# HP 49g+ User Manual Page 556

Graphing calculator.

The corresponding (cumulative) distribution function (cdf) would be given by
an integral that has no closed-form solution.
The exponential distribution
The exponential distribution is the gamma distribution with a = 1. Its pdf is
given by
f
(
x
)
while its cdf is given by F(x) = 1 - exp(-x/β), for x>0, β >0.
The beta distribution
The pdf for the gamma distribution is given by
(
α
β
)
f
(
x
)
(
α
)
(
β
As in the case of the gamma distribution, the corresponding cdf for the beta
distribution is also given by an integral with no closed-form solution.
The Weibull distribution
The pdf for the Weibull distribution is given by
f
(
x
)
α
β
x
While the corresponding cdf is given by
F
(
x
)
1
Functions for continuous distributions
To define a collection of functions corresponding to the gamma, exponential,
beta, and Weibull distributions, first create a sub-directory called CFUN
1
x
exp(
),
for
β
β
α
1
β
1
x
1 (
x
)
,
for
)
β
1 −
β
exp(
α
x
),
for
β
exp(
α
x
),
for
x
x
, 0
β
0
,
0
x
, 1
α
, 0
β
x
, 0
α
, 0
β
0
, 0
α
, 0
β
0
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