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How to use the DiscreteRandomVariable class?

The reference manual talks about DiscreteRandomVariable class. But, I do not understand how it should be initialized? There are variables "X" and "f" but the docs do not explain what they are, nor there is any example...

How to use the DiscreteRandomVariable class?

The reference manual talks about DiscreteRandomVariable class. But, I do not understand how it should be initialized? There are variables "X" and "f" but the docs do not explain what they are, nor there is any example...

Additionally: is it possible to calculate functions on DiscreteRandomVariables? E.g, if X and Y are random variables, can I write "Z = X * Y" and have a new random variable Z?