This page collects some plots of the exponential distribution. The plots help
us to understand how the shape of the exponential distribution changes when
the rate parameter
is changed.
The following plot contains the graphs of two exponential
probability density functions. The first graph
(blue line) is the probability density function of an exponential random
variable with rate parameter
.
The second graph (red line) is the probability density function of an
exponential random variable with rate parameter
.
By increasing the rate parameter, we decrease the
mean of the distribution (from
to
).
The thin vertical lines indicate the means of
the two distributions.