Gamma Probability Distributions With Microsoft Excel

Want to work with gamma probabilityThe function returns the value 0.007774.
distributions? But a quick explanation is order ifUsing the GAMMAINV Fucntion
you're not familiar with this powerful statisticalIf you have been given a probability and want to
concept and technique. Here's the situation: If afind x, you use the GAMMAINV function,which has
Poisson process produces successes at athe following syntax:
constant rate of m per unit of time, then the=GAMMAINV (probability, alpha, beta)
random variable x, the elapsed time until the rthFor example, if the probability equals .5, alpha
success, follows the gamma distribution.equals 8, and beta equals 9, you use the
The gamma distribution is often used tofollowingformula:
determine the amount of time it takes for the rth=GAMMAINV (.5,8,9)
person to arrive in a line.The function returns the value 69.02.
Using the GAMMADIST FunctionUsing the GAMMALN Function
If you know x and want to find the probability,You use the GAMMALN function to find the
you use the GAMMADIST function, whichhas thenatural logarithm of the gamma function, G(x).
following syntax:The GAMMALN function uses the following syntax:
=GAMMADIST(x, alpha, beta, cumulative)=GAMMALN(x)
For example, if x equals 25, alpha equals 8, betaFor example, if x equals 25, you use the following
equals 9, and cumulatative is TRUE, youuse theformula:
following formula:=GAMMALN(25)
=GAMMADIST (25,8,9,TRUE)The function returns the value 54.78.