Following is an interactive 3-D diagram of the joint pmf \(p\). Note that it encodes the same information as in the table, where the height of a bar indicates a probability. You can rotate the diagram ...

In this lesson we shall look at another way to represent a distribution - a probability mass function (pmf), which maps from each value to its probability. Recall that PMFs are exclusive to discrete ...

Unlike for probability mass functions, the probability density function cannot be interpreted directly as a probability. Instead, ... Following is an interactive 3-D diagram of this joint cdf \(F\).