The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with mean 1252 and standard deviation 129 chips. (a) What is the probability that a randomly selected bag contains between 1000 and 1400 chocolate chips? (b) What is the probability that a randomly selected bag contains fewer than 1050 chocolate chips? (c) What proportion of bags contains more than 1200 chocolate chips? (d) What is the percentile rank of a bag that contains 1450 chocolate chips? Click the icon to view a table of areas under the normal curve. . (a) The probability that a randomly selected bag contains between 1000 and 1400 chocolate chips is (Round to four decimal places as needed.) (b) The probability that a randomly selected bag contains fewer than 1050 chocolate chips is. (Round to four decimal places as needed.) (c) The proportion of bags that contains more than 1200 chocolate chips is (Round to four decimal places as needed.) (d) A bag that contains 1450 chocolate chips is in the th percentile. (Round to the nearest integer as needed.)

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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Related questions
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22

TABLE V
Standard Normal Distribution
.00
.01
.02 .03
.04 .05 .06
.07
.08
.09
Area
-34 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003
0.0003 0.0002
0.0004
0.0003
0.0005
0.0005
-3.3
-3.2
-3.1
-3.0
0.0005 0.0005 0.0005 0.0004 0.0004
0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005
0.0004 0.0004
0.0004
0.0010
0.0013
0.0009
0.0009
0.0013
0.0009
0.0008
0.0008
0.0008
0.0011
0.0008
0.0007
0.0007
0.0013
0.0012
0.0012
0.0011
0.0011
0.0010
0.0010
0.0017
0.0023 0.0023
0.0032
0.0015
0.0021
0.0029
0.0014
0.0019
0.0026
-2.9
0.0019
0.0018
0.0018
0.0016
0.0016
0.0015
0.0014
0.0021
-2.8
-2.7
0.0026 0.0025 0.0024
0.0035
0.0047
0.0062
0.0022
0.0031 0.0030
0,0020
0.0034
0.0033
0.0028
0.0027
-2.6
0.0045
0.0044
0.0043
0.0041
0.0040
0.0039
0.0038
0,0037 0.0036
-2.5
0.0060
0.0059
0.0057
0.0055
0.0054
0.0052
0.0051
0.0049
0.0048
-2.4
-2.3
0.0080 0.0078
0.0102
0.0075
0.0099
0.0073 0.0071
0.0096 0.0094
0.0066
0.0087
0.0064
0.0084
0.0082
0.0069
0.0068
0.0107
0.0091
0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119
0.0104
0.0089
-2.2
0.0116
0.0113 0.0110
-2.1
-2.0
0.0179 0.0174
0.0228
0.0222
0.0170 0.0166 0.0162
0.0217 0.0212
0.0158 0.0154 0.0150
0.0202 0.0197 0.0192
0.0146 0.0143
0.0188 0.0183
0.0207
-1.9
0.0287
0.0281
0.0274 0.0268
0.0262
0.0256 0.0250 0.0244
0.0239
0.0233
0.0344 0.0336
0.0427
0.0526
0.0329
0.0409 0.0401
0.0505
0.0307
0.0384
0.0475
0.0582
0.0301
0.0375
0.0465
0.0294
0.0367
-1.8
0.0359 0.0351
0.0446
0.0548
0.0668
0.0322 0.0314
0.0392
0.0485
-1.7
-1.6
0.0436
0.0537
0.0418
0.0516
0.0495
0.0455
-1.5
0.0655
0.0643
0.0630
0.0618
0.0606
0.0594
0.0571
0.0559
0.0735 0.0721
0.0885 0.0869
-1.4
0.0808
0.0793
0.0951
0.0778
0.0764
0.0934 0.0918
0.0749
0.0901
0.0708
0.0694
0.0681
0.0853
0.1020
-1.3
0.0838
0.0823
0.0968
0.1151 0.1131 0.1112 0.1093
0.1056
0.1038
-1.2
-1.1
0.1075
0.1357 0.1335 0.1314 0.1292 0.1271
0.1003 0.0985
0.1251
0.1230
0.1210
0.1190 0.1170
-1.0
0.1587
0.1562 0.1539
0.1515
0.1492
0.1469
0.1446
0.1423
0.1401 0.1379
-0.9
-08
0.1841
0.2119
0.1814
0.1788
0.2090 0.2061
0.1762 0.1736 0.1711
0.2033
0.1685
0.1977 0.1949
0.1660
0.1922
0.1635
0.1894
0.1611
0.1867
0.2005
0.2420 0.2389 0.2358 0.2327 0.2296
-0.7
0.2266
0.2236
0.2206
0.2177 0.2148
0.2514
0.2843
0.2578
-06
-05
0.2743
0.3085
0.2709 0.2676 0.2643 0.2611
0.3015
0.2546
0.2483 0.2451
0.2776
0.3050
0.2981
0.2946
0.2912
0.2877
0.2810
-0.4
0.3446
0.3409
0.3372
0.3783 03745
0.3336
0.3707
0.3300
0.3264
0.3228 0.3192
0.3156
0.3121
0.3821
0.4207
0.4602
0.3483
0.3859
0.4247
0.3632
0.3557
0.3936
0.4325
-0.3
0.3669
0.3594
0.3520
0.4168
0.4562
0.4052 0.4013
0.4443
0.4840
0.5160
05557
-0.2
-0.1
0.4129
0.4522
0.4090
0.4483
0.3974
0.4364
0,3897
0.4286
0.4404
-0.0
0.5000
0.4960
0.4920
0.4880
0.4801
0.4761
0.4721
0.4681
0.4641
0.5040
05438
0.5279
0.5675
0.5000
0.5398
0.5793
0,6179
0.0
0.1
0.5080
0.5478
0.5120
0.5517
0.5910
0.5199
0.5596
0.5239
0.5636
0.6026
0.5319 0.5359
0.5753
0.6141
0.5714
0.6103
0.6480
0.6844
0.2
03
0.5832
0.6217
0.5871
0.6255
0.6064
0.6443
0.5948
0.5987
0.6368
0.6293
0.6331
0.6700
0.6406
0.6772
0.6517
0.4
4
0.6554
0.6591
0.6628
0.6664
0.6736
0.6808
0.6879
0.6985
0.7123
0.5
0.6
0.6915
0.7257
0.7580
0.7881
0.8159
0.6950
0.7291
0.7019
0,7357
0.7673
0.7967
0.8238
0.7054
0.7389
0.7088
0,7422
0.7734
0.8023
0.8289
0.7157
0.7486
0.7190 0.7224
07324
0.7454
0.7517
0.7549
0.7611
0.7642
0,7704
0.7995
0.8264
0.7794
0.8078
0.8340
0.7823 0.7852
0.8133
0.8389
0.7
0.7764
0.8
0.9
0.7910 0.7939
0.8186
0.8212
0.8051
0.8315
0.8106
0.8365
0.8508
0.8729
0.8925
1.0
0.8413 0.8438 0.8461
0.8621
0.8485
0.8708
0.8907
0.8531
0.8554
0.8577 0.8599
0.8686
0.8749
0.8944
0.8770
0.8962
0.8790 0.8810
0.8980
0.8997
1.1
0.8643
0.8849
0.8665
0.8869
0.8830
0.9015
1.2
1.3
1.4
0.8888
0.9032
0.9192
0.9049
0.9066
0.9082
0.9099
0.9115 0.9131
0.9147
0.9162 0.9177
0.9207
0.9222
0.9236
0.9251
0.9265
0.9279
0.9292
0.9306 0.9319
0.9332
0.9452
0.9554
0.9406
0.9505 0.9515
0.9599 0.9608
0.9678
0.9744
0.9394
1.5
1.6
0.9345 0.9357 0.9370 0.9382
0.9418 0.9429
0.9441
0.9495
0.9591
0.9649 0.9656 0.9664 0.9671
0.9463 0.9474
0.9525
0.9616
0.9535 0.9545
0.9625 0.9633
0.9706
0.9761 0.9767
0.9484
1.7
0.9564
0.9573
0.9582
0.9641
0.9713
1.8
0.9686
0.9693 0.9699
1.9
0.9719 0.9726
0.9732
0.9738
0.9750
0.9756
2.0
0.9772
0.9821
0.9861
0.9778 0.9783
0.9788
0.9834
0.9871
0.9793
0.9838
0.9798
0.9803
0.9842 0.9846 0.9850
0.9808
0.9812
0.9854
0.9817
0.9857
2.1
0.9826
0.9830
2.2
0.9864 0.9868
0.9875
0.9878
0.9881
0.9884
0.9887 0.9890
2.3
2.4
0.9898
0.9922
0.9913 0.9916
0.9934
0.9936
0.9893
0.9896
0.9901
0.9904
0.9906 0.9909
0.9911
0.9918
0.9920
0.9925
0.9927
0.9929
0.9931
0.9932
2.5
0.9938
0.9940 0.9941
0.9943 0.9945 0.9946 0.9948 0.9949
0.9951 0.9952
0.9959
0.9960
0.9968 0.9969 0.9970 0.9971
0.9963
0.9972 0.9973 0.9974
2.6
0.9953
0.9955
0.9956
0.9957
0.9961
0.9962
0.9964
2.7
0.9965
0.9966 0.9967
2.8
0.9974 0.9975
0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981
29
0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986
0.9990 0.9990
0.9990 0.9991 0.9991 0.9991 0.992 0.9992 0.9992 0.9992 0.9993 0.993
3.0
0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989
0.9989
3.1
Transcribed Image Text:TABLE V Standard Normal Distribution .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 Area -34 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 0.0004 0.0003 0.0005 0.0005 -3.3 -3.2 -3.1 -3.0 0.0005 0.0005 0.0005 0.0004 0.0004 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0004 0.0004 0.0004 0.0010 0.0013 0.0009 0.0009 0.0013 0.0009 0.0008 0.0008 0.0008 0.0011 0.0008 0.0007 0.0007 0.0013 0.0012 0.0012 0.0011 0.0011 0.0010 0.0010 0.0017 0.0023 0.0023 0.0032 0.0015 0.0021 0.0029 0.0014 0.0019 0.0026 -2.9 0.0019 0.0018 0.0018 0.0016 0.0016 0.0015 0.0014 0.0021 -2.8 -2.7 0.0026 0.0025 0.0024 0.0035 0.0047 0.0062 0.0022 0.0031 0.0030 0,0020 0.0034 0.0033 0.0028 0.0027 -2.6 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0,0037 0.0036 -2.5 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 -2.4 -2.3 0.0080 0.0078 0.0102 0.0075 0.0099 0.0073 0.0071 0.0096 0.0094 0.0066 0.0087 0.0064 0.0084 0.0082 0.0069 0.0068 0.0107 0.0091 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0104 0.0089 -2.2 0.0116 0.0113 0.0110 -2.1 -2.0 0.0179 0.0174 0.0228 0.0222 0.0170 0.0166 0.0162 0.0217 0.0212 0.0158 0.0154 0.0150 0.0202 0.0197 0.0192 0.0146 0.0143 0.0188 0.0183 0.0207 -1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 0.0344 0.0336 0.0427 0.0526 0.0329 0.0409 0.0401 0.0505 0.0307 0.0384 0.0475 0.0582 0.0301 0.0375 0.0465 0.0294 0.0367 -1.8 0.0359 0.0351 0.0446 0.0548 0.0668 0.0322 0.0314 0.0392 0.0485 -1.7 -1.6 0.0436 0.0537 0.0418 0.0516 0.0495 0.0455 -1.5 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0571 0.0559 0.0735 0.0721 0.0885 0.0869 -1.4 0.0808 0.0793 0.0951 0.0778 0.0764 0.0934 0.0918 0.0749 0.0901 0.0708 0.0694 0.0681 0.0853 0.1020 -1.3 0.0838 0.0823 0.0968 0.1151 0.1131 0.1112 0.1093 0.1056 0.1038 -1.2 -1.1 0.1075 0.1357 0.1335 0.1314 0.1292 0.1271 0.1003 0.0985 0.1251 0.1230 0.1210 0.1190 0.1170 -1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 -0.9 -08 0.1841 0.2119 0.1814 0.1788 0.2090 0.2061 0.1762 0.1736 0.1711 0.2033 0.1685 0.1977 0.1949 0.1660 0.1922 0.1635 0.1894 0.1611 0.1867 0.2005 0.2420 0.2389 0.2358 0.2327 0.2296 -0.7 0.2266 0.2236 0.2206 0.2177 0.2148 0.2514 0.2843 0.2578 -06 -05 0.2743 0.3085 0.2709 0.2676 0.2643 0.2611 0.3015 0.2546 0.2483 0.2451 0.2776 0.3050 0.2981 0.2946 0.2912 0.2877 0.2810 -0.4 0.3446 0.3409 0.3372 0.3783 03745 0.3336 0.3707 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121 0.3821 0.4207 0.4602 0.3483 0.3859 0.4247 0.3632 0.3557 0.3936 0.4325 -0.3 0.3669 0.3594 0.3520 0.4168 0.4562 0.4052 0.4013 0.4443 0.4840 0.5160 05557 -0.2 -0.1 0.4129 0.4522 0.4090 0.4483 0.3974 0.4364 0,3897 0.4286 0.4404 -0.0 0.5000 0.4960 0.4920 0.4880 0.4801 0.4761 0.4721 0.4681 0.4641 0.5040 05438 0.5279 0.5675 0.5000 0.5398 0.5793 0,6179 0.0 0.1 0.5080 0.5478 0.5120 0.5517 0.5910 0.5199 0.5596 0.5239 0.5636 0.6026 0.5319 0.5359 0.5753 0.6141 0.5714 0.6103 0.6480 0.6844 0.2 03 0.5832 0.6217 0.5871 0.6255 0.6064 0.6443 0.5948 0.5987 0.6368 0.6293 0.6331 0.6700 0.6406 0.6772 0.6517 0.4 4 0.6554 0.6591 0.6628 0.6664 0.6736 0.6808 0.6879 0.6985 0.7123 0.5 0.6 0.6915 0.7257 0.7580 0.7881 0.8159 0.6950 0.7291 0.7019 0,7357 0.7673 0.7967 0.8238 0.7054 0.7389 0.7088 0,7422 0.7734 0.8023 0.8289 0.7157 0.7486 0.7190 0.7224 07324 0.7454 0.7517 0.7549 0.7611 0.7642 0,7704 0.7995 0.8264 0.7794 0.8078 0.8340 0.7823 0.7852 0.8133 0.8389 0.7 0.7764 0.8 0.9 0.7910 0.7939 0.8186 0.8212 0.8051 0.8315 0.8106 0.8365 0.8508 0.8729 0.8925 1.0 0.8413 0.8438 0.8461 0.8621 0.8485 0.8708 0.8907 0.8531 0.8554 0.8577 0.8599 0.8686 0.8749 0.8944 0.8770 0.8962 0.8790 0.8810 0.8980 0.8997 1.1 0.8643 0.8849 0.8665 0.8869 0.8830 0.9015 1.2 1.3 1.4 0.8888 0.9032 0.9192 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 0.9332 0.9452 0.9554 0.9406 0.9505 0.9515 0.9599 0.9608 0.9678 0.9744 0.9394 1.5 1.6 0.9345 0.9357 0.9370 0.9382 0.9418 0.9429 0.9441 0.9495 0.9591 0.9649 0.9656 0.9664 0.9671 0.9463 0.9474 0.9525 0.9616 0.9535 0.9545 0.9625 0.9633 0.9706 0.9761 0.9767 0.9484 1.7 0.9564 0.9573 0.9582 0.9641 0.9713 1.8 0.9686 0.9693 0.9699 1.9 0.9719 0.9726 0.9732 0.9738 0.9750 0.9756 2.0 0.9772 0.9821 0.9861 0.9778 0.9783 0.9788 0.9834 0.9871 0.9793 0.9838 0.9798 0.9803 0.9842 0.9846 0.9850 0.9808 0.9812 0.9854 0.9817 0.9857 2.1 0.9826 0.9830 2.2 0.9864 0.9868 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 2.3 2.4 0.9898 0.9922 0.9913 0.9916 0.9934 0.9936 0.9893 0.9896 0.9901 0.9904 0.9906 0.9909 0.9911 0.9918 0.9920 0.9925 0.9927 0.9929 0.9931 0.9932 2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 0.9959 0.9960 0.9968 0.9969 0.9970 0.9971 0.9963 0.9972 0.9973 0.9974 2.6 0.9953 0.9955 0.9956 0.9957 0.9961 0.9962 0.9964 2.7 0.9965 0.9966 0.9967 2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 29 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 0.9990 0.9990 0.9990 0.9991 0.9991 0.9991 0.992 0.9992 0.9992 0.9992 0.9993 0.993 3.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 3.1
The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with mean 1252 and standard deviation 129 chips.
(a) What is the probability that a randomly selected bag contains between 1000 and 1400 chocolate chips?
(b) What is the probability that a randomly selected bag contains fewer than 1050 chocolate chips?
(c) What proportion of bags contains more than 1200 chocolate chips?
(d) What is the percentile rank of a bag that contains 1450 chocolate chips?
Click the icon to view a table of areas under the normal curve.
(a) The probability that a randomly selected bag contains between 1000 and 1400 chocolate chips is
(Round to four decimal places as needed.)
(b) The probability that a randomly selected bag contains fewer than 1050 chocolate chips is
(Round to four decimal places as needed.)
(c) The proportion of bags that contains more than 1200 chocolate chips is
(Round to four decimal places as needed.)
(d) A bag that contains 1450 chocolate chips is in the th percentile.
(Round to the nearest integer as needed.)
Transcribed Image Text:The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with mean 1252 and standard deviation 129 chips. (a) What is the probability that a randomly selected bag contains between 1000 and 1400 chocolate chips? (b) What is the probability that a randomly selected bag contains fewer than 1050 chocolate chips? (c) What proportion of bags contains more than 1200 chocolate chips? (d) What is the percentile rank of a bag that contains 1450 chocolate chips? Click the icon to view a table of areas under the normal curve. (a) The probability that a randomly selected bag contains between 1000 and 1400 chocolate chips is (Round to four decimal places as needed.) (b) The probability that a randomly selected bag contains fewer than 1050 chocolate chips is (Round to four decimal places as needed.) (c) The proportion of bags that contains more than 1200 chocolate chips is (Round to four decimal places as needed.) (d) A bag that contains 1450 chocolate chips is in the th percentile. (Round to the nearest integer as needed.)
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