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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; the notation is 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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