Where appropriate, work the following binomial distribution problems using the normal curve. Also, use Table A.2 to find the answers by using the binomial distribution and compare the answers obtained...

Q35

Table "A.2" is in image #2

Please complete parts a b c & d and I will thumbs up! Big help thanks!! :))

Extracted text: Where appropriate, work the following binomial distribution problems using the normal curve. Also, use Table A.2 to find the answers by using the binomial distribution and compare the answers obtained by the two methods. Appendix A Statistical Tables *(Round the values of o to 3 decimal places, e.g. 0.757. Round the values of z to 2 decimal places, e.g. 0.75. Round your answers to 4 decimal places, e.g. 0.7596 when calculating using normal curve. Round your answers to 3 decimal places, e.g. 0.759 when calculating using Table A.2.) (a) P(x = 7|n = 20 and p = 0.50) =? %3D %3D Using normal curve: Using Table A.2: (b) P(x > 13|n= 20 and p = 0.60) = ? Using normal curve: Using Table A.2: (c) P(x = 7|n = 15 and p = 0.50) = ? Using normal curve: Using Table A.2: (d) P(x < 2|="" n="8" and="" p="0.50)" =="" using="" normal="" curve:="" using="" table="">


Extracted text: n = 8 n = 15 n = 18 n = 20 n = 12 TABLE A.2 Probability Probability Probability Probability Probability Binomial Probability Distribution .1 .2 •3 •5 .6 .7 .8 .9 .1 .2 •3 .4 •5 .6 •7 .8 .9 .6 .8 .6 .8 .1 .2 •3 •4 •5 .6 •7 .8 .9 n = 1 .1 .2 •3 •4 •5 .7 .9 0 .206 .035 .005 .000 .000 .000 .000 .000 .000 .1 .2 •3 •4 -5 .7 .9 0 .430 .168 .058 .017.004 .001 .000 .000 .000 0 .282 .069 .014 .002 .000 .000 .000 .000 .000 0 .122 .012 .001 .000 .000 .000 .000 .000 .000 Probability 1.343 .132 .031 .005 .000 .000 .000 .000 .000 0 .150 .018 .002 .000 .000 .000 .000 .000 .000 1 .383 .336 .198 .090 .031 .008 .001 .000 .000| 1 .270 .058 .007 .000 .000 .000 .000 .000 .00o .6 .8 1 .377 .206 .071 .017 .003 .000 .000 .000 .000 2 .267 .231 .092 .022 .003 .000 .000 .000 .000 .1 .2 •3 .4 •5 .7 .9 2 .149 .294 .296 .209 .109 .041 .010 .001 .000 1.300 .081 .013 .001 .000 .000 .000 .000 .000 2 .285 .137 .028 .003 .000 .000 .000 .000 .000 о 900 .800 .700 .600 .500.400 .300 .200 .100 2 .230 .283 .168 .064 .016 .002 .000 .000 .000 3 .129 .250 .170 .063 .014 .002 .000 .000 .000 3 .033 .147 .254 .279 .219 .124 .047 .009 .000 2 .284 .172 .046 .007 .001 .000 .000 .000 .000 .100 .200 .300 .400 .500 .600 .700 .800 .900 4 .043 .188 .219 .127 .042 .007 .001 .000 .000 3 .190 .205 .072 .012 .001 .000 .000 .000 .000 3 .085 .236 .240 .142 .054 .012 .001 .000 .000 n = 2 4 .005 .046 .136 .232 .273 .232 .136 .046 .005 5 .010 .103 .206 .186 .092 .024 .003.000 .000 3 .168 .230 .105 .025 .003 .000 .000 .000 .000 4 .090 .218 .130 .035 .005 .000 .000 .000 .000 4 .021 .133 .231 .213 .121 .042 .008 .001 .000 Probability 5 .000 .009 .047 .124 .219 .279 .254 .147 .033 6 .002 .043 .147 .207 .153 .061 .012 .001 .000 4 .070 .215 .168 .061 .012 .001 .000 .000 .000 5 .032 .175 .179 .075 .015 .001 .000o .000 .000 5 .004 .053 .158 .227 .193 .101 .029 .003 .000 .6 .8 6 .000 .001 .010 .041 .109 .209 .296 .294 .149 7 .000 .014 .081 .177 .196 .118 .035 .003 .000 .1 .2 •3 •4 •5 .7 .9 6 .009 .109 .192 .124 .037 .005 .000 .000 .000 6 .000 .016 .079 .177 .226 .177 .079 .016 .000 8 .000 .003 .035 .118 .196 .177 .081 .014 .000 5 .022 .151 .202 .115 .033 .004 .000 .000 .000 o .810 .640 .490 .360 .250 .160 .090 .040 .010 1 .180 .320 .420 .480 .5o0 .480 .420 -320 .180 7 .000 .000 .001 .008 .031 .090 .198 .336 .383 7 .002 .055 .164 .166 .074 .015 .001 .000 .000 8 .000 .000 .000 .001 .004 .017 .058 .168 .430 7 .000 .003 .029 .101 .193 .227 .158 .053 .004 9 .000 .001 .012 .061 .153 .207 .147 .043 .002 6 .005 .082 .187 .166 .071 .015 .001 .000 .000 8 .000 .022 .114 .180 .120 .035 .004 .000 .000 2 .010 .040 .090 .160 .250 .360 .490 .640 .810 n = 9 8 .000 .001 .008 .042 .121 .213 .231 .133 .021 10 .000 .000 .003 .024 .092 .186 .206 .103 .010 7 .001 .035 .138 .189 .121 .037 .005 .000 .000 9 .000 .007 .065 .160 .160 .071 .012 .000 .000 n = 3 Probability 9 .000 .000 .001 .012 .054 .142 .240 .236 .085 11 .000 .000 .001 .007 .042 .127 .219 .188 .043 Probability 12 .000 .000 .000 .002 .014 .063 .170 .250 .129 8 .000 .012 .081 .173 .167 .077 .015 .001 .000 10 .000 .002 .031 .117.176 .117 .031 .002 .000 .1 .2 •3 .4 •5 .6 .7 .8 .9 10 .000 .000 .000 .002.016 .064 .168 .283 .230 9 .000 .003 .039 .128 .185 .128 .039 .003 .000 11 .000 .00o .012 .071 .160 .160 .065 .007 .000 .1 .2 •3 •4 •5 .6 •7 .8 .9 13 .000 .000 .000 .000 .003 .022 .092 .231 .267 0 .387 .134 .040 .010 .002 .000 .000 .000 .00o 11 .000 .000 .000 .000.003 .017 .071 .206 .377 14 .000 .000 .000 .000 .000 .005 .031 .132 -343 12 .000 .00o .004 .035 .120 .180 .114 .022 .000 o .729 -512 .343 .216 .125 .064 .027 .008 .001 1 .243 .384 .441 .432 .375 .288 .189 .096 .027 10 .000 .001 .015 .077 .167 .173 .081 .012 .00o 1 .387 -302 .156 .060 .018 .004 .00o .000 .000 12 .000 .000 .000 .000 .000 .002 .014 .069 .282 15 .000 .000 .000 .000 .000 .000 .005 .035 .206 13 .000 .000 .001 .015 .074 .166 .164 .055 .002 2 .172 .302 .267 .161 .070 .021 .004 .000 .000 n = 16 11 .000 .000 .005 .037 .121 .189 .138 .035 .001 2 .027 .096 .189 .288 .375 .432 .441 .384 .243 п313 14 .000 .000 .000 .005 .037 .124 .192 .109 .009 3 .001 .008 .027 .064 .125 .216 .343 -512 .729 3 .045 .176 .267 .251 .164 .074 .021 .003 .000 Probability Probability 12 .000 .000 .001 .015 .071 .166 .187 .082 .005 15 .000 .000 .000 .001 .015 .075 .179 .175 .032 n = 4 4 .007 .066 .172 .251 .246 .167 .074 .017 .001 .1 .2 •3 .4 •5 .6 .7 .8 .9 .1 .2 •3 •4 •5 .6 •7 .8 .9 13 .000 .000 .000 .004 .033 .115 .202 .151 .022 16 .000 .000 .000 .000 .005 .035 .130 .218 .090 0 .185 .028 .003 .000 .000 .000 .000 .000 .000 Probability 5 .001 .017 .074 .167 .246 .251 .172 .066 .007 0 .254 .055 .010 .001 .000 .000 .000 .000 .000 14 .000 .000 .000 .001 .012 .061 .168 .215.070 17 .000 .000 .000 .000 .001 .012 .072 .205 .190 .6 .8 1.329 .113 .023 .003 .000 .000 .000 .000 .000 .1 .2 •3 .4 •5 .7 .9 6 .000 .003 .021 .074 .164 .251 .267 .176 .045 1.367 .179 .054 .011 .002 .000 .000 .000 .000 18 .000 .000 .000 .000 .000 .003 .028 .137 .285 o .656 .410 .240 .130 .063 .026 .008 .002 .000 2 .275 .211 .073 .015 .002 .000 .000 .000 .000 15 .000 .000 .000 .000 .003 .025 .105 .230 .168 7 .000 .000 .004 .021 .070 .161 .267 .302 .172 2 .245 .268 .139 .045 .010 .001 .000 .000 .000 3 .142 .246 .146 .047 .009 .001 .000 .000 .000 19 .000 .000 .000 .000 .000 .000 .007 .058 .270 .292 .410 .412 .346 .250 .154 .076 .026 .004 16 .000 .000o .000 .000 .001 .007 .046 .172 .284 1 8 .000 .000 .000 .004 .018 .060 .156 .302 .387 3 .100 .246 .218 .111 .035 .006 .001 .000 .000 4 .051 .200 .204 .101 .028 .004 .000 .000 .000 20 .000 .000 .000 .000 .000 .000 .001 .012 .122 2 .049 .154 .265 .346 .375 -346 .265 .154 .049 9 .000 .000 .000 .000 .002 .010 .04o .134 .387 5 .014 .120 .210 .162 .067 .014 .001 .000 .000 17 .000 .000 .000 .000 .000 .001 .013 .081 .300 3 .004 .026 .076 .154 .250 .346 .412 .410 .292 4 .028 .154 .234 .184 .087 .024 .003 .000 .000 n = 25 4 .000 .002 .008 .026 .063 .130 .240 .410 .656 n = 10 5 .006 .069 .180 .221 .157 .066 .014 .001 .000 6 .003 .055 .165 .198 .122 .039 .006 .000 .000 18 .000 .000 .000 .000 .000 .000 .002 .018 .150 Probability Probability 7.000 .020 .101 .189 .175 .084 .019 .001 .000 n = 5 6 .001 .023 .103 .197 .209 .131 .044 .006 .000 n = 19 .1 .2 •3 •4 •5 .6 •7 .8 .9 .1 .2 •3 •4 •5 .6 .7 .8 8 .000 .006 .049 .142 .196 .142 .049 .006 .000 Probability 7 .000 .006 .044 .131 .209 .197 .103 .023 .001 9 .000 .001 .019 .084 .175 .189 .101 .020 .000 Probability 0 .072 .004 .000 .000 .000 .000 .000 .000 .000 .6 .8 0 .349 .107 .028 .006 .001 .000 .000 .000 .000 .1 .2 •3 •4 •5 •7 .9 8.000 .001 .014 .066 .157 .221 .180 .069 .006 10 .000 .000 .006 .039 .122 .198 .165 .055 .003 .6 .8 1 .199 .024 .001 .000 .000 .000 .000 .000 .00o 1.387 .268 .121 .040 .010 .002 .000 .000 .000 .1 .2 •3 •4 .5 .7 .9 O .590 .328 .168 .078 .031 .010 .002 .000 .000 1 .328 .410 .360 .259 .156 .077 .028 .006 .000 11 .000 .000 .001 .014 .067 .162 .210 .120 .014 2 .266 .071 .007 .000 .000 .000 .000 .000 .000 2 .194 .302 .233 .121 .044 .011 .001 .000 .000 9 .000 .000 .003 .024 .087 .184 .234 .154 .028 0 .135 .014 .001 .000 .000 .000 .000 .000 .00 12 .000 .000 .000 .004| .028 .101 .204 .200 .051 3 .226 .136 .024 .002 .000 .000 .000 .000 .000 .073 .205 .309 .346 .313 .230 .132 .051 .008 3 .057 .201 .267 .215 .117 .042 .009 .001 .000| 10 .000 .000 .001 .006.035 .111 .218 .246 .100 1 .285 .068 .009 .001 .000 .000 .000 .000 .000 13 .000 .000 .000 .001 .009 .047 .146 .246 .142 4 .138 .187 .057 .007 .000 .000 .00o .000 .000 3 .008 .051 .132 .230 .313 .346 .309 .205 .073 4 .011 .088 .200 .251 .205 .111 .037 .006 .000 11 .000 .000 .000 .001 .010 .045 .139 .268 .245 14 .000 .000o .000 .000 .002 .015 .073 .211 .275 2 .285 .154 .036 .005 .000 .000 .000 .000 .000 5 .065 .196 .103 .020 .002 .000 .000 .000 .000 4 .000 .006 .028 .077 .156 .259 .360 .410 .328 5 .001 .026 .103 .201 .246 .201 .103 .026 .001 12 .000 .000 .000 .000 .002 .011 .054 .179 .367 15 .000 .000 .000 .000 .000 .003 .023 .113 .329 5 .000 .000 .002 .010 .031 .078 .168 .328 .590 3 .180 .218 .087 .017 .002 .000 .000 .000 .000 6 .024 .163 .147 .044 .005 .000 .000o .000 .000 6 .000 .006 .037 .111 .205 .251 .200 .088 .011 13 .000 .00o .000 .000 .000 .001 .010 .055 .254 16 .000 .000 .000 .000 .000o .000 .003 .028 .185 n = 6 4 .080 .218 .149 .047 .007 .001 .000 .000 .000 7 .007 .111 .171 .080 .014 .001 .000 .000 .000 7 .000 .001 .009 .042 .117 .215 .267 .201 .057 n = 14 n = 17 Probability Probability 5 .027 .164 .192 .093 .022 .002 .000 .000 .000 8 .002 .062 .165 .120 .032 .003 .000 .000 .000 8 .000 .000 .001 .011 .044 .121 .233 .302 .194 Probability .6 .8 9 .000 .029 .134 .151 .061 .009 .000 .000 .000 .1 .2 •3 •4 •5 .7 .9 .1 .2 •3 •5 .6 .7 .8 .9 9 .000 .000 .000 .002 .010 .040 .121 .268 .387 .8 6 .007 .095 .192 .145 .052 .008 .001 .000 .000 o 531 .262 .118 .047 .016 .004 .001 .000 .000 .1 .2 •3 .4 •5 .6 .7 .9 10 .000 .012 .092 .161 .097 .021 .001 .000 .000 0 .167 .023 .002 .000.000 .000 .000 .000 .000 1 .354 .393 .303 .187 .094 .037 .010 .002 .000 10 .000 .000 .000 .000 .001 .006 .028 .107 .349 0 .229 .044 .007 .001 .000 .000 .000 .000 .000 1 .315 .096 .017 .002 .000 .000 .000 .000 .00o 7 .001 .044 .153 .180 .096 .024 .002 .000 .000 11 .000 .004 .054 .147 .133 .043 .004 .000 .000 2 .098 .246 .324 .311 .234 .138 .060 .015 .001 п311 1.356 .154 .041 .007 .001 .000 .000 .000 .000 2 .280 .191 .058 .010 .001 .000 .000 .000 .000 8 .000 .017 .098 .180 .144 .053 .008 .000 .000 12 .000 .001 .027 .114 .155 .076 .011 .000 .000 3 .015 .082 .185 .276 .313 .276 .185 .082 .015 Probability 2 .257 .250 .113 .032 .006 .001 .000 .000 .000 3 .156 .239 .125 .034 .005 .000 .000 .000 .000 9 .000 .005 .051 .146 .176 .098 .022 .001 .000 13 .000 .000 .011 .076 .155 .114 .027 .001 .000 4 .001 .015 .060 .138 .234 .311 .324 .246 .098 .1 .2 •3 •4 •5 .6 •7 .8 .9 4 .060 .209 .187 .080 .018 .002 .000 .000 .000 3 .114 .250 .194 .085 .022 .003 .000 .000 .000 14 .000 .000 .004 .043 .133 .147 .054 .004 .000 5 .000 .002 .010 .037.094 .187 .303 .393 .354 0 .314 .086 .020 .004 .000 .000 .000 .000 .000 5 .017 .136 .208 .138 .047 .008 .001 .000 .000 10 .000 .001 .022 .098 .176 .146 .051 .005 .000 4 .035 .172.229 .155 .061 .014 .001 .000 .000 15 .000 .000 .001 .021 .097 .161 .092 .012 .000 6 .000 .00o .001 .004 .016 .047 .118 .262 .531 1 .384 .236 .093 .027 .005 .001 .000 .000 .000| 6 .004 .068 .178 .184 .094 .024 .003 .000 .000 11 .000 .000 .008 .053 .144 .180 .098 .017 .000 n = 7 5 .008 .086 .196 .207 .122 .041 .007 .000 .000 7 .001 .027 .120 .193 .148 .057 .009 .000 .000 16 .000 .000 .000 .009 .061 .151 .134 .029 .000 2 .213 .295 .200 .089 .027 .005 .001 .000 .000 Probability 6 .001 .032 .126 .207 .183 .092 .023 .002 .000 12 .000 .000 .002 .024 .096 .180 .153 .044 .001 17 .000 .000 .000 .003 .032 .120 .165 .062 .002 3 .071 .221 .257 .177 .081 .023 .004 .000 .000 8 .000 .008 .064 .161 .185 .107 .028 .002 .000 .6 .8 7 .000 .009 .062 .157 .209 .157 .062 .009 .000| 9 .000 .002 .028 .107 .185 .161 .064 .008 .000 13 .000 .000 .001 .008 .052 .145 .192 .095 .007 18 .000 .000 .000 .001 .014 .080 .171 .111 .007 .1 .2 •3 .4 •5 .7 .9 4 .016 .111 .220 .236 .161 .070 .017 .002 .000o o .478 .21o .082 .028 .008 .002 .000 .000 .000 8 .000 .002 .023 .092 .183 .207 .126 .032 .001 10 .000 .000 .009 .057 .148 .193 .12o .027 .001 14 .000 .000o .000 .002 .022 .093 .192 .164 .027 19 .000 .000 .000 .000 .005 .044 .147 .163 .024 5 .002 .039 .132 .221 .226 .147 .057 .010 .000 1 .372 .367 .247 .131 .055 .017 .004 .000 .000 9 .000 .000 .007 .041 .122 .207 .196 .086 .008 11 .000 .000 .003 .024 .094 .184 .178 .068 .004 20 .000 .000 .000 .000 .002 .020 .103 .196 .065 6 .000 .010 .057 .147 .226 .221 .132 .039 .002 15 .000 .000o .000 .001 .007 .047 .149 .218 .080 2 .124 .275 .318 .261 .164 .077 .025 .004 .000 12 .000 .000 .001 .008 .047 .138 .208 .136 .017 10 .000 .000 .001 .014 .061 .155 .229 .172 .035 21 .000 .000 .000 .000 .000 .007 .057 .187 .138 3 .023 .115 .227 .290 .273 .194 .097 .029 .003 7.000 .002 .017 .070 .161 .236 .220 .111 .016 13 .000 .000 .000 .002 .018 .080 .187 .209 .060 16 .000 .000 .000 .000 .002 .017 .087 .218 .180 22 .000 .000 .000 .000 .000 .002 .024 .136 .226 17 .000 .000 .000 .000 .000 .005 .036 .154 .285 23 .000 .000 .000 .000 .000 .000 .007 .071 .266 8 .000 .000 .004 .023 .081 .177 .257 .221 .071 11 .000 .000 .000 .003 .022 .085 .194 .250 .114 14 .000 .00o .000 .000 .005 .034 .125 .239 .156 4 .003 .029 .097 .194 .273 .290 .227 .115 .023 5 .000 .004 .025 .077 .164 .261 .318 .275 .124 9 .000 .000 .001 .005 .027 .089 .200 .295 .213 12 .000 .000 .000 .001 .006 .032 .113 .250 .257 15 .000 .000 .000 .000 .001 .010 .058 .191 .28o 18 .000 .000 .000 .000 .000 .001 .009 .068 .285 24 .000 .000 .000 .000 .000 .000 .001 .024 .199 6 .000 .000 .004 .017 .055 .131 .247 -367 -372 10 .000 .000o .000 .001 .005 .027 .093 .236 .384 13 .000 .000 .000 .000 .001 .007 .041 .154 .356 16 .000 .00o .000 .000 .000 .002 .017 .096 .315 7 .000 .000 .000 .002 .008 .028 .082 .210 .478 11 .000 .000 .000 .00o .000 .004.020 .086 .314 14 .000 .000 .000 .000.000 .001 .007 .044 .229 17 .000 .000 .000 .000 .000 .000 .002 .023 .167 19 .000 .000 .000 .000 .000 .000 .001 .014 .135 25 .000 .000 .000 .000 .000 .000 .000 .004 .072