Pennsylvania State University accepts 49% of applicants. You randomly select seven Pennsylvania State University applicants. The random variable represents the number who are accepted.

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. 2 P n x .01 .05 .10 .15 .20 .25 .30 .35 .40 .45 .50 .55 .60 .65 .70 .75 .80 .85 .90 .95 0.980 .902 .810 .723 .640 .563 .490 .423 .360 .303 .250 .203.160 .123 .090 .063 .040 .023 .010 .002 1.020 .095 .180 .255 .320 .375 .420 .455 .480 .495 .500 .495 .480 .455 .420 .375 .320 .255 180 .095 2000.002 .010 .023 .040 .063 .090 .123 .160 .203 .250 .303 .360 .423 .490 .563 .640 .723 .810 .902 30.970 .857 .729 .614 .512 .422 .343 .275 .216 .166 .125 .091 .064 .043 .027 .016 .008 .003 .001 .000 1.029 135 .243 .325 .384 422 441 444 432 .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 0.961 .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 2001 .014 .049 .098 .154 .211 .265 .311 .346 .368 .375 .368 .346 .311 .265 .211 .154 .098 .049 .014 3 .000 .000 .004 .011 .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 0.951 774 .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