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Card 4 / 4:
Uniform Distribution
A continuous random variable (RV) that has equally likely outcomes over the domain, a < x < b . Often referred as the Rectangular distribution because the graph of the pdf has the form of a rectangle. Notation: X ~ U ( a , b ) . The mean is μ = a + b 2 and the standard deviation is σ ( b - a ) 2 12 The probability density function is f x = 1 b - a for a x b or a x b . The cumulative distribution is P ( X ≤ x ) = x − a b − a .
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