Gamma Probabilities and Quantiles
The applet below computes and displays tail probabilities for the gamma density function. When the page loads, the applet displays the results for Exercise 4.88 with alpha = 1 and beta = 2.4 (equivalent to an exponential distribution with lambda = 2.4). The displayed value is the probability that an earthquake will exceed 3.0 on the Richter scale.
Use the boxes to change alpha and beta to produce other gamma density functions and use the boxes for either x or prob to compute tail probabilities for other regions.
Mathematical Details
For y >= 0, the probability density function for the gamma distribution is defined by
where
