 1

Answer 1

Program:

format long;
sum = 0;
for i=1:1000000
% rand function generates a real number between 0 and 1 over a uniform
% distribution
n = rand();
if n>(1-n)
ratio = (1-n)/n;
else
ratio = n/(1-n);
end
sum = sum + ratio;
end
avg_ratio = sum/1000000.0;
sprintf('Avg ratio: %.10f', avg_ratio)
sprintf('2ln2 -1: %.10f', 2*log(2)-1)
%Answers upto 10 decimals
%Avg ratio: 0.3863882882
%Note: average ratio changes over time
%2ln2 -1: 0.3862943611

Untitled. m x + format long; sum = 0; for i=1:1000000 rand function generates a real number between 0 and 1 over a uniform distribution n = rand(); if n>(1-n) ratio = (1-n)/n; else ratio = n/(1-n); end sum = sum + ratio; end avg_ratio = sum/1000000.0; sprintf('Avg ratio: $.10f', avg_ratio) sprintf('21n2 -l: $.10f', 2*log (2)-1) Answers upto 10 decimals Avg ratio: 0.3863882882 Note: average ratio changes over time *21n2 -1: 0.3862943611 Command Window ans = Avg ratio: 0.3863882882 ans = 21n2 -1: 0.3862943611