In a certain barangay, the monthly food expenditures of families average P4,500 with a standard deviation of P750. What is the area of these expenditures that are between P3,900 and P5,850? z1 = P (Z < - z1) = P (Z < - z2) = Total area = .00 .01 .02 .03 .04 .05 .0003 -3.4 -3.3 .0003 .0005 .0003 .0005 .0003 .0003 .0003 .0005 .0004 .0004 .0004

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
In a certain barangay, the monthly food expenditures of
families average P4,500 with a standard deviation of
P750. What is the area of these expenditures that are
between P3,900 and P5,850?
X =
Z1 =
P (Z < - z1) =
Z2 =
P (Z < - z2) =
Total area =
.00
.01
.02
.03
.04
05
.06
.07
.0003 .0003 .0003 .0003 .0003
-3.4
-3.3
-3.2
-3.1
-3.0
-2.9
-2.8
-2.7 .0035
-2.6
-2.5
-2.4
.0003 .0003
.0005
.0007
.0010
.0013
.0019
.0026
.0003
.0005
.0006
.0009
.0013
.0004
.0006
.0009
.0005
.0004
.0006
.0008 .0008
.0004 .0004
.0004
.0005
.0008
.0007
.0006 .0006
.0008
.0009
.0013
.0018
.0025
.0034
.0047 .0045
.0060
.0080
.0012 .0012 .0011 .0011
.0011
.0015
.0018
.0024
.0033
.0044
.0017
.0023
.0032
.0043
.0016 .0016
.0023 .0022 .0021
.0031
.0015
.0021
.0028
.0041 .0040 .0039 .0038
.0051
.0068
.0089
.0116
.0150
.0192
.0244
.0307
.0384
.0475
.0582
.0708
.0853
.0030
.0029
.0062
.0082
.0059
.0078
.0057 .0055 .0054 .0052
.0075 .0073 .0071 .0069
.0096 .0094
.0125
.0162 .0158 .0154
.0207 .0202 .0197
.0262 .0256
.0329 .0322 .0314
.0102
.0132
.0170
.0217
.0274
.0099
.0129
.0166
.0091
.0122 .0119
-2.3
-2.2
.0107 .0104
.0139
.0136
.0174
.0222
.0281
-2.1
-2.0
.0179
.0228
.0287
.0212
.0268
.0250
-1.9
-1.8
-1.7
.0359 .0351
.0344
.0427
.0336
.0392
.0495 .0485
.0594
.0446
.0436
.0418 .0409 .0401
-1.6
-1.5
.0548
.0668
.0516
.0630
.0537 .0526
.0505
.0618 .0606
.0764 .0749 .0735 .0721
.0901
.1075 .1056 .1038
.0655
.0643
-1.4 .0808 .0793
-1.3 .0968 .0951
.1151
.1357
.1587
.1841
.2119
.0778
.0934
.1112
.1314
.1539
.1788
.2061
.0918
.1093
.1292
.0885 .0869
-1.2
-1.1
-1.0
-0.9
-0.8
.1131
.1335
.1562
.1271
.1492
1736
.1230
.1446
.1685
.1020
.1210
.1423
.1660
.1251
.1515
.1469
1762
.1814
.2090
.2389
.2709
.3050
.3409
3783
.4168
.1711
.1977
.2266
.2578 2546
.2912
.2005
.1949
2236
.2033
.1922
.2206
.2420
.2743
.3085
3446
.3821
.4207
.2358
.2327
.2643
.2981
.3336
.3707
.2296
.2611
.2946
.3300
-0.7
-0.6
.2676
2514
.2877
2843
-0.5
-0.4
-0.3
-0.2
-0.1
-0.0
.3015
.3372
.3745
.4129
.3264
.3228
3594
3192
3669
.3632
.3557
.4090
.4483
4880
.4052
.4013
3974
.3936
.4602
.4562
.4522
.4443
4404
.4364
4325
.5000 .4960
4920
.4840
.4801
.4761
.4721
.00
.01
.02
.03
.04
.05
.06
.07
5040
.5438
.5832
5160
.5080
.5478
.5871
.6255
.6628
.5199
.5239
0.0
0.1
.5000
.5398
.5793
.5120
.5517
.5910
.5279
5675
.606
.6443
.5557 .5596
.5948 .5987
.5636
.6026
0.2
0.3
.6179
.6554
.6915
.6217
.6591
.6293
.6664
.6331 .6368 .6406
.6736
.7088
.6772
7123
.6700
.6808
7152
0.4
.7019
.7357
0.5
.6950
.6985
.7324
7054
7389
0.6
.7257
.7291
.7422
.7734
.8023
.7454
.7764
.7486
779
0.7
.7580
.7611
.7642
7673
7704
8051
.8315
.8554
0.8
.7881
.7910
7939
7967
7995
.8078
.8159
.8413
0.9
8186
.8212
.8238
.8264
.8289
8340
.8577
.8790
1.0
.8438
8461
.8485
.8508
.8531
1.1
8643
.8665
.8686
.8708
.8729
.8749
.8770
Transcribed Image Text:In a certain barangay, the monthly food expenditures of families average P4,500 with a standard deviation of P750. What is the area of these expenditures that are between P3,900 and P5,850? X = Z1 = P (Z < - z1) = Z2 = P (Z < - z2) = Total area = .00 .01 .02 .03 .04 05 .06 .07 .0003 .0003 .0003 .0003 .0003 -3.4 -3.3 -3.2 -3.1 -3.0 -2.9 -2.8 -2.7 .0035 -2.6 -2.5 -2.4 .0003 .0003 .0005 .0007 .0010 .0013 .0019 .0026 .0003 .0005 .0006 .0009 .0013 .0004 .0006 .0009 .0005 .0004 .0006 .0008 .0008 .0004 .0004 .0004 .0005 .0008 .0007 .0006 .0006 .0008 .0009 .0013 .0018 .0025 .0034 .0047 .0045 .0060 .0080 .0012 .0012 .0011 .0011 .0011 .0015 .0018 .0024 .0033 .0044 .0017 .0023 .0032 .0043 .0016 .0016 .0023 .0022 .0021 .0031 .0015 .0021 .0028 .0041 .0040 .0039 .0038 .0051 .0068 .0089 .0116 .0150 .0192 .0244 .0307 .0384 .0475 .0582 .0708 .0853 .0030 .0029 .0062 .0082 .0059 .0078 .0057 .0055 .0054 .0052 .0075 .0073 .0071 .0069 .0096 .0094 .0125 .0162 .0158 .0154 .0207 .0202 .0197 .0262 .0256 .0329 .0322 .0314 .0102 .0132 .0170 .0217 .0274 .0099 .0129 .0166 .0091 .0122 .0119 -2.3 -2.2 .0107 .0104 .0139 .0136 .0174 .0222 .0281 -2.1 -2.0 .0179 .0228 .0287 .0212 .0268 .0250 -1.9 -1.8 -1.7 .0359 .0351 .0344 .0427 .0336 .0392 .0495 .0485 .0594 .0446 .0436 .0418 .0409 .0401 -1.6 -1.5 .0548 .0668 .0516 .0630 .0537 .0526 .0505 .0618 .0606 .0764 .0749 .0735 .0721 .0901 .1075 .1056 .1038 .0655 .0643 -1.4 .0808 .0793 -1.3 .0968 .0951 .1151 .1357 .1587 .1841 .2119 .0778 .0934 .1112 .1314 .1539 .1788 .2061 .0918 .1093 .1292 .0885 .0869 -1.2 -1.1 -1.0 -0.9 -0.8 .1131 .1335 .1562 .1271 .1492 1736 .1230 .1446 .1685 .1020 .1210 .1423 .1660 .1251 .1515 .1469 1762 .1814 .2090 .2389 .2709 .3050 .3409 3783 .4168 .1711 .1977 .2266 .2578 2546 .2912 .2005 .1949 2236 .2033 .1922 .2206 .2420 .2743 .3085 3446 .3821 .4207 .2358 .2327 .2643 .2981 .3336 .3707 .2296 .2611 .2946 .3300 -0.7 -0.6 .2676 2514 .2877 2843 -0.5 -0.4 -0.3 -0.2 -0.1 -0.0 .3015 .3372 .3745 .4129 .3264 .3228 3594 3192 3669 .3632 .3557 .4090 .4483 4880 .4052 .4013 3974 .3936 .4602 .4562 .4522 .4443 4404 .4364 4325 .5000 .4960 4920 .4840 .4801 .4761 .4721 .00 .01 .02 .03 .04 .05 .06 .07 5040 .5438 .5832 5160 .5080 .5478 .5871 .6255 .6628 .5199 .5239 0.0 0.1 .5000 .5398 .5793 .5120 .5517 .5910 .5279 5675 .606 .6443 .5557 .5596 .5948 .5987 .5636 .6026 0.2 0.3 .6179 .6554 .6915 .6217 .6591 .6293 .6664 .6331 .6368 .6406 .6736 .7088 .6772 7123 .6700 .6808 7152 0.4 .7019 .7357 0.5 .6950 .6985 .7324 7054 7389 0.6 .7257 .7291 .7422 .7734 .8023 .7454 .7764 .7486 779 0.7 .7580 .7611 .7642 7673 7704 8051 .8315 .8554 0.8 .7881 .7910 7939 7967 7995 .8078 .8159 .8413 0.9 8186 .8212 .8238 .8264 .8289 8340 .8577 .8790 1.0 .8438 8461 .8485 .8508 .8531 1.1 8643 .8665 .8686 .8708 .8729 .8749 .8770
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