The discrete random variable almost always arises in connection with counting.
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It is a discrete random variable.
yes?
The random variable is discrete
A discrete random variable is a variable that can only take some selected values. The values that it can take may be infinite in number (eg the counting numbers), but unlike a continuous random variable, it cannot take any value in between valid results.
It is a function that gives the probabilities associated with the discrete number of values that a random variable can take.