Auto batteries have an average life of 2.7 years. Battery life is normally distributed with a mean of 2.7 years and a standard deviation of 0.43 years. The batteries are warranted to operate for a minimum of 2 years. If a battery fails within the warranty period, it will be replaced with a new battery at no charge. The company sells and installs the batteries. Also, the usual $5 installation charge will be waived. Use and Table B. a. What percentage of batteries would you expect to fail before the warranty period expires? (Round your z value to 2 decimal places. Round probabilities to 4 decimal places. Round your final answer to 2 decimal places.) Percentage b. A competitor is offering a warranty of 26 months on its premium battery. The manager of this company is toying with the idea of using the same battery with a different exterior, labeling it as a premium battery, and offering a 26-month warranty on it. What percentage of the batteries would you expect to fail before this new warranty period expires? (Round your z value to 2 decimal places. Round probabilities to 4 decimal places. Round your final answer to 2 decimal places.) Percentage
Auto batteries have an average life of 2.7 years. Battery life is normally distributed with a mean of 2.7 years and a standard deviation of 0.43 years. The batteries are warranted to operate for a minimum of 2 years. If a battery fails within the warranty period, it will be replaced with a new battery at no charge. The company sells and installs the batteries. Also, the usual $5 installation charge will be waived. Use and Table B. a. What percentage of batteries would you expect to fail before the warranty period expires? (Round your z value to 2 decimal places. Round probabilities to 4 decimal places. Round your final answer to 2 decimal places.) Percentage b. A competitor is offering a warranty of 26 months on its premium battery. The manager of this company is toying with the idea of using the same battery with a different exterior, labeling it as a premium battery, and offering a 26-month warranty on it. What percentage of the batteries would you expect to fail before this new warranty period expires? (Round your z value to 2 decimal places. Round probabilities to 4 decimal places. Round your final answer to 2 decimal places.) Percentage
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
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Transcribed Image Text:Auto batteries have an average life of 2.7 years. Battery life is normally distributed with a mean of 2.7 years and a standard deviation of
0.43 years. The batteries are warranted to operate for a minimum of 2 years. If a battery fails within the warranty period, it will be
replaced with a new battery at no charge. The company sells and installs the batteries. Also, the usual $5 installation charge will be
waived.
Use and Table B.
a. What percentage of batteries would you expect to fail before the warranty period expires? (Round your z value to 2 decimal places.
Round probabilities to 4 decimal places. Round your final answer to 2 decimal places.)
Percentage
%
b. A competitor is offering a warranty of 26 months on its premium battery. The manager of this company is toying with the idea of
using the same battery with a different exterior, labeling it as a premium battery, and offering a 26-month warranty on it. What
percentage of the batteries would you expect to fail before this new warranty period expires? (Round your z value to 2 decimal
places. Round probabilities to 4 decimal places. Round your final answer to 2 decimal places.)
Percentage
Transcribed Image Text:Table B
1. Areas under the
standardized normal
curve, from - to -z
.09
.08
.07
.06
.05
.04
.03
.02
01
,00
.0002
.0003
.0003
.0003
.0003
.0003
.0003
.0003
.0003
.0003
-3.4
.0003
.0004
.0004
.0004
.0004
.0004
.0004
.0005
.0005
.0005
-3.3
.0005
.0005
.0005
.0006
.0006
.0006
.0006
.0006
.0007
.0007
-3.2
.0007
.0007
.0008
.0008
.0008
.0008
.0009
.0009
.0009
.0010
-3.1
.0010
.0010
.0011
.0011
.0011
.0012
.0012
.0013
.0013
.0013
-3.0
.0014
.0014
.0015
.0015
.0016
.0016
.0017
.0018
.0018
.0019
-2.9
.0019
.0020
.0021
.0021
.0022
.0023
.0023
.0024
.0025
.0026
-2.8
.0026
.0027
.0028
.0029
.0030
.0031
.0032
.0033
.0034
.0035
-2.7
.0036
.0037
.0038
.0039
.0040
.0041
.0043
.0044
.0045
.0047
-2.6
.0048
.0049
.0051
.0052
.0054
.0055
.0057
.0059
.0060
.0062
-2.5
.0064
.0066
.0068
.0069
.0071
.0073
.0075
.0078
.0080
.0082
-2.4
.0084
.0087
.0089
.0091
.0094
.0096
.0099
.0102
.0104
.0107
-2.3
.0110
.0113
.0116
.0119
.0122
.0125
.0129
.0132
.0136
.0139
-2.2
.0143
.0146
.0150
.0154
.0158
.0162
.0166
.0170
.0174
.0179
-2.1
.0183
.0188
.0192
.0197
.0202
.0207
.0212
.0217
.0222
.0228
-2.0
.0233
.0239
.0244
.0250
.0256
.0262
.0268
.0274
.0281
.0287
-1.9
.0294
.0301
.0307
.0314
.0322
.0329
.0336
.0344
.0351
.0359
-1.8
.0367
.0375
.0384
.0392
.0401
.0409
.0418
.0427
.0436
.0446
-1.7
.0455
.0465
.0475
.0485
.0495
.0505
.0516
.0526
.0537
.0548
-1.6
.0559
.0571
.0582
.0594
.0606
.0618
.0630
.0643
.0655
.0668
-1.5
.0681
.0694
.0708
.0721
.0735
.0749
.0764
.0778
.0793
.0808
-1.4
.0823
.0838
.0853
.0869
.0885
.0901
.0918
.0934
.0951
.0968
-1.3
.0985
.1003
.1020
.1038
.1056
.1075
.1093
.1112
.1131
.1151
-1.2
.1170
.1190
.1210
.1230
1251
1271
.1292
.1314
.1335
.1357
-1.1
.1379
.1401
.1423
.1446
.1469
.1492
.1515
.1539
.1562
.1587
-1.0
.1611
.1635
.1660
.1685
.1711
.1736
.1762
.1788
.1814
.1841
-0.9
.1867
.1894
.1922
.1949
.1977
2005
.2033
.2061
.2090
.2119
-0.8
.2148
.2177
2206
.2236
.2266
.2296
.2327
2358
.2389
2420
-0.7
2451
.2483
2514
2546
2578
2611
2643
2676
.2709
.2743
-0.6
.2776
.2810
2843
2877
2912
2946
.2981
.3015
.3050
.3085
-0.5
3121
.3156
3192
3228
.3264
3300
3336
3372
.3409
3446
-0.4
.3483
.3520
3557
3594
3632
3669
3707
3745
.3783
.3821
-0.3
.3859
.3897
3936
3974
4013
4052
4090
.4129
.4168
4207
-0.2
4247
4286
4325
4364
.4404
4443
4483
.4522
4562
.4602
-0.1
.4641
.4681
4721
4761
4801
4840
4880
.4920
.4960
.5000
-0.0
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