The Uniform Distribution Calculator computes the probability density, mean, and variance for a uniform distribution defined by a lower limit (a) and an upper limit (b). In this distribution, every value within the interval [a, b] is equally likely to occur, making it ideal for modeling random variables with constant probability. The calculator uses the formulas f(x)=1/(b−a)f(x) = 1/(b – a)f(x)=1/(b−a), μ=(a+b)/2\mu = (a + b)/2μ=(a+b)/2, and σ2=(b−a)2/12\sigma^2 = (b – a)^2/12σ2=(b−a)2/12 to provide quick and accurate results useful in probability theory, simulation modeling, and risk analysis.