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Notation (,)Parameters {,,, …} – number of trials[,] – success probability for each trial= Support {,, …,} – number of successesPMF ()CDF ...
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In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.According to the theorem, the power (+) expands into a polynomial with terms of the form , where the exponents and are nonnegative integers satisfying + = and the coefficient of each term is a specific positive integer ...
The SS United States was poised to set sail at the end of last year on her final voyage from Philadelphia to the bottom of the Gulf of Mexico to become an artificial reef. But Coast Guard concerns ...
where the power series on the right-hand side of is expressed in terms of the (generalized) binomial coefficients ():= () (+)!.Note that if α is a nonnegative integer n then the x n + 1 term and all later terms in the series are 0, since each contains a factor of (n − n).