Exponential distribution probability density function

Gives the probability density of the exponential distribution, which models waiting times and lifetimes with a constant hazard rate. It is defined for x greater than or equal to zero, using the scale parameter beta, which equals the mean.

f(x) = \frac{e^{-x/\beta}}{\beta}

What the symbols mean

probability density at x
value of the random variable, with x \geq 0
scale parameter, equal to the mean (the reciprocal of the rate \lambda)

About this formula

  • FieldStatistics
  • TopicProbability distributions
  • LevelUniversity
  • Also calledexponential density, exponential distribution pdf, lifetime distribution density, exponential distribution formula, scale parameter exponential density, waiting time distribution density
  • SourceWikidata Q237193

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