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Discrete
Assuming that "piossion" refers to Poisson, they are simply different probability distributions that are applicable in different situations.
The triangular, uniform, binomial, Poisson, geometric, exponential and Gaussian distributions are some that can be so defined. In fact, the Poisson and exponential need only the mean.
Yes.
There is no such thing. The Normal (or Gaussian) and Binomial are two distributions.