13.3: The Binomial Distribtution Table for n = 16 to n = 18
- Page ID
- 58326
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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 = 16 to n = 18
| 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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 16 | 0 | 0.440 | 0.185 | 0.028 | 0.003 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| 1 | 0.371 | 0.329 | 0.113 | 0.023 | 0.003 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | |
| 2 | 0.146 | 0.275 | 0.211 | 0.073 | 0.015 | 0.002 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | |
| 3 | 0.036 | 0.142 | 0.246 | 0.146 | 0.047 | 0.009 | 0.001 | 0.000 | 0.000 | 0.000 | 0.000 | |
| 4 | 0.006 | 0.051 | 0.200 | 0.204 | 0.101 | 0.028 | 0.004 | 0.000 | 0.000 | 0.000 | 0.000 | |
| 5 | 0.001 | 0.014 | 0.120 | 0.210 | 0.162 | 0.067 | 0.014 | 0.001 | 0.000 | 0.000 | 0.000 | |
| 6 | 0.000 | 0.003 | 0.055 | 0.165 | 0.198 | 0.122 | 0.039 | 0.006 | 0.000 | 0.000 | 0.000 | |
| 7 | 0.000 | 0.000 | 0.020 | 0.101 | 0.189 | 0.175 | 0.084 | 0.019 | 0.001 | 0.000 | 0.000 | |
| 8 | 0.000 | 0.000 | 0.006 | 0.049 | 0.142 | 0.196 | 0.142 | 0.049 | 0.006 | 0.000 | 0.000 | |
| 9 | 0.000 | 0.000 | 0.001 | 0.019 | 0.084 | 0.175 | 0.189 | 0.101 | 0.020 | 0.000 | 0.000 | |
| 10 | 0.000 | 0.000 | 0.000 | 0.006 | 0.039 | 0.122 | 0.198 | 0.165 | 0.055 | 0.003 | 0.000 | |
| 11 | 0.000 | 0.000 | 0.000 | 0.001 | 0.014 | 0.067 | 0.162 | 0.210 | 0.120 | 0.014 | 0.001 | |
| 12 | 0.000 | 0.000 | 0.000 | 0.000 | 0.004 | 0.028 | 0.101 | 0.204 | 0.200 | 0.051 | 0.006 | |
| 13 | 0.000 | 0.000 | 0.000 | 0.000 | 0.001 | 0.009 | 0.047 | 0.146 | 0.246 | 0.142 | 0.036 | |
| 14 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.002 | 0.015 | 0.073 | 0.211 | 0.275 | 0.146 | |
| 15 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.003 | 0.023 | 0.113 | 0.329 | 0.371 | |
| 16 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.003 | 0.028 | 0.185 | 0.440 | |
| 17 | 0 | 0.418 | 0.167 | 0.023 | 0.002 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| 1 | 0.374 | 0.315 | 0.096 | 0.017 | 0.002 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | |
| 2 | 0.158 | 0.280 | 0.191 | 0.058 | 0.010 | 0.001 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | |
| 3 | 0.041 | 0.156 | 0.239 | 0.125 | 0.034 | 0.005 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | |
| 4 | 0.008 | 0.060 | 0.209 | 0.187 | 0.080 | 0.018 | 0.002 | 0.000 | 0.000 | 0.000 | 0.000 | |
| 5 | 0.001 | 0.017 | 0.136 | 0.208 | 0.138 | 0.047 | 0.008 | 0.001 | 0.000 | 0.000 | 0.000 | |
| 6 | 0.000 | 0.004 | 0.068 | 0.178 | 0.184 | 0.094 | 0.024 | 0.003 | 0.000 | 0.000 | 0.000 | |
| 7 | 0.000 | 0.001 | 0.027 | 0.120 | 0.193 | 0.148 | 0.057 | 0.009 | 0.000 | 0.000 | 0.000 | |
| 8 | 0.000 | 0.000 | 0.008 | 0.064 | 0.161 | 0.185 | 0.107 | 0.028 | 0.002 | 0.000 | 0.000 | |
| 9 | 0.000 | 0.000 | 0.002 | 0.028 | 0.107 | 0.185 | 0.161 | 0.064 | 0.008 | 0.000 | 0.000 | |
| 10 | 0.000 | 0.000 | 0.000 | 0.009 | 0.057 | 0.148 | 0.193 | 0.120 | 0.027 | 0.001 | 0.000 | |
| 11 | 0.000 | 0.000 | 0.000 | 0.003 | 0.024 | 0.094 | 0.184 | 0.178 | 0.068 | 0.004 | 0.000 | |
| 12 | 0.000 | 0.000 | 0.000 | 0.001 | 0.008 | 0.047 | 0.138 | 0.208 | 0.136 | 0.017 | 0.001 | |
| 13 | 0.000 | 0.000 | 0.000 | 0.000 | 0.002 | 0.018 | 0.080 | 0.187 | 0.209 | 0.060 | 0.008 | |
| 14 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.005 | 0.034 | 0.125 | 0.239 | 0.156 | 0.041 | |
| 15 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.001 | 0.010 | 0.058 | 0.191 | 0.280 | 0.158 | |
| 16 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.002 | 0.017 | 0.096 | 0.315 | 0.374 | |
| 17 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.002 | 0.023 | 0.167 | 0.418 | |
| 18 | 0 | 0.397 | 0.150 | 0.018 | 0.002 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| 1 | 0.376 | 0.300 | 0.081 | 0.013 | 0.001 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | |
| 2 | 0.168 | 0.284 | 0.172 | 0.046 | 0.007 | 0.001 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | |
| 3 | 0.047 | 0.168 | 0.230 | 0.105 | 0.025 | 0.003 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | |
| 4 | 0.009 | 0.070 | 0.215 | 0.168 | 0.061 | 0.012 | 0.001 | 0.000 | 0.000 | 0.000 | 0.000 | |
| 5 | 0.001 | 0.022 | 0.151 | 0.202 | 0.115 | 0.033 | 0.004 | 0.000 | 0.000 | 0.000 | 0.000 | |
| 6 | 0.000 | 0.005 | 0.082 | 0.187 | 0.166 | 0.071 | 0.015 | 0.001 | 0.000 | 0.000 | 0.000 | |
| 7 | 0.000 | 0.001 | 0.035 | 0.138 | 0.189 | 0.121 | 0.037 | 0.005 | 0.000 | 0.000 | 0.000 | |
| 8 | 0.000 | 0.000 | 0.012 | 0.081 | 0.173 | 0.167 | 0.077 | 0.015 | 0.001 | 0.000 | 0.000 | |
| 9 | 0.000 | 0.000 | 0.003 | 0.039 | 0.128 | 0.185 | 0.128 | 0.039 | 0.003 | 0.000 | 0.000 | |
| 10 | 0.000 | 0.000 | 0.001 | 0.015 | 0.077 | 0.167 | 0.173 | 0.081 | 0.012 | 0.000 | 0.000 | |
| 11 | 0.000 | 0.000 | 0.000 | 0.005 | 0.037 | 0.121 | 0.189 | 0.138 | 0.035 | 0.001 | 0.000 | |
| 12 | 0.000 | 0.000 | 0.000 | 0.001 | 0.015 | 0.071 | 0.166 | 0.187 | 0.082 | 0.005 | 0.000 | |
| 13 | 0.000 | 0.000 | 0.000 | 0.000 | 0.004 | 0.033 | 0.115 | 0.202 | 0.151 | 0.022 | 0.001 | |
| 14 | 0.000 | 0.000 | 0.000 | 0.000 | 0.001 | 0.012 | 0.061 | 0.168 | 0.215 | 0.070 | 0.009 | |
| 15 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.003 | 0.025 | 0.105 | 0.230 | 0.168 | 0.047 | |
| 16 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.001 | 0.007 | 0.046 | 0.172 | 0.284 | 0.168 | |
| 17 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.001 | 0.013 | 0.081 | 0.300 | 0.376 | |
| 18 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.002 | 0.018 | 0.150 | 0.397 |