MATLAB: Generate N observations from a uniform distribution on [0,1] and compare it to a threshold

homeworkMATLABoctave

We simulate this experiment by generating a logical array of
length N, with 1 (true) for "heads" and 0 (false) for "tails".
The problem is to generate the right number of 1s and 0s, so that
the percentage of 1s is p (60%). We shall do so in two ways.
N=1000; // number of coin tosses
p=0.6; // bias: percentage of 1s in the array
Method 1
Generate N observations from a uniform distribution on [0,1].
Threshold these observations at p. The resulting logical array
will have
1 if an observation was < p,
0 otherwise.

Best Answer

Here's another way. Let there be N1 trues and N0 falses.
x = [repmat(true,1,N1),repmat(false,1,N0)];
x = x(randperm(N1+N0));