For any positive constant
, one function
is a probability density function and the function
is the corresponding cumulative distribution function for x > 0.
(A distribution of this form is called an exponential distribution.)
This applet computes probabilities for this distribution, for a
specified choice of
.
How to use the applet
- In the table at the top, enter a value of
to specify the distribution,
and enter values for a
and b. All three values must be positive numbers, with
and
.
Note, these cells act like a spreadsheet application; to
change an entry, click on it, delete the current value, type a
new one, and then press enter.
- Below the table, plots of the probability density function,
,
and the cumulative distribution function,
,
are drawn according to the equations
and
.
You may choose to shade different regions of the probability density function,
,
, or
.
- You may update the region of interest by entering new
values of a and b into the table at the top.
The applet