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Exam details
A function (or rule) that assigns to every outcome in a sample space a non-negative probability, with the total probability over all outcomes summing (or integrating) to 1.
A distribution defined on a countable set of outcomes, specified by a probability mass function (PMF) p(x) with p(x) ≥ 0 and Σ p(x) = 1.
A function p(x) that gives the probability of a discrete random variable taking the value x; satisfies p(x) ≥ 0 for all x and Σ_x p(x) = 1.
A function f(x) for a continuous random variable such that P(a ≤ X ≤ b) = ∫_a^b f(x) dx, with f(x) ≥ 0 and ∫_{-∞}^{∞} f(x) dx = 1.
A function F(x) = P(X ≤ x). It is non-decreasing, right-continuous, lim_{x→-∞} F(x) = 0, and lim_{x→∞} F(x) = 1.