Forty-five percent of consumers say it is important that the clothing they buy is made without child labor. You randomly select 16 consumers. Find the probability that the number of of consumers who say it is important that the clothing they buy is made without child labor is

(a) exactly eight,

(b) at least ten, and

(c) less than twelve.

In Exercises 19–26, find the indicated probabilities. If convenient, use technology or Table 2 in Appendix B.

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Table 2-Binomial Distribution This table shows the probability of x successes in n independent trials, each with probability of success p. n x .01 .05 .10 .15 .20 .25 .30 .35 20.980 .902 .810 .723 .640 .563 .490 .423 1.020 .095 .180 .255 .320 .375 .420 .455 1.029 135 .243 .325 .384 422 P .40 .45 .50 .55 .60 .65 .70 .75 .80 .85 .90 .95 .360 .303 .250 .203.160 .123 .090 .063 .040 .023 .010 .002 .480 .495 .500 .495 .480 .455 .420 .375 .320 .255 .180 .095 2 .000 .002 .010 .023 .040.063 .090 .123 .160 .203 .250 .303 .360 .423 .490 .563 .640 .723 .810 .902 3 0.970 .857 .729 .614 .512 .422 .343 .275 .216 .166 .125 .091 .064 .043 .027 .016 .008 .003 .001 .000 441 444 432 .408 .375 .334 .288 .239 .189 .141 .096 .057 .027 .007 2 .000 .007.027 .057 .096 .141 .189 .239 .288 .334 .375 .408 .432 .444 441 422 .384 .325 .243 .135 3 .000 .000 .001 .003 .008 .016 .027 .043 .064 .091 .125 .166 .216 275 .343 .422 .512 .614 .729 .857 4 0961 .815 .656 .522 .410 .316 .240 .179 130 .092 .062 .041 .026 .015 .008 .004 .002 .001 .000 .000 1.039 171 .292 .368 .410 .422 .412 .384 .346 .300 .250 .200 .154 112 .076 .047 .026 .011 .004 .000 2 .001 .014 .049 .098 .154 211 .265 .311 .346 .368 .375 .368 .346 .311 .265 211 .154 .098 .049 .014 .026 .047 .076 .112 .154 .200 .250 .300 .346 .384 .412 422 .410 .368 .292 .171 4 .000 .000 .000 .001 .002 .004 .008 .015 .026 .041 .062 .092 .130 .179 .240 .316 .410 .522 .656 .815 5 0.951 3 .000 .000 .004 .011 774 .590 .444 .328 .237 .168 .116 .078 .050 .031 .019 .010 .005 .002 .001 .000 .000 .000 .000 1.048 204 .328 .392 .410 .396 .360 .312 .259 .206 .156 .113 .077 .049 .028 .015 .006 .002 .000 .000 2 .001 .021 .073 .138 .205 .264 .309 .336 .346 .337 .312 .276 .230 .181 .132 .088 .051 .024 .008 .001 3 .000 .001 .008 .024 .051 .088 .132 .181 .230 .276 .312 .337 .346 .336 .309 .264 .205 .138 .073 .021 4 .000 .000 .000 .002 .006 .015 .028 .049 .077 .113 .156 .206 .259 .312 .360 .396 .410 .392 .328 .204 5 .000 .000 .000 .000 .000 .001 .002 .005 .010 .019 .031 .050 .078 .116.168 .237 .328 .444 .590 .774 6 0.941 735 .531 .377 .262 .178 .118 .075 .047 .028 .016 .008 .004 .002 .001 .000 .000 .000 .000 .000 1.057 .232 .354 .399 .393 .356 .303 .244 .187 .136 .094 .061 .037 .020 .010 .004 .002 .000 .000 .000 2001 .031 .098 .176 .246 .297 .324 .328 .311 .278 .234 .186 .138 .095 .060 .033 .015 .006 .001 .000 3 .000 .002 .015 .042 .082 .132 .185 .236 .276 .303 .312 .303 .276 .236 .185 .132 .082 .042 .015 .002 4 .000 .000 .001 .006 .015 .033 .060 .095 .138 .186 .234 .278 .311 .328 .324 .297 246 .176 .098 .031 5 .000 .000 .000 .000 .002 .004 .010 .020 .037 .061 .094 .136 .187 244 .303 .356 .393 .399 .354 .232 6 .000 .000 .000 .000 .000 .000 .001 .002 .004 .008 .016 .028 .047 .075 .118 .178 .262 .377 .531 .735