with mean μ and variance o², what is the exact value of P(μ-3σ
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 4GP
Related questions
Question
100%
I need help with this please
![Areas under the Normal Curve
=
.00
.02
.03
.01
.04
.05
.06 .07 .08
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%
-3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 -3.4
-3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 -3.3
-3.2
0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 -3.2
-3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 -3.1
-3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 -3.0
-2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 -2.9
-2.8
0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 -2.8
-2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030
0.0027 0.0026 -2.7
-2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039
-2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052
-2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069
-2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091
-2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119
-2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158
-2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202
-1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250
-1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307
-1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384
-1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475
-1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582
-1.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708
-1.3 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853
-1.2
0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020
-1.1
0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210
-1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423
-0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660
-0.8 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894
-0.7 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 -0.7
-0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451 -0.6
-0.5 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776 -0.5
-0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121 -0.4
-0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483 -0.3
-0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859 -0.2
-0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247 -0.1
-0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641 -0.0
.00
.01
.02
.03
.04
.05
.06
.07
.08 .09
Areas under the Normal Curve
.00
0.0
0.0029
0.0028
0.0038
0.0037
0.0036 -2.6
0.0051
0.0049
0.0048 -2.5
0.9
.01 .02
.03
.04
.05
.06 .07 .08
.09
0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 0.0
0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.1
0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.2
0.3
0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517
0.3
0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.4
0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.5
0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.6
0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.7
0.8
0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.8
0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 0.9
0.0068
0.0066
0.0064 -2.4
1.0
0.0089
0.0087
0.0084 -2.3
1.1
0.0116
0.0113
0.0110 -2.2
1.2
0.0154
0.0150
0.0146
0.0143 -2.1
1.3
0.0197
0.0192
0.0188
0.0183 -2.0
1.4
0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 1.0
0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 1.1
0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 1.2
0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.3
0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319
1.4
0.0244
0.0239 0.0233 -1.9
1.5
0.0301
0.0294 -1.8
1.6
0.0375
0.0367 -1.7
1.7
0.0465
0.0455 -1.6
1.8
0.0571
0.0559 -1.5
1.9
0.0694
0.0681 -1.4
2.0
0.0838
0.0823 -1.3
2.1
0.1003
0.0985 -1.2
2.2
0.1190
0.1170 -1.1
2.3
0.1401
0.1379 -1.0
2.4
0.1635
0.1611 -0.9
2.5
0.1867 -0.8
2.6
3.2
с
¡A
3.3
3.4
0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.5
0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 1.6
0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.7
0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 1.8
0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 1.9
0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 2.0
0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 2.1
0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 2.2
0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 2.3
0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 2.4
0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 2.5
0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 2.6
2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 2.7
2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 2.8
2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 2.9
3.0
0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 3.0
3.1 0.9990 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993 3.1
0.9994 0.9995 0.9995 0.9995 3.2
0.9993 0.9993 0.9994 0.9994 0.9994 0.9994
0.9995 0.9995 0.9995 0.9996 0.9996 0.9996
0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 3.4
0.9996 0.9996 0.9996 0.9997 3.3
B
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F364f9b41-b870-44dd-80a1-5484385d0f56%2F600515d5-a0c2-4a85-957e-a7e9d6f639a4%2Fqstg4o_processed.png&w=3840&q=75)
Transcribed Image Text:Areas under the Normal Curve
=
.00
.02
.03
.01
.04
.05
.06 .07 .08
.09
%
-3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 -3.4
-3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 -3.3
-3.2
0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 -3.2
-3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 -3.1
-3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 -3.0
-2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 -2.9
-2.8
0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 -2.8
-2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030
0.0027 0.0026 -2.7
-2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039
-2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052
-2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069
-2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091
-2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119
-2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158
-2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202
-1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250
-1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307
-1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384
-1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475
-1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582
-1.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708
-1.3 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853
-1.2
0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020
-1.1
0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210
-1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423
-0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660
-0.8 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894
-0.7 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 -0.7
-0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451 -0.6
-0.5 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776 -0.5
-0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121 -0.4
-0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483 -0.3
-0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859 -0.2
-0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247 -0.1
-0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641 -0.0
.00
.01
.02
.03
.04
.05
.06
.07
.08 .09
Areas under the Normal Curve
.00
0.0
0.0029
0.0028
0.0038
0.0037
0.0036 -2.6
0.0051
0.0049
0.0048 -2.5
0.9
.01 .02
.03
.04
.05
.06 .07 .08
.09
0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 0.0
0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.1
0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.2
0.3
0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517
0.3
0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.4
0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.5
0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.6
0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.7
0.8
0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.8
0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 0.9
0.0068
0.0066
0.0064 -2.4
1.0
0.0089
0.0087
0.0084 -2.3
1.1
0.0116
0.0113
0.0110 -2.2
1.2
0.0154
0.0150
0.0146
0.0143 -2.1
1.3
0.0197
0.0192
0.0188
0.0183 -2.0
1.4
0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 1.0
0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 1.1
0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 1.2
0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.3
0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319
1.4
0.0244
0.0239 0.0233 -1.9
1.5
0.0301
0.0294 -1.8
1.6
0.0375
0.0367 -1.7
1.7
0.0465
0.0455 -1.6
1.8
0.0571
0.0559 -1.5
1.9
0.0694
0.0681 -1.4
2.0
0.0838
0.0823 -1.3
2.1
0.1003
0.0985 -1.2
2.2
0.1190
0.1170 -1.1
2.3
0.1401
0.1379 -1.0
2.4
0.1635
0.1611 -0.9
2.5
0.1867 -0.8
2.6
3.2
с
¡A
3.3
3.4
0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.5
0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 1.6
0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.7
0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 1.8
0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 1.9
0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 2.0
0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 2.1
0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 2.2
0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 2.3
0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 2.4
0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 2.5
0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 2.6
2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 2.7
2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 2.8
2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 2.9
3.0
0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 3.0
3.1 0.9990 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993 3.1
0.9994 0.9995 0.9995 0.9995 3.2
0.9993 0.9993 0.9994 0.9994 0.9994 0.9994
0.9995 0.9995 0.9995 0.9996 0.9996 0.9996
0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 3.4
0.9996 0.9996 0.9996 0.9997 3.3
B
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
![According to Chebyshev's theorem, the probability that any random variable assumes a value within 3 standard
8
deviations of the mean is at least. If it is known that the probability distribution of a random variable X is normal
with mean μ and variance o², what is the exact value of P(μ-30 <X<μ+30)?
Click here to view page 1 of the standard normal distribution table.
Click here to view page 2 of the standard normal distribution table.
P(μ-30<x<μ+3)=
(Round to four decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F364f9b41-b870-44dd-80a1-5484385d0f56%2F600515d5-a0c2-4a85-957e-a7e9d6f639a4%2Fnaupz7q_processed.png&w=3840&q=75)
Transcribed Image Text:According to Chebyshev's theorem, the probability that any random variable assumes a value within 3 standard
8
deviations of the mean is at least. If it is known that the probability distribution of a random variable X is normal
with mean μ and variance o², what is the exact value of P(μ-30 <X<μ+30)?
Click here to view page 1 of the standard normal distribution table.
Click here to view page 2 of the standard normal distribution table.
P(μ-30<x<μ+3)=
(Round to four decimal places as needed.)
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Carter
Publisher:
McGraw Hill
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Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill