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Find P(-1.73 ≤z ≤0.20)=____ (Round to 4 decimal places as needed)

Find P(-1.73 ≤z ≤0.20)=____ (Round to 4 decimal places as needed)

MATLAB: An Introduction with Applications
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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d) Find P(-1.73 ≤z ≤0.20)=____ (Round to 4 decimal places as needed)
b) P(z> - 0.34) =0.6331 (Round to four decimal places as needed.) c) P(-1.74szs-0.76) = 0.1827 (Round to four decimal places as needed.) Cumulative Probabilities for the Standard Normal Distribution d) P(-1.73szs0.20) = (Round to four decimal places as needed.) Cumulatve pro bability Table entries represent the shaded area in he figure FIRST DIGIT OF z SECOND DIGIT OF z FIRST DIGIT OF Z 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.00 0.01 0.02 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 -3.0 -3.0 0.0013 0.0013 0.0013 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 -2.9 -2.9 0.0019 0.0018 0.0025 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 -2.8 -2.8 0.0026 0.0024 0.0035 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026 -2.7 -2.7 0.0034 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 -2.6 -2.6 0.0047 0.0045 0.0044 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 -2.5 -2.5 0.0062 0.0060 0.0059 -2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 -2.4 -2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 -2.3 -2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.01 10 -2.2 -2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 -2.1 -2.0 0,0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 -2.0 -1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 -1.9 -1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 -1.8 -1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 -1.7 -1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 -1.6 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 -1.5 -1.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 -1.4 -13 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 -1.3 -1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 -1.2 -1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 -1.1 -1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 -1.0 -0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611 -0.9 -0.8 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 -0.8 -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 04013 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 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 FIRST DIGIT OF z SECOND DIGIT OF Z FIRST DIGIT OFz
Transcribed Image Text:b) P(z> - 0.34) =0.6331 (Round to four decimal places as needed.) c) P(-1.74szs-0.76) = 0.1827 (Round to four decimal places as needed.) Cumulative Probabilities for the Standard Normal Distribution d) P(-1.73szs0.20) = (Round to four decimal places as needed.) Cumulatve pro bability Table entries represent the shaded area in he figure FIRST DIGIT OF z SECOND DIGIT OF z FIRST DIGIT OF Z 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.00 0.01 0.02 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 -3.0 -3.0 0.0013 0.0013 0.0013 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 -2.9 -2.9 0.0019 0.0018 0.0025 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 -2.8 -2.8 0.0026 0.0024 0.0035 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026 -2.7 -2.7 0.0034 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 -2.6 -2.6 0.0047 0.0045 0.0044 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 -2.5 -2.5 0.0062 0.0060 0.0059 -2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 -2.4 -2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 -2.3 -2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.01 10 -2.2 -2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 -2.1 -2.0 0,0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 -2.0 -1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 -1.9 -1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 -1.8 -1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 -1.7 -1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 -1.6 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 -1.5 -1.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 -1.4 -13 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 -1.3 -1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 -1.2 -1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 -1.1 -1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 -1.0 -0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611 -0.9 -0.8 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 -0.8 -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 04013 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 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 FIRST DIGIT OF z SECOND DIGIT OF Z FIRST DIGIT OFz
Cumulative Probabilities for the Standard Normal Distribution (page 2) able. Cumulative Probabilities for the Standard Normal Distribution Cumalative probability Table entries reprsent the shaded wea in the figure FIRST DIGIT OFz FIRST DIGIT OFz SECOND DIGIT OF Z 0.01 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.00 0.02 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.359 0.0 0.1 05398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 05753 0.1 0.2 05793 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 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 0.9 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 1.0 1.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 1.1 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 1.2 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.3 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.4 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.5 1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.95 15 0.9525 0.9535 0.9545 1.6 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0,9616 0.9625 0.9633 1.7 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 1.8 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 1.9 0.9803 0.9808 0.9812 0.9817 2.1 0.9821 0.9826 0.9830 0.9834 2.0 0.9838 0.9842 0.9846 0.9850 0.9854 2.2 0.9861 0.9864 0.9868 0.9871 0.9857 2.1 0.9875 0.9878 0.9881 0.9884 2.3 0.9893 0.9896 0.9898 0,9887 0.9890 2.2 0.9901 0.9904 0,9906 0.9909 0.9911 2.4 0.9918 0.9920 0.9922 0.9913 0.9916 2.3 0.9925 0,9927 0.9929 0.9931 0,9932 2.5 0.9938 0.9940 0.9941 0.9934 0.9936 2.4 0.9943 0.9945 0.9046 0.9948 2.6 0,9953 0.9955 0.9949 0.9951 0.9952 0.9956 0.9957 0.9959 0.9960 2.5 2.7 0.9965 0.9966 0.9961 0.9962 0.9963 0.9964 0.9967 0.9968 0.9969 0.9970 2.6 2.8 0,9974 0.9975 0.9971 0.9972 0.9973 0.9976 0.9977 0.9977 0.9974 2.7 2.9 0.9981 0.9978 0.9979 0.9982 0.9982 0.9983 0.9979 0.9980 0,9981 3.0 0.9984 0.9984 0.9985 2.8 0.9987 0,9987 0.9987 0.9988 0.9985 0.9986 0.9986 0.9988 0.9989 0.9989 2.9 0.00 0.01 0.02 0.9989 0.9990 0.9990 FIRST DIGIT OF z 0.03 0.04 3.0 0.05 0.06 0.07 0.08 0,09 SECOND DIGIT OF Z FIRST DIGIT OF z Print Done
Transcribed Image Text:Cumulative Probabilities for the Standard Normal Distribution (page 2) able. Cumulative Probabilities for the Standard Normal Distribution Cumalative probability Table entries reprsent the shaded wea in the figure FIRST DIGIT OFz FIRST DIGIT OFz SECOND DIGIT OF Z 0.01 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.00 0.02 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.359 0.0 0.1 05398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 05753 0.1 0.2 05793 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 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 0.9 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 1.0 1.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 1.1 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 1.2 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.3 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.4 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.5 1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.95 15 0.9525 0.9535 0.9545 1.6 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0,9616 0.9625 0.9633 1.7 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 1.8 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 1.9 0.9803 0.9808 0.9812 0.9817 2.1 0.9821 0.9826 0.9830 0.9834 2.0 0.9838 0.9842 0.9846 0.9850 0.9854 2.2 0.9861 0.9864 0.9868 0.9871 0.9857 2.1 0.9875 0.9878 0.9881 0.9884 2.3 0.9893 0.9896 0.9898 0,9887 0.9890 2.2 0.9901 0.9904 0,9906 0.9909 0.9911 2.4 0.9918 0.9920 0.9922 0.9913 0.9916 2.3 0.9925 0,9927 0.9929 0.9931 0,9932 2.5 0.9938 0.9940 0.9941 0.9934 0.9936 2.4 0.9943 0.9945 0.9046 0.9948 2.6 0,9953 0.9955 0.9949 0.9951 0.9952 0.9956 0.9957 0.9959 0.9960 2.5 2.7 0.9965 0.9966 0.9961 0.9962 0.9963 0.9964 0.9967 0.9968 0.9969 0.9970 2.6 2.8 0,9974 0.9975 0.9971 0.9972 0.9973 0.9976 0.9977 0.9977 0.9974 2.7 2.9 0.9981 0.9978 0.9979 0.9982 0.9982 0.9983 0.9979 0.9980 0,9981 3.0 0.9984 0.9984 0.9985 2.8 0.9987 0,9987 0.9987 0.9988 0.9985 0.9986 0.9986 0.9988 0.9989 0.9989 2.9 0.00 0.01 0.02 0.9989 0.9990 0.9990 FIRST DIGIT OF z 0.03 0.04 3.0 0.05 0.06 0.07 0.08 0,09 SECOND DIGIT OF Z FIRST DIGIT OF z Print Done
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