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PMF
Pr(X=x)
the sum of all probabilities
1
non-negative
the probability of any realization of a value in the support must be
CDF
Pr(X ≤ x)
Survival function (SF)
Pr(X > x)
expected value
xpx(x)
variance
(x-µx)²px(x) OR E(X²) - E(X)²
Bernoulli expected value
1 x p + 0 x (1-p)
Bernoulli variance
1² x p + 0² x (1-p)