APPENDIX A Tables TABLE A-1 Binomial Probabilities .01 .05 .10 .20 .980 .30 .40 .50 .903 .810 .60 .70 .80 .640 .490 .90 .95 .99 .020 .095 .360 .250 .160 .180 .320 .090 .040 .010 .003 .420 .480 .500 .003 .010 .480 .420 .320 .040 .090 .180 .095 .020 .970 .857 .160 .250 .360 .490 .729 .512 .640 .810 .903 .029 .343 .216 .125 980 2 .135 .243 .064 .027 .008 .001 .384 .441 0+ 0+ .007 .432 .375 .288 .189 .027 .096 .096 .027 .007 3 0+ .189 .288 .375 .432 1 0+ .001 .441 .384 .243 .135 4 .008 .027 .064 .029 .961 .815 .125 .216 .343 .512 .656 .410 .729 .857 .970 3 .240 .130 .063 .026 .039 .171 .008 .002 0+ .292 .410 412 0+ .001 .346 .250 .154 .076 .026 .014 .049 .004 .154 .265 .346 .375 1 3 0+ 0+ .346 .265 .154 .049 .014 .004 .026 .076 .001 0+ .154 .250 .346 .412 .410 0+ .002 .292 .171 .039 3 .008 .026 .063 .130 .951 .774 .590 .240 .410 .656 .815 .961 .328 .168 .078 4 1 .031 .010 .002 0+ .048 .204 .328 0+ 0+ .410 .360 .259 .156 .001 .077 .028 .006 0+ 0+ .021 .073 .205 0+ 1 .309 .346 .313 .230 3 0+ .132 .051 .008 .001 .001 .008 .051 .132 .230 .313 .346 4 0+ .309 .205 .073 .021 .001 0+ .006 .028 3 .077 .156 .259 .360 5 0+ 0+ .410 .328 .204 .048 4 0+ 0+ .002 .010 .031 .078 .168 .328 .590 .774 .941 .735 .531 .262 .118 .951 5 .047 .016 .004 .001 .057 .232 .354 .393 0+ .303 .187 .094 .037 .010 .002 0+ .001 .031 .098 .246 .324 .311 .234 .138 .060 .015 .001 +0 3 0+ .002 .015 0+ 2 .082 .185 .276 .312 .276 .185 .082 .015 .002 0+ 3 4 0+ .001 .015 .060 .138 .234 .311 .324 .246 .098 .031 .001 4 0+ 0+ .002 .010 .037 .094 .187 .303 .393 .354 .232 .057 5 0+ 0+ 0+ .001 .004 .016 .047 .118 .262 .531 .735 .941 7 .932 .698 .478 .210 .082 .028 .008 .002 0+ 0+ 0+ 0+ 0+ .066 .257 .372 .367 .247 .131 .055 .017 .004 0+ 0+ 2 .002 .041 .124 .275 .318 .261 .164 .077 .025 .004 0+ 0+ 2 3 0+ .004 .023 .115 .227 .290 .273 .194 .097 .029 .003 0+ 3 4 0+ .003 .029 .097 .194 .273 .290 .227 .115 .023 .004 4 0+ 0+ .004 .025 .077 .164 .261 .318 .275 .124 .041 .002 0+ 0+ 0+ .004 .017 .055 .131 .247 .367 .372 .257 .066 0+ 0+ 0+ 0+ .002 .008 .028 .082 .210 .478 .698 .932 .923 .663 .430 .168 .058 .017 .004 .001 0+ 0+ 0+ 0+ 0+ 1 .075 .279 .383 .336 .198 .090 .031 .008 .001 0+ 0+ 0+ +0 1 2 .003 .051 .149 .294 .296 .209 .109 .041 .010 .001 0+ 0+ 3 .005 .033 .147 .254 .279 .219 .124 .047 .009 0+ 0+ 3 4 0+ .005 .046 .136 .232 .273 .232 .136 .046 .005 4 0+ .009 .047 .124 .219 .279 .254 .147 .033 .005 0+ .001 .010 .041 .109 .209 .296 .294 .149 .051 .003 0+ 0+ .001 .008 .031 .090 .198 .336 .383 .279 .075 7 0+ .001 .004 .017 .058 .168 .430 .663 .923 8 NOTE: 0+ represents a positive probability value less than 0.0005. From Frederick C. Mosteller, Robert E. K. Rourke, and George B. Thomas, Jr., Probability with Statistical Applications, 2nd ed., © 1970. Reprinted and electronically reproduced by permission of Pearson Education, Inc., Upper Saddle River, New Jersey. 683 2. 3.

APPENDIX A Tables TABLE A-1 Binomial Probabilities .01 .05 .10 .20 .980 .30 .40 .50 .903 .810 .60 .70 .80 .640 .490 .90 .95 .99 .020 .095 .360 .250 .160 .180 .320 .090 .040 .010 .003 .420 .480 .500 .003 .010 .480 .420 .320 .040 .090 .180 .095 .020 .970 .857 .160 .250 .360 .490 .729 .512 .640 .810 .903 .029 .343 .216 .125 980 2 .135 .243 .064 .027 .008 .001 .384 .441 0+ 0+ .007 .432 .375 .288 .189 .027 .096 .096 .027 .007 3 0+ .189 .288 .375 .432 1 0+ .001 .441 .384 .243 .135 4 .008 .027 .064 .029 .961 .815 .125 .216 .343 .512 .656 .410 .729 .857 .970 3 .240 .130 .063 .026 .039 .171 .008 .002 0+ .292 .410 412 0+ .001 .346 .250 .154 .076 .026 .014 .049 .004 .154 .265 .346 .375 1 3 0+ 0+ .346 .265 .154 .049 .014 .004 .026 .076 .001 0+ .154 .250 .346 .412 .410 0+ .002 .292 .171 .039 3 .008 .026 .063 .130 .951 .774 .590 .240 .410 .656 .815 .961 .328 .168 .078 4 1 .031 .010 .002 0+ .048 .204 .328 0+ 0+ .410 .360 .259 .156 .001 .077 .028 .006 0+ 0+ .021 .073 .205 0+ 1 .309 .346 .313 .230 3 0+ .132 .051 .008 .001 .001 .008 .051 .132 .230 .313 .346 4 0+ .309 .205 .073 .021 .001 0+ .006 .028 3 .077 .156 .259 .360 5 0+ 0+ .410 .328 .204 .048 4 0+ 0+ .002 .010 .031 .078 .168 .328 .590 .774 .941 .735 .531 .262 .118 .951 5 .047 .016 .004 .001 .057 .232 .354 .393 0+ .303 .187 .094 .037 .010 .002 0+ .001 .031 .098 .246 .324 .311 .234 .138 .060 .015 .001 +0 3 0+ .002 .015 0+ 2 .082 .185 .276 .312 .276 .185 .082 .015 .002 0+ 3 4 0+ .001 .015 .060 .138 .234 .311 .324 .246 .098 .031 .001 4 0+ 0+ .002 .010 .037 .094 .187 .303 .393 .354 .232 .057 5 0+ 0+ 0+ .001 .004 .016 .047 .118 .262 .531 .735 .941 7 .932 .698 .478 .210 .082 .028 .008 .002 0+ 0+ 0+ 0+ 0+ .066 .257 .372 .367 .247 .131 .055 .017 .004 0+ 0+ 2 .002 .041 .124 .275 .318 .261 .164 .077 .025 .004 0+ 0+ 2 3 0+ .004 .023 .115 .227 .290 .273 .194 .097 .029 .003 0+ 3 4 0+ .003 .029 .097 .194 .273 .290 .227 .115 .023 .004 4 0+ 0+ .004 .025 .077 .164 .261 .318 .275 .124 .041 .002 0+ 0+ 0+ .004 .017 .055 .131 .247 .367 .372 .257 .066 0+ 0+ 0+ 0+ .002 .008 .028 .082 .210 .478 .698 .932 .923 .663 .430 .168 .058 .017 .004 .001 0+ 0+ 0+ 0+ 0+ 1 .075 .279 .383 .336 .198 .090 .031 .008 .001 0+ 0+ 0+ +0 1 2 .003 .051 .149 .294 .296 .209 .109 .041 .010 .001 0+ 0+ 3 .005 .033 .147 .254 .279 .219 .124 .047 .009 0+ 0+ 3 4 0+ .005 .046 .136 .232 .273 .232 .136 .046 .005 4 0+ .009 .047 .124 .219 .279 .254 .147 .033 .005 0+ .001 .010 .041 .109 .209 .296 .294 .149 .051 .003 0+ 0+ .001 .008 .031 .090 .198 .336 .383 .279 .075 7 0+ .001 .004 .017 .058 .168 .430 .663 .923 8 NOTE: 0+ represents a positive probability value less than 0.0005. From Frederick C. Mosteller, Robert E. K. Rourke, and George B. Thomas, Jr., Probability with Statistical Applications, 2nd ed., © 1970. Reprinted and electronically reproduced by permission of Pearson Education, Inc., Upper Saddle River, New Jersey. 683 2. 3.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....

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