Exponential Distribution

Exponential distribution is a probability distribution that describes the time between events in a Poisson process, where events occur continuously and independently at a constant average rate. It is a continuous distribution that is commonly used in survival analysis, reliability engineering, and queuing theory. The exponential distribution is characterized by a single parameter, lambda (λ), which represents the rate parameter or the average number of events that occur in a unit of time. The probability density function of the exponential distribution is f(x) = λe^(-λx), where x is the time between events. The cumulative distribution function is F(x) = 1 - e^(-λx), which gives the probability that the time between events is less than or equal to x.
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