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2. Given that Z is the standard normal distribution, give the requested values using the z- table or your calculator: a) P(Z< zo) = .8051 Find zo. b) P(Z > zo) = .025 Find zo. c) Find P(.7 sz< 1.3).

2. Given that Z is the standard normal distribution, give the requested values using the z- table or your calculator: a) P(Z< zo) = .8051 Find zo. b) P(Z > zo) = .025 Find zo. c) Find P(.7 sz< 1.3).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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Table of Standard Normal Probabilities for Negative Z-scores Table of Standard Normal Probabilities for Positive Z-scores 0.09 0.0002 0.0003 0,03 0.5120 0.08 0.5319 0.5714 0.00 0,01 0.02 0,03 0.04 0.05 0.06 0,07 0.08 z 0.00 0.01 0.02 0.04 0,05 0.06 0.07 0.09 0.5000 0.5398 0.5793 -3.4 0.0003 0.0003 0.0003 0,0003 0.0003 0.0003 0.0003 0.0003 0,0003 0.0 0.5040 0.5080 0.5160 0.5199 0.5239 0.5279 0.5359 0.0004 0,0006 -3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0,0004 0.1 0.5438 0,5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5753 -3.2 0,0007 0.0007 0.0006 0,0006 0.0006 0.0006 0.0005 0.0005 0.0005 0.2 0.5832 0.5871 0,5910 0.5948 0.5987 0,6026 0,6064 0.6103 0,6141 0.0009 0,0012 0.0007 0.0010 0.6217 0.6255 0.6293 0.6664 0.7019 -3.1 0.0010 0.0009 0,0009 0,0008 0.0008 0.0008 0.0008 0.6331 0.6517 0,0007 0.0010 0.3 0.6179 0.6368 0.6406 0.6443 0.6808 0.6480 -3.0 0.0013 0.0013 0.0013 0.0012 0.0011 0.0011 0.0011 0.4 0.6554 0.6591 0.6628 0.6700 0.6736 0.6772 0.6844 0.6879 0.0018 0.0024 0.7123 0.7454 0.7224 0.7549 0.7852 0.8133 -2.9 0,0019 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0,0014 0.0014 0.5 0,6915 0.6950 0.6985 0.7054 0.7088 0,7157 0.7190 0,0023 0.0032 0.7389 0.7704 0.7995 -2.8 0.0026 0.0025 0,0023 0.0031 0.0041 0.0022 0.0021 0.0021 0.0020 0.0019 0.6 0.7257 0.7291 0,7324 0.7357 0.7673 0.7967 0.7422 0.7486 0.7517 0.0034 0.0045 0.0060 0.0080 0,0026 0.7580 0.7881 0.7794 0.8078 0.8340 -2.7 0.7823 0,0035 0.0047 0.0033 0.0030 0.0040 0.0029 0.0028 0,0038 0.0051 0.0068 0.0089 0.0027 0.0037 0.7611 0.7910 0,7642 0,7939 0.7734 0,8023 0.7764 -2.6 0.0044 0.0043 0.0039 0.0036 0.8 0,8051 0.8106 0.0059 0.0078 0.0102 0.0132 0.0054 0.0071 0,0094 0.0122 0.8212 0.8461 0.8264 0.8508 0.8729 0.8289 0.8531 0.8749 0.8315 0.8554 0.8770 -2.5 0.0062 0.0057 0.0055 0.0052 0.0049 0.0048 0.9 0.8159 0.8186 0,8238 0.8365 0.8389 0.0066 0.0087 0.8438 0.8665 -2.4 0.0082 0.0075 0.0073 0.0069 0.0064 1.0 0.8413 0.8485 0.8577 0.8599 0.8621 0.8643 0.8849 0.9032 0.0099 0.8830 0.9015 0.9177 -2.3 0.0107 0.0104 0.0096 0.0091 0.0084 1.1 0.8686 0,8708 0.8790 0.8810 0.0139 0.0179 0.8997 0.9162 0.9306 0.0125 0.0119 0.0154 0,0116 0.0110 0.8869 0.9049 0.8925 0.,9099 0.9251 0.9382 -2.2 -2.1 0.0136 0.0174 0.0222 0.0129 0.0113 1.2 0.8888 0.8907 0.8944 0.8962 0.8980 0.0170 0.0166 0.0162 0.0158 0.0150 0.0146 0.0143 1.3 0.9066 0.9082 0.9115 0.9131 0.9147 0.9207 0.9345 0.9222 0.9357 -2.0 0.0228 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0,0188 0.0183 1.4 0.9192 0.9236 0.9265 0.9279 0.9292 0.9319 -1.9 0.0287 0.0281 0.0274 0.0268 0,0262 0.0256 0.0250 0.0244 0.0239 0.0233 1.5 0.9332 0.9370 0.9394 0,9406 0.9418 0,9429 0.9441 -1.8 0.0359 0.0351 0.0344 0,0336 0.0329 0.0322 0.0314 0.0307 0.0294 0.0301 0.0375 1.6 0.9452 0.9554 0.9463 0.9474 0.9573 0.9484 0.9495 0.9591 0.9505 0.9515 0.9525 0.9535 0.9545 0.0392 0.0485 0.0401 0.0495 0.0606 0.0735 0.0885 -1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0384 0.0367 1.7 0.9564 0.9582 0.9599 0.9608 0.9616 0.9625 0.9633 0.0455 0.0559 0.0681 0.0823 0.9649 0.9719 -1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0475 0.0465 1.8 0.9641 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 0.0643 0.0778 0.0934 0.9713 0.9772 0.9821 0.9732 0.9788 0.9834 0.9738 0.9793 0.9838 0.9875 0.9750 0.9803 0.9846 0.9761 0.9812 0.9854 -1.5 0.0668 0.0655 0.0630 0.0618 0.0594 0.0582 0.0571 1.9 0.9726 0.9744 0.9756 0.9767 0.0808 0.0968 0.0764 0.0918 0.1093 0.0749 0.0901 0.0694 0.0838 0.9783 0.9830 0.0721 0.0708 0.0853 0.9778 0.9826 0.9798 0.9842 0.9808 0.9850 0.9817 0.9857 0.9890 -1.4 0.0793 0.0951 2.0 -1.3 0.0869 2.1 0.1112 0.1314 0.1075 0.1271 0.1056 0.1251 0.1469 0.1711 0.1020 0.1210 0.9864 0.9896 -1.2 0.1151 0.1131 0.1038 0.1003 0.0985 2.2 0.9861 0.9868 0.9871 0.9878 0.9881 0.9884 0.9887 0.1335 0.1562 0.9906 0.9929 0.1357 0.1230 0.1446 -1.1 0.1292 0.1190 0.1170 2.3 0.9893 0.9898 0.9901 0.9904 0.9909 0.9911 0.9913 0.9916 0.9931 0.9948 0.9961 -1.0 0.1587 0.1539 0,1515 0.1492 0.1423 0.1401 0.1379 2.4 0.9918 0.9920 0.9922 0.9925 0.9927 0.9932 0,9934 0,9936 0.9949 0.9962 0.9951 0.9963 0.9952 0.9964 0.9943 0,9945 0.9959 0.9969 0,9977 0.1660 0.1611 0.1867 0.2148 -0.9 0,1841 0.1814 0.1788 2.5 0.1762 0.2033 0.1736 0.1685 0.1635 0.9938 0.9953 0.9940 0.9941 0.9956 0.9946 0.2061 0.2358 0.2676 0.1977 0.2266 0.2578 2.6 2.7 -0.8 0.2119 0.2090 0.2005 0.1949 0.1922 0.1894 0.9955 0.9957 0.9960 0,2389 0.2709 0.3050 0.3409 0.2177 0.2483 0.9968 0.9977 0.9983 0.9988 0.9991 0.9994 0.9996 0.9997 -0.7 0.2420 0.2327 0,2296 0.2236 0.2206 0.9965 0.9966 0,9967 0.9970 0.9971 0.9972 0.9973 0.9974 0.9979 0.9985 0.2514 0,2843 0.3192 0.9975 0.9982 0.9987 0.9991 0.9981 0.2546 0.2877 0,9974 0.9981 -0.6 0.2743 0.2643 0.2611 0.2451 2.8 0.9976 0.9978 0.9979 0.9980 0.9986 0.9990 -0.5 0.3085 0.3015 0.2981 0.3336 0.2946 0.2912 0.2810 0.2776 2.9 0.9982 0,9984 0.9984 0.9985 0.9986 0.3446 0.3300 0,3121 0.3483 -0.4 0.3372 0.3264 0.3228 0.3156 3.0 0.9987 0.9987 0.9988 0.9989 0.9989 0.9989 0.9990 0.3707 0.4090 0.3557 0,3936 0.9990 0.9993 0.9995 -0.3 0.3821 0.3783 0.3745 0.3669 0.3632 0.3594 0.3520 3.1 0,9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993 0.9993 0.9995 0.9997 -0.2 0.4207 0.4168 0.4129 0.4052 0.4013 0.3974 0.3897 0.3859 3.2 0.9994 0,9994 0.9994 0.9994 0.9995 0.9995 0.9995 0,4404 0.4801 0.4286 0.4681 0.9997 0.9998 0.4602 0.4522 0.4920 0.4364 0.4761 0.4325 0.4721 0.4247 0.4641 -0.1 0.4562 0.4483 0.4443 3.3 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 -0.0 0.5000 0.4960 0.4880 0.4840 3.4 0.9997 0,9997 0.9997 0.9997 0.9997 0.9997 0,9997 Note that the probabilities given in this table represent the area to the LEFT of the z-score. The area to the RIGHT of a z-score = 1- the area to the LEFT of the z-score
Transcribed Image Text:Table of Standard Normal Probabilities for Negative Z-scores Table of Standard Normal Probabilities for Positive Z-scores 0.09 0.0002 0.0003 0,03 0.5120 0.08 0.5319 0.5714 0.00 0,01 0.02 0,03 0.04 0.05 0.06 0,07 0.08 z 0.00 0.01 0.02 0.04 0,05 0.06 0.07 0.09 0.5000 0.5398 0.5793 -3.4 0.0003 0.0003 0.0003 0,0003 0.0003 0.0003 0.0003 0.0003 0,0003 0.0 0.5040 0.5080 0.5160 0.5199 0.5239 0.5279 0.5359 0.0004 0,0006 -3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0,0004 0.1 0.5438 0,5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5753 -3.2 0,0007 0.0007 0.0006 0,0006 0.0006 0.0006 0.0005 0.0005 0.0005 0.2 0.5832 0.5871 0,5910 0.5948 0.5987 0,6026 0,6064 0.6103 0,6141 0.0009 0,0012 0.0007 0.0010 0.6217 0.6255 0.6293 0.6664 0.7019 -3.1 0.0010 0.0009 0,0009 0,0008 0.0008 0.0008 0.0008 0.6331 0.6517 0,0007 0.0010 0.3 0.6179 0.6368 0.6406 0.6443 0.6808 0.6480 -3.0 0.0013 0.0013 0.0013 0.0012 0.0011 0.0011 0.0011 0.4 0.6554 0.6591 0.6628 0.6700 0.6736 0.6772 0.6844 0.6879 0.0018 0.0024 0.7123 0.7454 0.7224 0.7549 0.7852 0.8133 -2.9 0,0019 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0,0014 0.0014 0.5 0,6915 0.6950 0.6985 0.7054 0.7088 0,7157 0.7190 0,0023 0.0032 0.7389 0.7704 0.7995 -2.8 0.0026 0.0025 0,0023 0.0031 0.0041 0.0022 0.0021 0.0021 0.0020 0.0019 0.6 0.7257 0.7291 0,7324 0.7357 0.7673 0.7967 0.7422 0.7486 0.7517 0.0034 0.0045 0.0060 0.0080 0,0026 0.7580 0.7881 0.7794 0.8078 0.8340 -2.7 0.7823 0,0035 0.0047 0.0033 0.0030 0.0040 0.0029 0.0028 0,0038 0.0051 0.0068 0.0089 0.0027 0.0037 0.7611 0.7910 0,7642 0,7939 0.7734 0,8023 0.7764 -2.6 0.0044 0.0043 0.0039 0.0036 0.8 0,8051 0.8106 0.0059 0.0078 0.0102 0.0132 0.0054 0.0071 0,0094 0.0122 0.8212 0.8461 0.8264 0.8508 0.8729 0.8289 0.8531 0.8749 0.8315 0.8554 0.8770 -2.5 0.0062 0.0057 0.0055 0.0052 0.0049 0.0048 0.9 0.8159 0.8186 0,8238 0.8365 0.8389 0.0066 0.0087 0.8438 0.8665 -2.4 0.0082 0.0075 0.0073 0.0069 0.0064 1.0 0.8413 0.8485 0.8577 0.8599 0.8621 0.8643 0.8849 0.9032 0.0099 0.8830 0.9015 0.9177 -2.3 0.0107 0.0104 0.0096 0.0091 0.0084 1.1 0.8686 0,8708 0.8790 0.8810 0.0139 0.0179 0.8997 0.9162 0.9306 0.0125 0.0119 0.0154 0,0116 0.0110 0.8869 0.9049 0.8925 0.,9099 0.9251 0.9382 -2.2 -2.1 0.0136 0.0174 0.0222 0.0129 0.0113 1.2 0.8888 0.8907 0.8944 0.8962 0.8980 0.0170 0.0166 0.0162 0.0158 0.0150 0.0146 0.0143 1.3 0.9066 0.9082 0.9115 0.9131 0.9147 0.9207 0.9345 0.9222 0.9357 -2.0 0.0228 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0,0188 0.0183 1.4 0.9192 0.9236 0.9265 0.9279 0.9292 0.9319 -1.9 0.0287 0.0281 0.0274 0.0268 0,0262 0.0256 0.0250 0.0244 0.0239 0.0233 1.5 0.9332 0.9370 0.9394 0,9406 0.9418 0,9429 0.9441 -1.8 0.0359 0.0351 0.0344 0,0336 0.0329 0.0322 0.0314 0.0307 0.0294 0.0301 0.0375 1.6 0.9452 0.9554 0.9463 0.9474 0.9573 0.9484 0.9495 0.9591 0.9505 0.9515 0.9525 0.9535 0.9545 0.0392 0.0485 0.0401 0.0495 0.0606 0.0735 0.0885 -1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0384 0.0367 1.7 0.9564 0.9582 0.9599 0.9608 0.9616 0.9625 0.9633 0.0455 0.0559 0.0681 0.0823 0.9649 0.9719 -1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0475 0.0465 1.8 0.9641 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 0.0643 0.0778 0.0934 0.9713 0.9772 0.9821 0.9732 0.9788 0.9834 0.9738 0.9793 0.9838 0.9875 0.9750 0.9803 0.9846 0.9761 0.9812 0.9854 -1.5 0.0668 0.0655 0.0630 0.0618 0.0594 0.0582 0.0571 1.9 0.9726 0.9744 0.9756 0.9767 0.0808 0.0968 0.0764 0.0918 0.1093 0.0749 0.0901 0.0694 0.0838 0.9783 0.9830 0.0721 0.0708 0.0853 0.9778 0.9826 0.9798 0.9842 0.9808 0.9850 0.9817 0.9857 0.9890 -1.4 0.0793 0.0951 2.0 -1.3 0.0869 2.1 0.1112 0.1314 0.1075 0.1271 0.1056 0.1251 0.1469 0.1711 0.1020 0.1210 0.9864 0.9896 -1.2 0.1151 0.1131 0.1038 0.1003 0.0985 2.2 0.9861 0.9868 0.9871 0.9878 0.9881 0.9884 0.9887 0.1335 0.1562 0.9906 0.9929 0.1357 0.1230 0.1446 -1.1 0.1292 0.1190 0.1170 2.3 0.9893 0.9898 0.9901 0.9904 0.9909 0.9911 0.9913 0.9916 0.9931 0.9948 0.9961 -1.0 0.1587 0.1539 0,1515 0.1492 0.1423 0.1401 0.1379 2.4 0.9918 0.9920 0.9922 0.9925 0.9927 0.9932 0,9934 0,9936 0.9949 0.9962 0.9951 0.9963 0.9952 0.9964 0.9943 0,9945 0.9959 0.9969 0,9977 0.1660 0.1611 0.1867 0.2148 -0.9 0,1841 0.1814 0.1788 2.5 0.1762 0.2033 0.1736 0.1685 0.1635 0.9938 0.9953 0.9940 0.9941 0.9956 0.9946 0.2061 0.2358 0.2676 0.1977 0.2266 0.2578 2.6 2.7 -0.8 0.2119 0.2090 0.2005 0.1949 0.1922 0.1894 0.9955 0.9957 0.9960 0,2389 0.2709 0.3050 0.3409 0.2177 0.2483 0.9968 0.9977 0.9983 0.9988 0.9991 0.9994 0.9996 0.9997 -0.7 0.2420 0.2327 0,2296 0.2236 0.2206 0.9965 0.9966 0,9967 0.9970 0.9971 0.9972 0.9973 0.9974 0.9979 0.9985 0.2514 0,2843 0.3192 0.9975 0.9982 0.9987 0.9991 0.9981 0.2546 0.2877 0,9974 0.9981 -0.6 0.2743 0.2643 0.2611 0.2451 2.8 0.9976 0.9978 0.9979 0.9980 0.9986 0.9990 -0.5 0.3085 0.3015 0.2981 0.3336 0.2946 0.2912 0.2810 0.2776 2.9 0.9982 0,9984 0.9984 0.9985 0.9986 0.3446 0.3300 0,3121 0.3483 -0.4 0.3372 0.3264 0.3228 0.3156 3.0 0.9987 0.9987 0.9988 0.9989 0.9989 0.9989 0.9990 0.3707 0.4090 0.3557 0,3936 0.9990 0.9993 0.9995 -0.3 0.3821 0.3783 0.3745 0.3669 0.3632 0.3594 0.3520 3.1 0,9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993 0.9993 0.9995 0.9997 -0.2 0.4207 0.4168 0.4129 0.4052 0.4013 0.3974 0.3897 0.3859 3.2 0.9994 0,9994 0.9994 0.9994 0.9995 0.9995 0.9995 0,4404 0.4801 0.4286 0.4681 0.9997 0.9998 0.4602 0.4522 0.4920 0.4364 0.4761 0.4325 0.4721 0.4247 0.4641 -0.1 0.4562 0.4483 0.4443 3.3 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 -0.0 0.5000 0.4960 0.4880 0.4840 3.4 0.9997 0,9997 0.9997 0.9997 0.9997 0.9997 0,9997 Note that the probabilities given in this table represent the area to the LEFT of the z-score. The area to the RIGHT of a z-score = 1- the area to the LEFT of the z-score
2. Given that Z is the standard normal distribution, give the requested values using the z- table or your calculator: a) P(Z< zo) = .8051 Find zo. b) P(Z > zo) = .025 Find zo. c) Find P(.7 <z< 1.3).
Transcribed Image Text:2. Given that Z is the standard normal distribution, give the requested values using the z- table or your calculator: a) P(Z< zo) = .8051 Find zo. b) P(Z > zo) = .025 Find zo. c) Find P(.7 <z< 1.3).
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