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Card 12 / 13:
Geometric Distribution
a discrete random variable (RV) that arises from the Bernoulli trials; the trials are repeated until the first success. The geometric variable X is defined as the number of trials until the first success. Notation: X ~ G ( p ). The mean is μ = 1 p and the standard deviation is σ = 1 p ( 1 p − 1 ) . The probability of exactly x failures before the first success is given by the formula: P ( X = x ) = p (1 – p ) x – 1 .
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