13.4: The Binomial Distribution Table for n = 19 to n = 20
- Page ID
- 58327
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)The Binomial Distribution Table for n = 19 to n = 20
| n | X | p=0.05 | p=0.1 | p=0.2 | p=0.3 | p=0.4 | p=0.5 | p=0.6 | p=0.7 | p=0.8 | p=0.9 | p=0.95 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 19 | 0 | 0.377 | 0.135 | 0.014 | 0.001 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| 1 | 0.377 | 0.285 | 0.068 | 0.009 | 0.001 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | |
| 2 | 0.179 | 0.285 | 0.154 | 0.036 | 0.005 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | |
| 3 | 0.053 | 0.180 | 0.218 | 0.087 | 0.017 | 0.002 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | |
| 4 | 0.011 | 0.080 | 0.218 | 0.149 | 0.047 | 0.007 | 0.001 | 0.000 | 0.000 | 0.000 | 0.000 | |
| 5 | 0.002 | 0.027 | 0.164 | 0.192 | 0.093 | 0.022 | 0.002 | 0.000 | 0.000 | 0.000 | 0.000 | |
| 6 | 0.000 | 0.007 | 0.095 | 0.192 | 0.145 | 0.052 | 0.008 | 0.001 | 0.000 | 0.000 | 0.000 | |
| 7 | 0.000 | 0.001 | 0.044 | 0.153 | 0.180 | 0.096 | 0.024 | 0.002 | 0.000 | 0.000 | 0.000 | |
| 8 | 0.000 | 0.000 | 0.017 | 0.098 | 0.180 | 0.144 | 0.053 | 0.008 | 0.000 | 0.000 | 0.000 | |
| 9 | 0.000 | 0.000 | 0.005 | 0.051 | 0.146 | 0.176 | 0.098 | 0.022 | 0.001 | 0.000 | 0.000 | |
| 10 | 0.000 | 0.000 | 0.001 | 0.022 | 0.098 | 0.176 | 0.146 | 0.051 | 0.005 | 0.000 | 0.000 | |
| 11 | 0.000 | 0.000 | 0.000 | 0.008 | 0.053 | 0.144 | 0.180 | 0.098 | 0.017 | 0.000 | 0.000 | |
| 12 | 0.000 | 0.000 | 0.000 | 0.002 | 0.024 | 0.096 | 0.180 | 0.153 | 0.044 | 0.001 | 0.000 | |
| 13 | 0.000 | 0.000 | 0.000 | 0.001 | 0.008 | 0.052 | 0.145 | 0.192 | 0.095 | 0.007 | 0.000 | |
| 14 | 0.000 | 0.000 | 0.000 | 0.000 | 0.002 | 0.022 | 0.093 | 0.192 | 0.164 | 0.027 | 0.002 | |
| 15 | 0.000 | 0.000 | 0.000 | 0.000 | 0.001 | 0.007 | 0.047 | 0.149 | 0.218 | 0.080 | 0.011 | |
| 16 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.002 | 0.017 | 0.087 | 0.218 | 0.180 | 0.053 | |
| 17 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.005 | 0.036 | 0.154 | 0.285 | 0.179 | |
| 18 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.001 | 0.009 | 0.068 | 0.285 | 0.377 | |
| 19 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.001 | 0.014 | 0.135 | 0.377 | |
| 20 | 0 | 0.358 | 0.122 | 0.012 | 0.001 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| 1 | 0.377 | 0.270 | 0.058 | 0.007 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | |
| 2 | 0.189 | 0.285 | 0.137 | 0.028 | 0.003 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | |
| 3 | 0.060 | 0.190 | 0.205 | 0.072 | 0.012 | 0.001 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | |
| 4 | 0.013 | 0.090 | 0.218 | 0.130 | 0.035 | 0.005 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | |
| 5 | 0.002 | 0.032 | 0.175 | 0.179 | 0.075 | 0.015 | 0.001 | 0.000 | 0.000 | 0.000 | 0.000 | |
| 6 | 0.000 | 0.009 | 0.109 | 0.192 | 0.124 | 0.037 | 0.005 | 0.000 | 0.000 | 0.000 | 0.000 | |
| 7 | 0.000 | 0.002 | 0.055 | 0.164 | 0.166 | 0.074 | 0.015 | 0.001 | 0.000 | 0.000 | 0.000 | |
| 8 | 0.000 | 0.000 | 0.022 | 0.114 | 0.180 | 0.120 | 0.035 | 0.004 | 0.000 | 0.000 | 0.000 | |
| 9 | 0.000 | 0.000 | 0.007 | 0.065 | 0.160 | 0.160 | 0.071 | 0.012 | 0.000 | 0.000 | 0.000 | |
| 10 | 0.000 | 0.000 | 0.002 | 0.031 | 0.117 | 0.176 | 0.117 | 0.031 | 0.002 | 0.000 | 0.000 | |
| 11 | 0.000 | 0.000 | 0.000 | 0.012 | 0.071 | 0.160 | 0.160 | 0.065 | 0.007 | 0.000 | 0.000 | |
| 12 | 0.000 | 0.000 | 0.000 | 0.004 | 0.035 | 0.120 | 0.180 | 0.114 | 0.022 | 0.000 | 0.000 | |
| 13 | 0.000 | 0.000 | 0.000 | 0.001 | 0.015 | 0.074 | 0.166 | 0.164 | 0.055 | 0.002 | 0.000 | |
| 14 | 0.000 | 0.000 | 0.000 | 0.000 | 0.005 | 0.037 | 0.124 | 0.192 | 0.109 | 0.009 | 0.000 | |
| 15 | 0.000 | 0.000 | 0.000 | 0.000 | 0.001 | 0.015 | 0.075 | 0.179 | 0.175 | 0.032 | 0.002 | |
| 16 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.005 | 0.035 | 0.130 | 0.218 | 0.090 | 0.013 | |
| 17 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.001 | 0.012 | 0.072 | 0.205 | 0.190 | 0.060 | |
| 18 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.003 | 0.028 | 0.137 | 0.285 | 0.189 | |
| 19 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.007 | 0.058 | 0.270 | 0.377 | |
| 20 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.001 | 0.012 | 0.122 | 0.358 |
Author
"13.4: The Binomial Distribution Table for n = 19 to n = 20" by Alfie Swan is in the Public Domain, CC0