Quickly calculate the probability density function (PDF), cumulative distribution function (CDF), and survival probability for the Exponential Distribution. Simply input your rate parameter (λ) and observed value (x) to get instant results for modeling continuous random variables.
Formula:
The Exponential Distribution is a continuous probability distribution often used to model the time until an event occurs. Key formulas are:
Probability Density Function (PDF): f(x; λ) = λe-λx
Cumulative Distribution Function (CDF): P(X ≤ x) = 1 - e-λx
Survival Function (Complementary CDF): P(X > x) = e-λx
Where:
- x: The observed value (time or interval).
- λ (lambda): The rate parameter (1/mean), representing the average number of events per unit time.
- e: Euler's number (approximately 2.71828).