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Discrete uniform cumulative distribution function


p = unidcdf(x,N)
p = unidcdf(x,N,'upper')


p = unidcdf(x,N) returns the discrete uniform cdf at each value in x using the corresponding maximum observable value in N. x and N can be vectors, matrices, or multidimensional arrays that have the same size. A scalar input is expanded to a constant array with the same dimensions as the other inputs. The maximum observable values in N must be positive integers.

p = unidcdf(x,N,'upper') returns the complement of the discrete uniform cdf at each value in x, using an algorithm that more accurately computes the extreme upper tail probabilities.

The discrete uniform cdf is

The result, p, is the probability that a single observation from the discrete uniform distribution with maximum N will be a positive integer less than or equal to x. The values x do not need to be integers.


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Compute Discrete Uniform Distribution cdf

What is the probability of drawing a number 20 or less from a hat with the numbers from 1 to 50 inside?

probability = unidcdf(20,50)
probability =

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