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The probability density function (PDF) for a continuous uniform distribution on the interval [a, b] is a constant value given by the formula f(x)=1b−af(x) = \frac{1}{b - a}. The numerator 1 represents the total probability of 100%, while the denominator b−ab - a is the length of the interval, calculated as the upper bound minus the lower bound.

Conditions: The distribution is continuous and uniform.; The random variable is defined on the closed interval [a, b].; The lower bound a is strictly less than the upper bound b.