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 1100 and 1400 chocolate chips? (b) What is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) What proportion of bags contains more than 1200 chocolate chips? (d) What is the percentile rank of a bag that contains 1000 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 1100 and 1400 chocolate chips is. (Round to four decimal places as needed.)
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 1100 and 1400 chocolate chips? (b) What is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) What proportion of bags contains more than 1200 chocolate chips? (d) What is the percentile rank of a bag that contains 1000 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 1100 and 1400 chocolate chips is. (Round to four decimal places 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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Part a,b
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 1100 and 1400 chocolate chips?
(b) What is the probability that a randomly selected bag contains fewer than 1125 chocolate chips?
(c) What proportion of bags contains more than 1200 chocolate chips?
(d) What is the percentile rank of a bag that contains 1000 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 1100 and 1400 chocolate chips is
(Round to four decimal places as needed.)
Transcribed Image Text:TABLE V
Standard Normal Distribution
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
Area
0.0003
0.0005 0.0004
-34
0.0003 0.0003
0.0003
0.0003
0.0003
0.0003
0.0003
0.0004
0.0003
0.0002
-3.3
-3.2
-3.1
-3.0
0.0005 0.0005
0.0007 0.0007
0.0004
0.0006
0.0008
0.0011
0.0004
0.0006
0.0004 0.0004
0.0003
0.0005
0.0006
0.0009
0.0013
0.0006
0.0006
0.0005 0.0005
0.0010
0.0009
0.0009
0.0008
0.0008
0.0008
0.0007 0.0007
0.0013
0.0013
0.0012
0.0012
0.0011
0.0011
0.0010 0.0010
-29
-2.8
-2.7
0.0018
0.0024
0.0033
0.0019 0.0018
0.0017
0.0016
0.0016
0.0022
0.0015
0.0015
0.0014
0.0014
0.0019
0.0026
0.0025
0.0021
0.0029
0.0026
0.0023
0.0032
0.0023
0.0031
0.0021
0.0020
0.0028 0.0027
0.0035 0.0034
0.0030
0.0047
0,0045
0.0062 0.0060
0.0038 0.0037
0.0051 0.0049
-2.6
0.0044
0.0059
0.0043
0.0057
0.0041
0.0040
0.0039
0.0036
-2.5
0.0055
0.0054
0.0052
0.0048
0.0075
0.0099
0.0132 0.0129
0.0064
0.0084
0.0110
0.0143
0.0183
-24
0.0082 0.0080
0.0107
0.0139 0.0136
0.0078
0.0073
0.0071
0.0069
0.0068 0,0066
0.0089
-2.3
-2.2
0,0104 0.0102
0.0091
0.0119
0.0087
0,0116 0.0113
0.0096
0.0094
0.0125
0.0122
-2.1
0.0179 0.0174 0.0170 0.0166 0.0162 0.0158
0.0154
0.0150
0.0146
-2.0
0.0228
0.0222
0.0217 0.0212
0.0207
0.0202
0.0197 0.0192
0.0188
0.0281
0,0351
0.0436
-19
0.0287
0.0359
0.0274
0.0344
0.0427
0.0526
0.0268
0.0262
0.0256
0.0329 0.0322
0.0401
0.0495
0.0250
0.0244
0.0307
0.0384
0.0475
0.0239
0.0233
-1.8
-1.7
-1.6
0.0336
0.0418
0.0314
0.0392
0.0485
0,0301
0.0375
0,0294
0.0367
0.0446
0.0409
0.0465
0.0571
0.0548
0,0537
0.0516
0.0505
0.0455
-1.5
0.0668 0.0655
0.0643
0.0630
0.0618
0.0606
0.0594
0.0582
0.0559
0.0808
0.0968
0.1151 0.1131
0.1357 0.1335 0.1314
0.1587 0.1562
0.0749
0.0901
0.1075
0.1271
0.1492
0.0721
0,0869
0,1038
0.1230
0.1446
0.0708
0.0853
0.1020
0.1210
0.0793
0.0778
0.0934
0.0764
0.0735
0.0885
0.1056
0.1251
0.0694
0.0681
-14
-1.3
0.0951
0.0838
0.0823
0.0918
0.1093
-1.2
-11
0.1112
0.1003
0.1292
0.1539 0.1515
0.0985
0.1190 0.1170
0.1401
-1.0
0.1469
0.1423
0.1379
0.1814
0.1685
0.1660
0.1949 0.1922
0.1635 0.1611
0.1894
0.1867
02177
-0.9
0.1841
0.2119 0.2090
0.2420
0.1788 0.1762
0.1736
0.2005
0.1711
0.1977
-08
0.2061
0.2033
0.2358
0.2389
0.2709
02327
-0,7
-0.6
0.2296
0.2611
0.2266
0.2578
0.2236
0.2546
0.2206
0.2514
0.2843
0.2148
0.2451
0.2776
0.2743
0.2676
02643
0.2483
0.2810
-0.5
0.3085
0.3050
0.3015
0.2981
0.2946
0.2912
0.2877
0.3372
03745
0.4129
0.4522 0.4483
0.4920
0.5080
0.5478 0.5517
-0.4
-0.3
0.3446 0.3409
0.3821
0.3783
0.4207
0.4168
0,4602
0.4562
0.5000
0.4960
0.5000
0.5040
0.5398 0.5438
0.3300
0.3264
0.3707 0.3669 0.3632 0.3594
0.3336
0.3228 0.3192
0.3156 0.3121
0.3483
03557 0.3520
0.3897
0.3936
0.4325
0.4286
-0.2
0.4052
0.4013
0.4443 0.4404
0.4801
0.5199 0.5239
0.5596
0.3974
0.4364
0.3859
0.4247
0.4090
0.4880
05120
0.4840
0.5160
0.4761
0.4681
0.5279 05319
05714
0.6103
0.6443 0.6480 0.6517
0.6844
-0.0
0.4721
0.4641
0.5359
0.5753
0.6141
00
0.1
0.557
0.5636
0.5675
0.5832
0.6179 0.6217
0.6554
0.6026
0.6406
0.6772
0.5793
0.5871
0.6255
0.6628
0.5987
0.6368
0.6700 0.6736
0.2
0.5910
0.5948
0.6064
0.3
0.4
06293
0.6664
0.6331
0,6591
0.6808
0.6879
0,7123 0.7157 0.7190
0.5
0.6
0.6915 0.6950
0.7257
0.7019
0.7324 0.7357
0.7642 0.7673
0.7939 0.7967
0.8212 0.8238 0.8264
0.7054 0.7088
0.7389
0.7224
0.7549
0.6985
0.7291
0.7422 0.7454 0.7486 0.7517
0.7580 0.7611
0.7881
0.7794 0.782
0.8078
0.7
0.7704
0.7734
0.7764
0.7852
0.8
0.9
0.7910
0.8159 0.8186
0.8023
0.8289
0.8051
0.8315
0.7995
0.8106
0.8365
0.8133
0.8389
0.8340
0,8577
0.8790
0.8621
0.8830
0.9015
10
0.8413 0.8438
0.8643
1.1
1.2
0.8849
0.8461
0.8485
0.8508
08729
0.8925
0.8531
0.8554
0.8599
0.8665
0.8869
0.9049
0.9207
0.8686
0.8888
0.8708
0.8907
0.9082
0.9236
0.8749 0.8770
0.8944
0.9115
0.9265
0.8810
0.8980 0.8997
0.9147 0.9162
0.9292
0.8962
1.3
14
0.9032
0.9066
0.9099
0.9131
0.9177
0.9192
0.9222
0.9251
0.9279
0.9306
0.9319
0.9394
0.9406
0.9505 0.9515
0.9332
0.9345
0.9382
0.9495
0.9591
0.9671
0.9738
0.9418 0.9429
0.9525 0.9535
0.9616 0.9625
0.9441
1.5
1.6
0.9357
0.9370
0.9452 0.9463
0.9564
0.9554
0.9641
0.9649
0.9474
0.9573
0.9656
0.9484
0.9582
0.9664
0.9732
0.9545
0.9633
0.9706
1.7
0.9599 0.9608
18
0.9678
0.9686
0.9693 0.9699
1.9
0.9713
0.9719
0.9726
0.9744
0.9750
0.9756
0.9761
0.9767
0.9793
0.9838
0.9875
0.9803
0.9842 0.9846
0.9881
0.9909
0.9929 0.9931
0.9812
0.9854
0.9887
2.0
0.9783
0.9817
0.9772
0.9821
0.9861
0.9778
0.9788
0.9798
0.9808
2.1
22
0.9826
0.9864
0.9834
0.9871
0.9850
0.9884
0.9857
0.9890
0.9830
0.9868
0.9898
0.9922
0.9878
0.9893
0.9918
0.9904
0.9927
0.9916
0.9936
23
0.9896
0.9901
0.9925
0.9906
0.9911 0.9913
24
0.9920
0.9932 0.9934
0.9938
0.9953 0.9955
0.9965 0.9966
0.9946
0.9959 0.9960
0.9969
25
0.9940
0.9941
0.9943
0.9945
0.9948
0.9949 0.9951
0.9952
2.6
2.7
0.9956
0.9967
0.9962 0.9963
0.9971 0.9972 0.9973
0.9957
0.9961
0,9964
0.9974
0.9968
0.9970
28
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
3.0
3.1
3.2
0.9987
0.9990
0.9991
0.9993 0.9993
0.9987
0.9987
0.9988
0.9988
0.9989
0.9989
0.9989 0.9990
0.9990
0.9991
0.9994
0.9991
0.9994
0.9996
0.9992
0.9994
0.9992 0.9992
0.9994 0.9994
0.9993
0.9995 0.9995
0.9996
0.9993
0.9995
0.9997
0.9992
0.9996
0.9997
0.9996
0.9997
0.9996
0.9996
0.9997 0.9997
33
0.9995 0.9995 0.9995
34
0.9997
0.9997
0.9997
0.9997
0.9997
0.9998
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
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