Binomial Distributions

# Binomial Distributions - x (1-p) (20-x) 18...

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THE COMPARISON DISTRIBUTION FOR THE FLIP OF A THE BINOMIAL DISTRIBUTION: IF THE PROBABILITY O IS p, THE PROBABILITY OF A FAILURE IS 1 - p, AND TH THEN THE PROBABILITY OF x SUCCESSES IN n TRIAL PR(x, n) = {n! /[ x! (n-x)!]} px(1-p)(n-x) FOR 20 FLIPS OF A FAIR COIN, WHERE HEADS IS A SU p = 0.5 PR(X= 0)= 0.00000095367431640625 1 0.00001907348632812500 2 0.00018119812011718800 3 0.00108718872070313000 4 0.00462055206298828000 5 0.01478576660156250000 6 0.03696441650390620000 7 0.07392883300781250000 8 0.12013435363769500000 9 0.16017913818359400000 10 0.17619705200195300000 11 0.16017913818359400000 12 0.12013435363769500000 13 0.07392883300781250000 14 0.03696441650390620000 15 0.01478576660156250000 16 0.00462055206298828000 17 0.00108718872070313000 PR(x, 20) = {20! /[ x! (20-x)!]} p

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Unformatted text preview: x (1-p) (20-x) 18 0.00018119812011718800 19 0.00001907348632812500 20 0.00000095367431640625 FAIR COIN 20 TIMES OF A SUCCESS ON A SINGLE TRIAL HE TRIALS ARE INDEPENDENT, LS IS UCCESS, cumulative 0.00000095367431640625 0.00002002716064453120 0.00020122528076171900 0.00128841400146484000 0.00590896606445313000 0.02069473266601560000 0.05765914916992190000 0.13158798217773400000 0.25172233581543000000 0.41190147399902300000 0.58809852600097700000 0.74827766418457000000 0.86841201782226600000 0.94234085083007800000 0.97930526733398400000 0.99409103393554700000 0.99871158599853500000 0.99979877471923800000 0.99997997283935600000 0.99999904632568400000 1.00000000000000000000...
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## This note was uploaded on 03/04/2009 for the course PSYCH 240 taught by Professor Harvey during the Spring '08 term at UMass (Amherst).

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Binomial Distributions - x (1-p) (20-x) 18...

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