Elementary Statistics

APPENDIX B Table 2—Binomial Distribution A9 Table 2—Binomial Distribution (continued) p n x .01 .05 .10 .15 .20 .25 .30 .35 .40 .45 .50 .55 .60 .65 .70 .75 .80 .85 .90 .95 10 0 .904 .599 .349 .197 .107 .056 .028 .014 .006 .003 .001 .000 .000 .000 .000 .000 .000 .000 .000 .000 1 .091 .315 .387 .347 .268 .188 .121 .072 .040 .021 .010 .004 .002 .000 .000 .000 .000 .000 .000 .000 2 .004 .075 .194 .276 .302 .282 .233 .176 .121 .076 .044 .023 .011 .004 .001 .000 .000 .000 .000 .000 3 .000 .010 .057 .130 .201 .250 .267 .252 .215 .166 .117 .075 .042 .021 .009 .003 .001 .000 .000 .000 4 .000 .001 .011 .040 .088 .146 .200 .238 .251 .238 .205 .160 .111 .069 .037 .016 .006 .001 .000 .000 5 .000 .000 .001 .008 .026 .058 .103 .154 .201 .234 .246 .234 .201 .154 .103 .058 .026 .008 .001 .000 6 .000 .000 .000 .001 .006 .016 .037 .069 .111 .160 .205 .238 .251 .238 .200 .146 .088 .040 .011 .001 7 .000 .000 .000 .000 .001 .003 .009 .021 .042 .075 .117 .166 .215 .252 .267 .250 .201 .130 .057 .010 8 .000 .000 .000 .000 .000 .000 .001 .004 .011 .023 .044 .076 .121 .176 .233 .282 .302 .276 .194 .075 9 .000 .000 .000 .000 .000 .000 .000 .000 .002 .004 .010 .021 .040 .072 .121 .188 .268 .347 .387 .315 10 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .001 .003 .006 .014 .028 .056 .107 .197 .349 .599 11 0 .895 .569 .314 .167 .086 .042 .020 .009 .004 .001 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 1 .099 .329 .384 .325 .236 .155 .093 .052 .027 .013 .005 .002 .001 .000 .000 .000 .000 .000 .000 .000 2 .005 .087 .213 .287 .295 .258 .200 .140 .089 .051 .027 .013 .005 .002 .001 .000 .000 .000 .000 .000 3 .000 .014 .071 .152 .221 .258 .257 .225 .177 .126 .081 .046 .023 .010 .004 .001 .000 .000 .000 .000 4 .000 .001 .016 .054 .111 .172 .220 .243 .236 .206 .161 .113 .070 .038 .017 .006 .002 .000 .000 .000 5 .000 .000 .002 .013 .039 .080 .132 .183 .221 .236 .226 .193 .147 .099 .057 .027 .010 .002 .000 .000 6 .000 .000 .000 .002 .010 .027 .057 .099 .147 .193 .226 .236 .221 .183 .132 .080 .039 .013 .002 .000 7 .000 .000 .000 .000 .002 .006 .017 .038 .070 .113 .161 .206 .236 .243 .220 .172 .111 .054 .016 .001 8 .000 .000 .000 .000 .000 .001 .004 .010 .023 .046 .081 .126 .177 .225 .257 .258 .221 .152 .071 .014 9 .000 .000 .000 .000 .000 .000 .001 .002 .005 .013 .027 .051 .089 .140 .200 .258 .295 .287 .213 .087 10 .000 .000 .000 .000 .000 .000 .000 .000 .001 .002 .005 .013 .027 .052 .093 .155 .236 .325 .384 .329 11 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .001 .004 .009 .020 .042 .086 .167 .314 .569 12 0 .886 .540 .282 .142 .069 .032 .014 .006 .002 .001 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 1 .107 .341 .377 .301 .206 .127 .071 .037 .017 .008 .003 .001 .000 .000 .000 .000 .000 .000 .000 .000 2 .006 .099 .230 .292 .283 .232 .168 .109 .064 .034 .016 .007 .002 .001 .000 .000 .000 .000 .000 .000 3 .000 .017 .085 .172 .236 .258 .240 .195 .142 .092 .054 .028 .012 .005 .001 .000 .000 .000 .000 .000 4 .000 .002 .021 .068 .133 .194 .231 .237 .213 .170 .121 .076 .042 .020 .008 .002 .001 .000 .000 .000 5 .000 .000 .004 .019 .053 .103 .158 .204 .227 .223 .193 .149 .101 .059 .029 .011 .003 .001 .000 .000 6 .000 .000 .000 .004 .016 .040 .079 .128 .177 .212 .226 .212 .177 .128 .079 .040 .016 .004 .000 .000 7 .000 .000 .000 .001 .003 .011 .029 .059 .101 .149 .193 .223 .227 .204 .158 .103 .053 .019 .004 .000 8 .000 .000 .000 .000 .001 .002 .008 .020 .042 .076 .121 .170 .213 .237 .231 .194 .133 .068 .021 .002 9 .000 .000 .000 .000 .000 .000 .001 .005 .012 .028 .054 .092 .142 .195 .240 .258 .236 .172 .085 .017 10 .000 .000 .000 .000 .000 .000 .000 .001 .002 .007 .016 .034 .064 .109 .168 .232 .283 .292 .230 .099 11 .000 .000 .000 .000 .000 .000 .000 .000 .000 .001 .003 .008 .017 .037 .071 .127 .206 .301 .377 .341 12 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .001 .002 .006 .014 .032 .069 .142 .282 .540 15 0 .860 .463 .206 .087 .035 .013 .005 .002 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 1 .130 .366 .343 .231 .132 .067 .031 .013 .005 .002 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 2 .009 .135 .267 .286 .231 .156 .092 .048 .022 .009 .003 .001 .000 .000 .000 .000 .000 .000 .000 .000 3 .000 .031 .129 .218 .250 .225 .170 .111 .063 .032 .014 .005 .002 .000 .000 .000 .000 .000 .000 .000 4 .000 .005 .043 .116 .188 .225 .219 .179 .127 .078 .042 .019 .007 .002 .001 .000 .000 .000 .000 .000 5 .000 .001 .010 .045 .103 .165 .206 .212 .186 .140 .092 .051 .024 .010 .003 .001 .000 .000 .000 .000 6 .000 .000 .002 .013 .043 .092 .147 .191 .207 .191 .153 .105 .061 .030 .012 .003 .001 .000 .000 .000 7 .000 .000 .000 .003 .014 .039 .081 .132 .177 .201 .196 .165 .118 .071 .035 .013 .003 .001 .000 .000 8 .000 .000 .000 .001 .003 .013 .035 .071 .118 .165 .196 .201 .177 .132 .081 .039 .014 .003 .000 .000 9 .000 .000 .000 .000 .001 .003 .012 .030 .061 .105 .153 .191 .207 .191 .147 .092 .043 .013 .002 .000 10 .000 .000 .000 .000 .000 .001 .003 .010 .024 .051 .092 .140 .186 .212 .206 .165 .103 .045 .010 .001 11 .000 .000 .000 .000 .000 .000 .001 .002 .007 .019 .042 .078 .127 .179 .219 .225 .188 .116 .043 .005 12 .000 .000 .000 .000 .000 .000 .000 .000 .002 .005 .014 .032 .063 .111 .170 .225 .250 .218 .129 .031 13 .000 .000 .000 .000 .000 .000 .000 .000 .000 .001 .003 .009 .022 .048 .092 .156 .231 .286 .267 .135 14 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .002 .005 .013 .031 .067 .132 .231 .343 .366 15 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .002 .005 .013 .035 .087 .206 .463

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