Plots of the exponential distribution

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 $\lambda $ is changed.

Density plots

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 $\lambda =1$. The second graph (red line) is the probability density function of an exponential random variable with rate parameter $\lambda =2$. By increasing the rate parameter, we decrease the mean of the distribution (from 1 to $\frac{1}{2}$). The thin vertical lines indicate the means of the two distributions.

Exponential density plot 1

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