MATLAB Assignment Samples –

Problem Statement : A stick of unit length is randomly split in two pieces. Estimate the average length of the short piece.

n= 10000;  % number of trials
total= 0;  % accumulated length of short pieces so far

for k= 1:n
    breakPt= rand;
    shortPiece= min(breakPt, 1-breakPt);
    total= total + shortPiece;
end

aveLength= total/n;
fprintf('Estimated average length is %.4f (%d trials)
', ...
        aveLength, n)

Problem Statement: Show screen output for the stick experiment in order to illustrate the for loop of the above assignment

clc
n= 10;     % number of trials
total= 0;  % accumulated length of short pieces so far

for k= 1:n
    fprintf('Top of loop.  k is %d. ', k)
    breakPt= rand;
    fprintf(' Split at %.2f. ', breakPt)
    shortPiece= min(breakPt, 1-breakPt);
    total= total + shortPiece;
    fprintf(' Bottom of loop.
')
    pause
end

aveLength= total/n;
fprintf('Estimated average length is %.4f (%d trials)
',...
        aveLength, n)

Problem Statement : Average 10 numbers from user input

n= 10;     % number of data values
total= 0;  % current sum (initialized to zero)
for k= 1:n
  % read and process input value
    num= input('Enter a number: ');
    total= total + num;
end
ave= total/n;  % average of n numbers
fprintf('Average is %f
', ave)

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