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Y Dosraniad Binomial

Y Dosraniad Binomial. Cymedr ac amrywiant Dosraniad Binomial. X ~ B ( n , p ). Cymedr yr hapnewidyn yw gwerth disgwyliedig X. E(X) = np. Amrywiant yr hapnewidyn X Var (X) = npq (q = 1 - p). Y Gwyriad Safonol √Var (X) = √(npq) (q = 1 - p). Enghraifft

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Y Dosraniad Binomial

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  1. Y Dosraniad Binomial Cymedr ac amrywiant Dosraniad Binomial X ~ B ( n , p ) Cymedr yr hapnewidyn yw gwerth disgwyliedig X. E(X) = np Amrywiant yr hapnewidyn X Var (X) = npq (q = 1 - p) Y Gwyriad Safonol √Var (X) = √(npq) (q = 1 - p)

  2. Enghraifft • Mae gan X ddosraniad Binomial lle mae’r nifer yn 30 a’r tebygolrwydd o lwyddiant yn 0.4. • Darganfyddwch • y cymedr, • y gwyriad safonol, cymedr ac amrywiant Y pan mae • Y = 3X + 4 X ~ B ( 30 , 0.4 ) a) E(X) = np = 30 x 0.4 = 12 b) √Var (X) = √npq = √(30 x 0.4 x 0.6) = √7.2 = 2.68

  3. X ~ B ( 30 , 0.4 ) = 3E(X) + 4 = 3 x 12 + 4 = 40 c) E(Y) = E(3x + 4) Var(Y) = Var(3x + 4) = 32 Var(X) = 9 x 7.2 = 64.8 Ymarfer 4.5c Mathemateg - Ystadegaeth Uned S1 – CBAC

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