Exponential Command
From GeoGebra Manual
- Exponential[ <Rate parameter λ>, x ]
- Creates probability density function (pdf) of exponential distribution with rate parameter λ.
- Exponential[ <Rate parameter λ>, x, <Boolean Cumulative> ]
- If Cumulative is true, creates cumulative distribution function (cdf) of exponential distribution, otherwise creates pdf of Exponential distribution.
- Exponential[ <Rate parameter λ>, <Variable Value v> ]
- Calculates the value of cumulative distribution function of Exponential distribution at v, i.e. the probability P(X≤v) where X is a random variable with Exponential distribution with rate parameter λ.
- Note: Returns the probability for a given x-coordinate's value (or area under the Exponential distribution curve to the left of the given x-coordinate).
CAS Syntax
In CAS View only following syntax is supported:
- Exponential[ <Rate parameter λ>, <Variable Value v>]
- Calculates the value of cumulative distribution function of exponential distribution at v, i.e. the probability P(X≤v) where X is a random variable with Exponential distribution with rate parameter λ.
- Example:
Exponential[2, 1]
gives \frac{e^{2}-1}{e^{2} } , which is approximately 0.86.