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d) Find P(0.37 ≤z ≤2.12)=____

d) Find P(0.37 ≤z ≤2.12)=____

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(0.37 ≤z ≤2.12)=____
CILK TRI a. Find P(zs1.59). Cumulative Probabilities for the Standard Normal Distribution (page 1) P(zs1.59) = 0.9441 (Round to four decimal places as needed.) b. Find P(zs -1.28) Cumulative Probabilities for the Standard Normal Distribution P(zs -1.28) = 0.1003 (Round to four decimal places as needed.) c. Find P(-0.89szs1.76). P(-0.89szs1.76) = 0.7741 (Round to four decimal places as needed.) Cumulat ve probability Table entries represent the shaded area in he figure d. Find P(0.37szs2.12). P(0.37szs2.12) = (Round to four decimal places as needed.) FIRST DIGIT OF z SECOND DIGIT OF z FIRST DIGIT OFz 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -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 0.0029 0.0028 0.0027 0.0026 -2.7 -26 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 -2.6 -2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 -2.5 -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 -1.9 0.0287 0.0281 0.0262 -2.0 0.0274 0.0268 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 -1.7 0.0446 0.0436 -1.8 0.0418 O 0516 0.0427 0.0409 0.0401 0.0392 -1.6 0.0548 0.0537 0.0384 0.0375 0.0367 -1.7 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 -1.5 0.0668 0.0465 0.0455 -1.6 0.0655 0.0643 0.0630 0.0618 -1.4 0.0606 0.0594 0.0582 0.0571 0.0559 0.0808 0.0793 0.0778 0.0764 0.0749 -1.5 -1.3 0.0735 0.0721 0.0708 0.0694 0.0968 0.0951 0.0934 0.0918 0.0901 0.0681 -1.4 -1.2 0.0885 0.0869 0.0853 0.0838 0.1151 0.1131 0.1112 0.1093 0.1075 0.0823 -1.3 -1.1 0.1357 0.1056 0.1038 0.1020 0.1003 0.1335 0.1314 0.0985 -1.2 0.1292 0.1271 0.1251 -1.0 0.1587 0.1562 0.1230 0.1210 0.1190 0.1170 0.1539 0.1515 0.1492 0.1469 -1.1 --0.9 0.1841 0.1446 0.1423 0.1401 0.1814 0.1788 0.1762 0.1736 0.1379 -1.0 0.8 0.2119 0.2090 0.1711 0.1685 0.1660 0.1635 0.2061 0.2033 0.2005 0.1611 -0.9 -0.7 0.2420 0.1977 0.1949 0.1922 0.2389 0.2358 0.2327 0.2296 0.1894 0.1867 -0.8 -0.6 0.2743 0.2266 0.2236 0.2206 0.2177 0.2709 0.2676 0.2643 0.2148 -0.7 -0.5 0.2611 02578 0.2546 0.3085 10.3050 0.3015 0.2981 0.2514 0.2483 0.2451 -0.4 0.2946 0.2912 0.2877 -0.6 0.3446 0.3409 0.3372 0.2843 0.2810 0.2776 0.3336 0.3300 0,3264 -0.5 -0.3 0.3821 0.3783 0.3745 0.3228 0.3192 0.3156 0.3707 0.3669 0.3121 -0.4 -0.2 0.4207 0.4168 0.3632 0.3594 0.3557 0.3520 0.4129 0.4090 0.4052 0.3483 -0.3 -0.1 0.4602 0.4562 0.4013 0.3974 0.3936 0.3897 0.4522 10.4483 0.4443 0.3859 -0.2 -0.0 0.0 0.5000 04404 0.4364 0.4325 0.4960 0.4920 0.4880 0.4840 0.4286 0.4247 -0.1 0.00 0.01 0.4801 0.4761 0.4721 FIRST DIGIT OF z 0.02 0.03 0.4681 0.4641 0.04 0.05 0.06 -0.0 0.07 0.08 0.09 SECOND DIGIT OF Z FIRST DIGIT OF z
Transcribed Image Text:CILK TRI a. Find P(zs1.59). Cumulative Probabilities for the Standard Normal Distribution (page 1) P(zs1.59) = 0.9441 (Round to four decimal places as needed.) b. Find P(zs -1.28) Cumulative Probabilities for the Standard Normal Distribution P(zs -1.28) = 0.1003 (Round to four decimal places as needed.) c. Find P(-0.89szs1.76). P(-0.89szs1.76) = 0.7741 (Round to four decimal places as needed.) Cumulat ve probability Table entries represent the shaded area in he figure d. Find P(0.37szs2.12). P(0.37szs2.12) = (Round to four decimal places as needed.) FIRST DIGIT OF z SECOND DIGIT OF z FIRST DIGIT OFz 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -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 0.0029 0.0028 0.0027 0.0026 -2.7 -26 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 -2.6 -2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 -2.5 -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 -1.9 0.0287 0.0281 0.0262 -2.0 0.0274 0.0268 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 -1.7 0.0446 0.0436 -1.8 0.0418 O 0516 0.0427 0.0409 0.0401 0.0392 -1.6 0.0548 0.0537 0.0384 0.0375 0.0367 -1.7 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 -1.5 0.0668 0.0465 0.0455 -1.6 0.0655 0.0643 0.0630 0.0618 -1.4 0.0606 0.0594 0.0582 0.0571 0.0559 0.0808 0.0793 0.0778 0.0764 0.0749 -1.5 -1.3 0.0735 0.0721 0.0708 0.0694 0.0968 0.0951 0.0934 0.0918 0.0901 0.0681 -1.4 -1.2 0.0885 0.0869 0.0853 0.0838 0.1151 0.1131 0.1112 0.1093 0.1075 0.0823 -1.3 -1.1 0.1357 0.1056 0.1038 0.1020 0.1003 0.1335 0.1314 0.0985 -1.2 0.1292 0.1271 0.1251 -1.0 0.1587 0.1562 0.1230 0.1210 0.1190 0.1170 0.1539 0.1515 0.1492 0.1469 -1.1 --0.9 0.1841 0.1446 0.1423 0.1401 0.1814 0.1788 0.1762 0.1736 0.1379 -1.0 0.8 0.2119 0.2090 0.1711 0.1685 0.1660 0.1635 0.2061 0.2033 0.2005 0.1611 -0.9 -0.7 0.2420 0.1977 0.1949 0.1922 0.2389 0.2358 0.2327 0.2296 0.1894 0.1867 -0.8 -0.6 0.2743 0.2266 0.2236 0.2206 0.2177 0.2709 0.2676 0.2643 0.2148 -0.7 -0.5 0.2611 02578 0.2546 0.3085 10.3050 0.3015 0.2981 0.2514 0.2483 0.2451 -0.4 0.2946 0.2912 0.2877 -0.6 0.3446 0.3409 0.3372 0.2843 0.2810 0.2776 0.3336 0.3300 0,3264 -0.5 -0.3 0.3821 0.3783 0.3745 0.3228 0.3192 0.3156 0.3707 0.3669 0.3121 -0.4 -0.2 0.4207 0.4168 0.3632 0.3594 0.3557 0.3520 0.4129 0.4090 0.4052 0.3483 -0.3 -0.1 0.4602 0.4562 0.4013 0.3974 0.3936 0.3897 0.4522 10.4483 0.4443 0.3859 -0.2 -0.0 0.0 0.5000 04404 0.4364 0.4325 0.4960 0.4920 0.4880 0.4840 0.4286 0.4247 -0.1 0.00 0.01 0.4801 0.4761 0.4721 FIRST DIGIT OF z 0.02 0.03 0.4681 0.4641 0.04 0.05 0.06 -0.0 0.07 0.08 0.09 SECOND DIGIT OF Z FIRST DIGIT OF z
Cumulative Probabilities for the Standard Normal Distribution (page 2) Cumulative Probabilities for the Standard Normal Distribution Cumulative probubility Tuble entries represent the shaded rea in the fgure FIRST DIGIT OFZ SECOND DIGIT OF z FIRST DIGIT OF Z 2. 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 05359 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 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 0.9 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 0.9515 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 1.9 2.0 0,9772 0.9778 0.9783 0.9788 0.9793 0,9798 0.9803 0.9808 0.9812 0.9817 2.0 2.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 2.1 2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 2.2 2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0,9911 0.9913 0.9916 2.3 2.4 0.9918 0,9920 0.9922 0.9925 0,9927 0.9929 0.9931 0.9932 0.9934 0.9936 2.4 2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 2.5 2.6 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 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 OF z Print Done
Transcribed Image Text:Cumulative Probabilities for the Standard Normal Distribution (page 2) Cumulative Probabilities for the Standard Normal Distribution Cumulative probubility Tuble entries represent the shaded rea in the fgure FIRST DIGIT OFZ SECOND DIGIT OF z FIRST DIGIT OF Z 2. 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 05359 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 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 0.9 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 0.9515 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 1.9 2.0 0,9772 0.9778 0.9783 0.9788 0.9793 0,9798 0.9803 0.9808 0.9812 0.9817 2.0 2.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 2.1 2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 2.2 2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0,9911 0.9913 0.9916 2.3 2.4 0.9918 0,9920 0.9922 0.9925 0,9927 0.9929 0.9931 0.9932 0.9934 0.9936 2.4 2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 2.5 2.6 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 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 OF z Print Done
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