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Uniform Distribution (Discrete)

Definition

The discrete uniform pdf is

y=f(x|N)=1NI(1,...,N)(x)

Background

The discrete uniform distribution is a simple distribution that puts equal weight on the integers from one to N.

Examples

Plot a Discrete Uniform Distribution cdf

As for all discrete distributions, the cdf is a step function. The plot shows the discrete uniform cdf for N = 10.

x = 0:10;
y = unidcdf(x,10);
figure;
stairs(x,y)
h = gca;
h.XLim = [0 11];

Generate Discrete Uniform Random Numbers

Pick a random sample of 10 from a list of 553 items.

rng default;  % for reproducibility
numbers = unidrnd(553,1,10)
numbers =

   451   501    71   506   350    54   155   303   530   534

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