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Card 3 / 3:
Exponential Distribution
A continuous random variable (RV) that appears when we are interested in the intervals of time between some random events, for example, the length of time between emergency arrivals at a hospital. Notation: X ~ Exp ( m ) . The mean is μ = 1 m and the standard deviation is σ = 1 m . The probability density function is f ( x ) = me − mx , x ≥ 0 and the cumulative distribution function is P ( X ≤ x ) = 1 − e − mx .
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