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) = ? 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 = 0.5O) = ? Using normal curve: Using Table A.2: (d) P(x < 2| n =8 and p = 0.50) = ? Using normal curve: Using Table A.2:
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) = ? 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 = 0.5O) = ? Using normal curve: Using Table A.2: (d) P(x < 2| n =8 and p = 0.50) = ? Using normal curve: Using Table A.2:
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Q35
Table "A.2" is in image #2
Please complete parts a b c & d and I will thumbs up! Big help thanks!! :))
Transcribed Image 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 A.2:
Transcribed Image 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
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