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.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Using table A-1 for a Binomial
a) probability of x = exactly 7 successes
b) probability that x successes is fewer than 3
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