uniform distribution

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The uniform distribution on the interval [a, b] is the continuous probability distribution whose probability density function f is given by f(x)=1/(ba), where axb. It has mean (a+b)/2 and variance (ba)2/12. There is also a discrete form: on the set 1, 2,…, n, it is the probability distribution whose probability mass function is given by Pr(X=r)=1/2, for r=1, 2,…, n. For example, the random variable for the winning number in a lottery has a uniform distribution on the set of all the numbers entered in the lottery.

Subjects: Probability and Statistics.

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