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A function ( X: S \to \mathbbR ). ( F_X(x) = P(X \leq x) ) PDF (continuous): ( f_X(x) = \fracddxF_X(x) ) PMF (discrete): ( p_X(x_k) = P(X = x_k) )

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Mastering probability and random processes requires active problem-solving rather than passive reading. A function ( X: S \to \mathbbR )

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