MATLAB code to Generate Uniform Random Variable

[neeraj.patel1]

Homework Statement

Generate 1,00,000 triplets(sets of three) of Uniform random variables on [0,1]. Y be max of each triple and Z be min of each triple. Derive the densities for these RV from theory and compare histograms of Y and Z with densities found in theory.

Homework Equations

rand()
hist()

The Attempt at a Solution

for i=1:100000
for j=1:3
{
a[j]=rand(1)
}
r=max(a[j],a[j+1])
mx=(r,a[j+2])
...
min...

 

[Valkarie]

...endY=mxZ=mnhist(Y,50)hist(Z,50)The densities of Y and Z can be derived theoretically by taking the cumulative distribution functions of the Uniform random variables on [0,1] and then differentiating them to obtain the density. The densities of Y and Z will both be equal to 1. The histograms of Y and Z should show uniform distribution with the same densities obtained from theory.