Formula Sheet for STAT 100A Midterm Permutations: Combinations: Binomial Theorem: Famous Identity: Multinomial: Complementation Law: )(1)( APAPC Addition Law: )()()()( BAPBPAPBAP Conditional Probability: )()()|(BPBAPBAP If events A and B are Independent then If events A and B are Disjoint (Mutually Exclusive) then De Morgan Laws: Study the Generalized De Morgan' Laws and their proofs (more than two sets use induction). Expectation or Expected Value or Mean: xxxPXE )()( Variance: xxPxXEWhereXEXE )()(,)(222222 Standard Deviation: 2 Bayes Theorem: Continuous Random Variables: Chi-Squared
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