Exponential distribution Probabilities
Calculator of Exponential distribution : probabilities, density function (PDF) and cumulative density function (CDF).
Exponential Distribution formulas
X : a random variable following a Exponential distribution of parameter `lambda > 0`.
Probability Density Function (PDF)
`f(x) = lambda*exp(-lambda*x)` for `x >= 0`
Cumulative distribution function (CDF)
`F(x) = \int_-oo^x f(t)\ dt`
`F(x) = 1-exp(-lambda*x)` for `x >= 0`
Probabilities
Probability that X is greater than a :
`P(X > a) = 1 - F(a)`
Probability that X is less than b :
`P(X < b) = F(b)`
Probability that X lies between a and b :
`P(a < X < b) = F(b) - F(a)`
See also
Inverse Exponential distribution
Exponential distribution Chart
Statistics Calculators