1 / 3

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

ainsley-barton
Télécharger la présentation

Y Dosraniad Binomial

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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

More Related