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 1500 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 1050 chocolate chips? Click the icon to view table of areas under the normal curve. (a) The probability that a randomly selected bag contains between 1000 and 1500 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 1050 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
-3.4
-3.3
-3.2
0.0003 0.0003
0.0005
0.0005
0.0007
0.0006
0.0003
0.0004
0.0006
0.0003
0.0004
0.0003
0.0002
0.0003
0.0005 0.0005
0.0003
0.0003
0.0003
0.0003
0.0004
0.0006 0.0006 0.0005
0.0005
0.0004
0.0004
0.0004
0.0007
0.0006
0.0009
0.0013
-3.1
0.0010
0.0013
0.0009
0.0013
0.0009
0.0012
0.0008
0.0012
0.0008
0.0011
0.0008 0.0008
0.0011
0.0011
0.0007 0.0007
0.0010 0.0010
-3.0
0.0018 0.0018
0.0017
0.0014 0.0014
-2.9
-2.8
-2.7
0.0019
0.0016
0.0016 0.0015
0.0022
0.0015
0.0026
0.0025
0.0024
0.0023
0.0023
0.0021
0.0021
0.0020
0.0019
0.0027 0.0026
0.0029
0.0040 0.0039
0.0034
0.0032
0.0035
0.0047
0.0062
0.0033
0.0031
0.0041
0.0055
0.0030
0.0028
-2.6
-2.5
0.0045
0.0060
0.0038
0.0052 0.0051
0.0037
0.0036
0.0049 0.0048
0.0044
0.0043
0.0059
0,0057
0.0054
-2.4
-2.3
-2.2
0.0080
0.0104
0.0136
0.0174
0.0082
0.0107
0.0078 0.0075
0.0102
0.0132
0.0170
0.0073
0.0071
0.0094
0.0069
0.0068
0.0066 0.0064
0.0099
0.0096
0.0091
0.0089
0.0087 0.0084
0.0139
0.0129 0.0125 0.0122 0.0119
0.0116
0.0113 0.0110
-2.1
0.0179
0.0166
0.0162
0.0158
0.0154
0.0150
0.0146 0.0143
-2.0
0.0228
0.0222
0.0217
0.0212
0.0207
0.0202
0.0197
0.0192
0.0188
0.0183
0.0281
0.0351
0.0436
0.0537
0.0239 0.0233
0.0301
-1.9
-1.8
-1.7
-16
0.0287
0.0359
0.0446
0.0548
0.0668
0.0274
0.0344
0.0427
0.0526
0.0268
0.0336
0.0418
0.0516
0.0262
0.0329
0.0409
0.0505 0.0495
0.0256
0.0322
0.0250 0.0244
0.0314
0.0307
0.0392
0.0384
0.0485
0.0475
0.0294
0.0375 0.0367
0.0465
0.0401
0.0455
-1.5
0.0655
0.0643
0.0630
0.0618
0.0606
0.0594
0.0582
0.0571 0.0559
0.0778
0.0934
0.1112
0.1314
-1.4
0.0808
0.0793
0.0951
0.1131
0.1335
0.0764
0.0749
0.0735
0.0721
0.0708
0.0853
0.1020
0.1230 0.1210
0.0694
0.0681
-1.3
-1.2
-1.1
0.0885
0.0838
0.0968
0.1151
0.1357
0.0918
0.1093
0.1292
0.0901
0.1075
0.1271
0.0823
0.1003 0.0985
0.1190
0.0869
0.1056 0.1038
0.1251
0.1170
-1.0
0.1587
0.1562
0.1539
0.1515 0.1492 0.1469
0.1446
0.1423
0.1401
0.1379
0.1762 0.1736
0.2033
0.2327
0.2643
-0.9
0.1841
0.1814
0.1788
0.1635 0.1611
0.1711 0.1685
0.1977
0.1660
0.1922
0.1949
0.2266 0.2236
0.2578 0.2546 0.2514
-08
0.2119
0.2090
0.2061
0.2005
0.1894 0.1867
0.2420
0.2743
0.3085
0.2296
0.2611
-0.7
0.2389
0.2709
0.2358
0.2676
0.2206 0.2177 0.2148
-0.6
-0.5
0.2483 0.2451
0.3050
0.3015
0.2981
0.2946
0.2912
0.2877 0.2843
0.2810
0.2776
-0.4
-0.3
-0.2
0.3446
0.3821
0.4207
0.4602
0.3409
0.3783
0.4168
0.3372
0.3745
0.4129
0.3300
0.3669
0.4052
0.4443
0.3264
0.3632
0.4013
0.4404
0.4801
0.3336
0.3707
0.3228 0.3192
0.3594 0.3557
0.3974
0.3156 0.3121
0.3520 0.3483
0.3859
0.4247
0.4090
0.3936
0.3897
0.4286
-0.1
0.4562
0.4522
0.4483
0.4364
0.4325
0.4880
0.5080 0.5120
0.5517
-0.0
0.5000
0.4920
0.4960
0.5040
0.5438
0.4840
0.5160
0.4761
0.4721
0.4681
0.5319
0.5675 05714
0.4641
0.5359
0.5753
0.0
0.5000
0.5199
0.5239
0.5279
0.1
0.5398
0.5478
0.5557
0.5596
0.5636
0.2
0.3
0.4
0.5793
0.6179
0.6554
0.5832
0.6217
0.6591
0.5871
0.6255
0.6628
0.5910 0.5948
0.6293
0.6331
0.6664
0.6700
0.5987
0.6368
0.6736
0.6026
0.6406
0.6772
0.6064
0.6103
0.6443 0.6480
0.6808
0.6141
0.6517
0.6879
0.6844
0.5
0.6
0.6915
0.7257
0.6950
0.7291
0.7190 0,7224
0.7549
0.6985 0.7019 0.7054
0.7088 0.7123
0.7422 0.7454
0.7157
0.7486 0.7517
0.7324
0.7357 0.7389
0.7580
0.7881
0.8159
0.7704
0.7995
0.8264
0.7852
0.8133
0.7
0.7611
0.7642 0.7673
0.7734
0.8023
0.8289
0.7764
0.8051
0.8315
0.7794
0.7823
0.8078
0.8106
0.8340 0.8365
0.8
0.7910 0.7939 0.7967
0.9
0.8186
0.8212 0.8238
0.8389
0.8413
0.8643
0.8849
0.8621
0.8830
0.9015
0.8531
1.0
1.1
1.2
0.8438 0.8461
0.8686
0.8888
0.9066
0.9222
0.8485
0.8508
0.8554
0.8577
0.8665
0.8869
0.8599
0.8790 0.8810
0.8980 0.8997
0.8708 0.8729
0.8749
0.8770
0.8925
0.9099
0.8907
0.8944 0.8962
1.3
0.9082
0.9032
0.9192
0.9049
0.9207
0.9115
0.9131
0.9279
0.9147
0.9162
0.9292 0.9306
0.9177
0.9319
1.4
0.9236 0.9251
0.9265
0.9332
0.9452 0.9463
0.9554
0.9345 0.9357
1.5
1.6
1.7
1.8
0.9370 0.9382
0.9495
0.9394 0.9406
0.9505
0.9418
0.9525
0.9616
0.9693
0.9429 0.9441
0.9474 0.9484
0.9573
0.9656
0.9515
0.9599 0.9608
0.9678 0.9686
0.9535
0.9545
0.9625
0.9633
0.9699 0.9706
0.9564
0.9582
0.9591
0.9664 0.9671
0.9641
0.9649
19
0.9713 0.9719 0.9726 0.9732 0.9738
0.9744
0.9750
0.9756
0.9761
0.9767
2.0
0.9772
0.9778 0.9783
0.9788
0.9803
0.9793
0.9838
0.9875
0.9798
0.9808 0.9812
0.9850
0.9817
0.9857
0.9821
0.9861
0.9830
0.9842
0.9878
2.1
0.9826
0.9834
0.9846
0.9854
2.2
0.9864
0.9868
0.9871
0.9881
0.9884
0.9887
0.9890
2.3
0.9893 0.9896 0.9898 0.9901
0.9904
0.9906
0.9909
0.9929 0.9931
0.9911
0.9913
0.9916
2.4
0.9918
0.9920
0.9922 0.9925 0.9927
0.9932
0.9934
0.9936
0.9938 0.9940 0.9941
0.9953
0.9965
0.9974
0.9981
0.9943 0.9945
2.5
2.6
2.7
0.9949 0.9951
0.9962
0.9963
0.9972 0.9973
0.9946 0.9948
0.9955 0.9956
0.9967
0.9957 0.9959 0.9960 0.9961
0.9969
0.9970
0.9952
0.9964
0.9974
0.9966
0.9968
0.9971
0.9978
0.9984
0.9979
0.9985
2.8
0.9980
0.9975
0.9982
0.9976
0.9982
0.9977
0.9977
0.9979
0.9981
0.9986
29
0.9983 0.9984
0.9985
0.9986
3.0
3.1
3.2
0.9987
0.9990
0.9993
0.9987
0.9991
0.9993
0.9988
0.9991
0.9994
0.9988
0.9992
0.9994
0.9989
0.9992
0.9994
0.9989
0.9992
0.9994
0.9989
0.9992
0.9995
0.9990
0.9993
0.9995
0.9990
0.9993
0.9995
0.9987
0.9991
0.9994
33
34
0.9995 0.9995
0.9997
0.9997
0.9995 0.9996 0.9996
0.9997
0.9996
0.9997
0.9996
0.9997
0.9996 0.9996 0.9997
0.9997
0.9997
0.9997
0.9997 0.9998
00
.01
.02
.03
.04
.05
.06
.07
.08
.09
Transcribed Image Text:TABLE V Standard Normal Distribution 00 .01 .02 .03 .04 .05 .06 07 .08 .09 Area -3.4 -3.3 -3.2 0.0003 0.0003 0.0005 0.0005 0.0007 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0003 0.0002 0.0003 0.0005 0.0005 0.0003 0.0003 0.0003 0.0003 0.0004 0.0006 0.0006 0.0005 0.0005 0.0004 0.0004 0.0004 0.0007 0.0006 0.0009 0.0013 -3.1 0.0010 0.0013 0.0009 0.0013 0.0009 0.0012 0.0008 0.0012 0.0008 0.0011 0.0008 0.0008 0.0011 0.0011 0.0007 0.0007 0.0010 0.0010 -3.0 0.0018 0.0018 0.0017 0.0014 0.0014 -2.9 -2.8 -2.7 0.0019 0.0016 0.0016 0.0015 0.0022 0.0015 0.0026 0.0025 0.0024 0.0023 0.0023 0.0021 0.0021 0.0020 0.0019 0.0027 0.0026 0.0029 0.0040 0.0039 0.0034 0.0032 0.0035 0.0047 0.0062 0.0033 0.0031 0.0041 0.0055 0.0030 0.0028 -2.6 -2.5 0.0045 0.0060 0.0038 0.0052 0.0051 0.0037 0.0036 0.0049 0.0048 0.0044 0.0043 0.0059 0,0057 0.0054 -2.4 -2.3 -2.2 0.0080 0.0104 0.0136 0.0174 0.0082 0.0107 0.0078 0.0075 0.0102 0.0132 0.0170 0.0073 0.0071 0.0094 0.0069 0.0068 0.0066 0.0064 0.0099 0.0096 0.0091 0.0089 0.0087 0.0084 0.0139 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 -2.1 0.0179 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 -2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 0.0281 0.0351 0.0436 0.0537 0.0239 0.0233 0.0301 -1.9 -1.8 -1.7 -16 0.0287 0.0359 0.0446 0.0548 0.0668 0.0274 0.0344 0.0427 0.0526 0.0268 0.0336 0.0418 0.0516 0.0262 0.0329 0.0409 0.0505 0.0495 0.0256 0.0322 0.0250 0.0244 0.0314 0.0307 0.0392 0.0384 0.0485 0.0475 0.0294 0.0375 0.0367 0.0465 0.0401 0.0455 -1.5 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 0.0778 0.0934 0.1112 0.1314 -1.4 0.0808 0.0793 0.0951 0.1131 0.1335 0.0764 0.0749 0.0735 0.0721 0.0708 0.0853 0.1020 0.1230 0.1210 0.0694 0.0681 -1.3 -1.2 -1.1 0.0885 0.0838 0.0968 0.1151 0.1357 0.0918 0.1093 0.1292 0.0901 0.1075 0.1271 0.0823 0.1003 0.0985 0.1190 0.0869 0.1056 0.1038 0.1251 0.1170 -1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 0.1762 0.1736 0.2033 0.2327 0.2643 -0.9 0.1841 0.1814 0.1788 0.1635 0.1611 0.1711 0.1685 0.1977 0.1660 0.1922 0.1949 0.2266 0.2236 0.2578 0.2546 0.2514 -08 0.2119 0.2090 0.2061 0.2005 0.1894 0.1867 0.2420 0.2743 0.3085 0.2296 0.2611 -0.7 0.2389 0.2709 0.2358 0.2676 0.2206 0.2177 0.2148 -0.6 -0.5 0.2483 0.2451 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776 -0.4 -0.3 -0.2 0.3446 0.3821 0.4207 0.4602 0.3409 0.3783 0.4168 0.3372 0.3745 0.4129 0.3300 0.3669 0.4052 0.4443 0.3264 0.3632 0.4013 0.4404 0.4801 0.3336 0.3707 0.3228 0.3192 0.3594 0.3557 0.3974 0.3156 0.3121 0.3520 0.3483 0.3859 0.4247 0.4090 0.3936 0.3897 0.4286 -0.1 0.4562 0.4522 0.4483 0.4364 0.4325 0.4880 0.5080 0.5120 0.5517 -0.0 0.5000 0.4920 0.4960 0.5040 0.5438 0.4840 0.5160 0.4761 0.4721 0.4681 0.5319 0.5675 05714 0.4641 0.5359 0.5753 0.0 0.5000 0.5199 0.5239 0.5279 0.1 0.5398 0.5478 0.5557 0.5596 0.5636 0.2 0.3 0.4 0.5793 0.6179 0.6554 0.5832 0.6217 0.6591 0.5871 0.6255 0.6628 0.5910 0.5948 0.6293 0.6331 0.6664 0.6700 0.5987 0.6368 0.6736 0.6026 0.6406 0.6772 0.6064 0.6103 0.6443 0.6480 0.6808 0.6141 0.6517 0.6879 0.6844 0.5 0.6 0.6915 0.7257 0.6950 0.7291 0.7190 0,7224 0.7549 0.6985 0.7019 0.7054 0.7088 0.7123 0.7422 0.7454 0.7157 0.7486 0.7517 0.7324 0.7357 0.7389 0.7580 0.7881 0.8159 0.7704 0.7995 0.8264 0.7852 0.8133 0.7 0.7611 0.7642 0.7673 0.7734 0.8023 0.8289 0.7764 0.8051 0.8315 0.7794 0.7823 0.8078 0.8106 0.8340 0.8365 0.8 0.7910 0.7939 0.7967 0.9 0.8186 0.8212 0.8238 0.8389 0.8413 0.8643 0.8849 0.8621 0.8830 0.9015 0.8531 1.0 1.1 1.2 0.8438 0.8461 0.8686 0.8888 0.9066 0.9222 0.8485 0.8508 0.8554 0.8577 0.8665 0.8869 0.8599 0.8790 0.8810 0.8980 0.8997 0.8708 0.8729 0.8749 0.8770 0.8925 0.9099 0.8907 0.8944 0.8962 1.3 0.9082 0.9032 0.9192 0.9049 0.9207 0.9115 0.9131 0.9279 0.9147 0.9162 0.9292 0.9306 0.9177 0.9319 1.4 0.9236 0.9251 0.9265 0.9332 0.9452 0.9463 0.9554 0.9345 0.9357 1.5 1.6 1.7 1.8 0.9370 0.9382 0.9495 0.9394 0.9406 0.9505 0.9418 0.9525 0.9616 0.9693 0.9429 0.9441 0.9474 0.9484 0.9573 0.9656 0.9515 0.9599 0.9608 0.9678 0.9686 0.9535 0.9545 0.9625 0.9633 0.9699 0.9706 0.9564 0.9582 0.9591 0.9664 0.9671 0.9641 0.9649 19 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 2.0 0.9772 0.9778 0.9783 0.9788 0.9803 0.9793 0.9838 0.9875 0.9798 0.9808 0.9812 0.9850 0.9817 0.9857 0.9821 0.9861 0.9830 0.9842 0.9878 2.1 0.9826 0.9834 0.9846 0.9854 2.2 0.9864 0.9868 0.9871 0.9881 0.9884 0.9887 0.9890 2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9929 0.9931 0.9911 0.9913 0.9916 2.4 0.9918 0.9920 0.9922 0.9925 0.9927 0.9932 0.9934 0.9936 0.9938 0.9940 0.9941 0.9953 0.9965 0.9974 0.9981 0.9943 0.9945 2.5 2.6 2.7 0.9949 0.9951 0.9962 0.9963 0.9972 0.9973 0.9946 0.9948 0.9955 0.9956 0.9967 0.9957 0.9959 0.9960 0.9961 0.9969 0.9970 0.9952 0.9964 0.9974 0.9966 0.9968 0.9971 0.9978 0.9984 0.9979 0.9985 2.8 0.9980 0.9975 0.9982 0.9976 0.9982 0.9977 0.9977 0.9979 0.9981 0.9986 29 0.9983 0.9984 0.9985 0.9986 3.0 3.1 3.2 0.9987 0.9990 0.9993 0.9987 0.9991 0.9993 0.9988 0.9991 0.9994 0.9988 0.9992 0.9994 0.9989 0.9992 0.9994 0.9989 0.9992 0.9994 0.9989 0.9992 0.9995 0.9990 0.9993 0.9995 0.9990 0.9993 0.9995 0.9987 0.9991 0.9994 33 34 0.9995 0.9995 0.9997 0.9997 0.9995 0.9996 0.9996 0.9997 0.9996 0.9997 0.9996 0.9997 0.9996 0.9996 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 00 .01 .02 .03 .04 .05 .06 .07 .08 .09
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 1500 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 1050 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 1500 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 1050 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 1500 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 1050 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 1500 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 1050 chocolate chips is in the th percentile. (Round to the nearest integer as needed.)
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ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman