A vending machine is designed to dispense a mean of 7.3 oz of coffee into an 8-oz cup. If the standard deviation of the amount of coffee dispensed is 0.3 oz and the amount is normally distributed, find the percent of times the machine will dispense less than 7.03 oz. Click here to vieW page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table.O O Areas of a Standard Normal Distribution O Areas of a Standard Normal Distribution The percentage of times the machine will dispense less than 7.03 oz is% (Type an integer or a decimal rounded to two decimal places as needed.)
A vending machine is designed to dispense a mean of 7.3 oz of coffee into an 8-oz cup. If the standard deviation of the amount of coffee dispensed is 0.3 oz and the amount is normally distributed, find the percent of times the machine will dispense less than 7.03 oz. Click here to vieW page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table.O O Areas of a Standard Normal Distribution O Areas of a Standard Normal Distribution The percentage of times the machine will dispense less than 7.03 oz is% (Type an integer or a decimal rounded to two decimal places as needed.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Transcribed Image Text:A vending machine is designed to dispense a mean of 7.3 oz of coffee into an 8-oz cup. If the standard deviation of the amount of coffee dispensed is 0.3 oz and the amount is normally distributed, find the percent of times the machine will dispense less than 7.03 oz.
Click here to view page 1 of the standard normal distribution table.
Click here to view page 2 of the standard normal distribution table.
Areas of a Standard Normal Distribution
Areas of a Standard Normal Distribution
The percentage of times the machine will dispense less than 7.03 oz is %.
(Type an integer or a decimal rounded to two decimal places as needed.)
Table of Areas to the Left of z When z Is Positive
Table of Areas to the Left of z When z Is Negative
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
5040 .5080 5120 5160
0.0 .5000
0.1 .5398 5438 .5478 .5517 5557
0.2 5793 5832
.5199
.5239
5279 5319 5359
-3.4 .0003
.0003
.0003
.0003
.0002
.0003
.0005
.0003 .0003 .0003 .0003
.5596
.5636 .5675 5714 .5753
- 3.3 .0005
.0005 .0004 .0004 .0004 .0004
.0004
.0004 .0003
.5871 5910 5948 5987
.6026
.6064
.6103
.6141
-3.2 .0007 .0007
.0006 .0006 0006 .0006 .0006 .0005
.0005 .0005
.6255 .6293
.6331
.6368
.6443
.6517
0.3 .6179 .6217
.6591
.6406
.6480
.0009 .0009 .0008 .0008 .0008 .0008 .0007 .0007
.0013 .0012 .0012 .0011 .0011 .0011
-3.1
.0010 .0009
.6700
.6736
.6772
0.4 .6554
0.5 .6915 .6950
.6628
.6664
.6808
.6844
.6879
-3.0 .0013 .0013
.0010 .0010
.7157
.7486
.7054
.7123
.7190
.7224
.6985
.7324 .7357
.7019
.7088
-2.9
.0019 .0018 .0018 .0017 .0016 .0016 .0015 .0015
.0014 .0014
.7389
.7422
.7454
.7517
.7549
0.6 .7257 .7291
.7611
.0024 .0023 .0023 .0022 .0021 .0021
.0030 .0029 .0028
.0038
-2.8
.0026 .0025
.0020 .0019
0.7
.7580
.7642
.7673
.7704
.7734 .7764
.7794
.7823 .7852
-2.7 .0035 .0034 .0033
.0032 .0031
.0027 .0026
0.8
.7881
.7910
.7939
.7967 .7995
.8023
.8051
.8078
.8106
.8133
.0037 .0036
- 2.6 .0047 .0045
-2.5
.0044
.0043 .0041 .0040
.0039
0.9
.8159
.8186
.8212
.8238
.8264
.8289
.8315
.8340
.8365
.8389
.0062 .0060 .0059
.0057 .0055 .0054
.0052 .0051
.0049
.0048
1.0
.8413
.8438
.8461
.8485
.8508
.8531
.8554
.8577
.8599
.8621
-2.4
.0082 .0080 .0078
.0075 .0073 .0071 0069
.0068 .0066
.0064
.8729
8749
.8770
.8790
.8810
.8830
1.1
.8643
.8665
.8686
.8708
-2.3
.0107 .0104 .0102
.0099 .0096
.0094
.0091
.0089
.0087 .0084
1.2
.8849
.8869
.8888
.8907
.8925
.8944
.8962
.8980
.8997
.9015
- 2.2 .0139 .0136 .0132
.0129 .0125 .0122
.0119
.0116
.0113
.0110
1.3
.9032
.9049
9066
.9082
.9099
.9115
.9131
.9147
.9162
.9177
.0154 .0150
.0146 .0143
.0158
.0202
.0256 .0250
.0322
.0179 .0174 .0170
.0228
-2.1
.0166 .0162
1.4
.9192
.9207
.9222
.9236
.9251
.9265
9279
.9292
.9306
.9319
.0188
.0183
.0212 .0207
.0262
-2.0
.0222 .0217
.0197
.0192
.9332
.9345
.9357
.9370
.9382
.9394
.9406
.9418
.9429
9441
1.5
.0268
.0244
.0239
.0233
.0287
.0359 .0351 .0344
-1.9
.0281
.0274
1.6
.9452
.9463
.9474
.9484
.9495 .9505 .9515 .9525 9535 9545
.0301
.0375 .0367
-1.8
.0336
.0329
.0314
.0307
.0294
.9554
.9564
.9573
.9582
.9591
.9599
.9608
.9616
9625
.9633
1.7
-1.7
.0446 .0436 .0427
.0418
.0409
.0401
.0392
.0384
.9649
.9656
.9664
.9671
9678
.9686
.9693
.9699
.9706
1.8
.9641
.0475
.0465 .0455
.0526 .0516 .0505 .0495
.0606
-1.6
.0548 .0537
.0485
.9761
.9812
1.9
.9713
.9719
.9726
.9732
.9738
.9744
.9750
.9756
.9767
-1.5
.0668
.0655 .0643 .0630
.0618
.0594
.0582
.0571
.0559
.9783
.9788
.9793
.9798
.9803
.9808
.9817
2.0
.9772
.9778
-1.4
.0808 .0793 .0778 .0764 .0749 .0735.0721
.0708
.0694
.0681
.9834
.9838
.9842
.9846
.9850
.9854
.9857
2.1
.9821
.9826
.9830
.0869 .0853
.1020
.0838
.0823
-1.3 .0968 .0951 .0934 .0918 .0901 .0885
.1131 .1112 .1093 .1075 .1056
.1292 .1271 .1251
2.2
.9861
.9864
.9868
.9871
.9875
.9878
.9881
.9884
9887
.9890
-1.2
.1151
.1038
.1003
.0985
.9901
.9904
.9906
.9909
.9911
.9913
.9916
2.3
.9893
.9896
.9898
.1230
.1210
.1190
.1170
.1357 .1335 .1314
.1587
-1.1
2.4
.9918
.9920
.9922
.9925
.9927
.9929
.9931
.9932
.9934
.9936
-1.0
.1562 .1539
.1515 .1492 .1469 .1446
.1423
.1401
.1379
.9946
.9948
.9949
.9951
.9952
2.5
.9938
.9940
.9941
.9943
9945
-0.9
.1841
.1814
.1788
.1762 .1736
.1711 .1685
.1660
.1635
.1611
.9955
.9956
.9957
.9959
.9960
.9961
.9962
.9963
.9964
2.6
.9953
-0.8
2119
.2090
2061
.2033
.2005
.1977
.1949
.1922
.1894
.1867
.9970
.9971
.9972
.9973
.9974
2.7
.9965
.9966
.9967
.9968
.9969
.2148
.2451
.2266
.2236
.2206
.2177
.2358
.2676
-0.7
2420
.2389
.2327
.2296
2.8
.9974
.9975
.9976
.9977
.9977
.9978
.9979
.9979
.9980
.9981
-0.6
2743
.2709
.2643
.2611
.2578
2546
.2514
.2483
.9985
.9985
.9986
.9986
2.9
.9981
.9982
.9982
.9983
.9984
.9984
-0.5
3085
.3050
.3015
.2981
.2947
.2912
.2877
.2843
.2810
.2776
.9989
.9989
.9989
.9990
.9990
3.0
9987
.9987
.9987
.9988
.9988
-0.4
3446
.3409
.3372
.3336
.3300
.3264
.3228
.3192
.3156
.3121
.9992
.9992
.9992
.9992
.9993
.9993
3.1
.9990
.9991
.9991
.9991
-0.3
.3821
.3783
.3745
3707
.3669
.3632
.3594
.3557
.3520
.3483
.9994
.9994
.9995
.9995
.9995
3.2
.9993
.9993
.9994
.9994
.9994
-0.2
4207
4168
.4129
.4090
.4052
.4013
.3974
.3936
.3897
.3859
.9996
.9996
,9997
.9996
.9997
3.3
9995
.9995
.9995
9996
9996
.9996
-0.1
4602
.4562
.4522
.4483
.4443
.4404
,436
.4325
.4286
.4247
.9997
.9997
.9997
.9997
.9997
.9998
3.4
,9997
.9997
.9997
-0.0 5000
.4960
.4920
4880
.4840
.4801
.4761
.4721
.4681
.4641
For z values greater than 3.49, use 1.000 to approximate the area.
For values of z less than -3.49, use 0.000 to approximate the area.
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