It is a function that gives the probabilities associated with the discrete number of values that a random variable can take.
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The Poisson distribution is discrete.
They are probability distributions!
Half the discrete unit.
A discrete probability distribution is defined over a set value (such as a value of 1 or 2 or 3, etc). A continuous probability distribution is defined over an infinite number of points (such as all values between 1 and 3, inclusive).
The sum should equal to 1.