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Card 3 / 3:
Uniform Distribution
Continuous random variable (RV) that appears to have equally likely outcomes over the domain, a < x < b . Often referred as Rectangular distribution because graph of its pdf has form of rectangle. Notation: X ~ U ( a , b ) . The mean is μ = a + b 2 , and the variance is σ 2 = ( b − a ) 2 12 , the probability density function is f ( x ) = 1 b − a , a ≤ X ≤ b , and cumulative distribution is P ( X ≤ x ) = x − a b − a .
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