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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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Find the probability of z occurring in the indicated region of the standard normal distribution. Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table. 1.69 P(0<z<1.69) = (Round to four decimal places as needed.)
Transcribed Image Text:Find the probability of z occurring in the indicated region of the standard normal distribution. Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table. 1.69 P(0<z<1.69) = (Round to four decimal places as needed.)
i Area under the standard normal distribution to the left of Z (page 1) Area under the standard normal distribution to the left of Z (page 2) .09 .08 .07 .06 .05 .04 .03 .02 .01 .00 .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.0 .5000 .5040 .5080 .5120 .5160 .5199 .5239 .5279 .5319 .5359 0.0 - 3.4 - 3.3 - 3.2 - 3.1 - 3.0 - 2.9 - 2.8 - 2.7 - 2.6 - 3.4 - 3.3 - 3.2 - 3.1 - 3.0 - 2.9 - 2.8 - 2.7 - 2.6 - 2.5 .0002 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0004 .0004 .0004 .0004 .0004 .0004 .0005 .0005 .0005 0.1 5398 .5438 .5478 .5517 .5557 .5596 .5636 .5675 .5714 .5753 0.1 .0005 .0005 .0005 .0006 .0006 .0006 .0006 .0006 .0007 .0007 0.2 .5793 .5832 .5871 .5910 .5948 .5987 .6026 .6064 .6103 .6141 0.2 .0007 .0007 .0008 .0008 .0008 .0008 .0009 .0009 .0009 .0010 0.3 .6179 .6217 .6255 .6293 .6331 .6368 .6406 .6443 .6480 .6517 0.3 .0010 .0010 .0011 .0011 .0011 .0012 .0012 .0013 .0013 .0013 0.4 .6554 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 .6879 0.4 .0014 .0014 .0015 .0015 .0016 0.5 .6915 .6950 .6985 .7019 .7054 .7088 .7123 .7157 .7190 .7224 0.5 .0017 .0023 .0016 .0018 .0018 .0019 .0019 .0020 .0021 .0021 .0022 .0023 .0024 .0025 .0026 0.6 .7257 .7291 .7324 .7357 7389 .7422 7454 .7486 .7517 .7549 0.6 .7764 .8051 .0026 .0027 .0028 .0029 .0030 .0031 .0032 .0033 .0034 .0035 0.7 .7580 .7611 .7642 .7673 .7704 .7734 .7794 .7823 .7852 0.7 .0036 .0037 .0038 .0039 .0040 .0041 .0043 .0044 .0045 .0047 0.8 .7881 .7910 .7939 .7967 .7995 .8023 .8078 .8106 .8133 0.8 - 2.5 - 2.4 .0048 .0049 .0051 .0052 .0054 .0055 .0057 .0059 .0060 .0062 0.9 .8159 .8186 .8212 .8238 .8264 .8289 .8315 .8340 .8365 .8389 0.9 .0073 .8438 .8508 .8599 .0075 .0099 .0064 .0066 .0068 .0069 .0071 .0078 .0080 .0082 - 2.4 1.0 .8413 .8461 .8485 .8531 .8554 .8577 .8621 1.0 .0089 1.1 .8665 .8708 .8729 .8749 .8770 .8790 .8810 .8830 - 2.3 - 2.2 - 2.1 - 2.0 - 1.9 - 1.8 - 1.7 - 1.6 - 1.5 - 1.4 .0087 - 2.3 - 2.2 .0084 .0091 .0094 .0096 .0102 .0104 .0107 .8643 .8686 1.1 .0110 .0113 .0116 .0119 .0122 .0125 .0129 .0132 .0136 .0139 1.2 .8849 .8869 .8888 .8907 .8925 .8944 .8962 .8980 .8997 .9015 1.2 - 2.1 - 2.0 - 1.9 - 1.8 - 1.7 - 1.6 - 1.5 - 1.4 - 1.3 .0143 .0146 .0150 .0154 .0158 .0162 .0166 .0170 .0174 .0179 1.3 .9032 .9049 .9066 .9082 .9099 .9115 .9131 .9147 .9162 .9177 1.3 .0183 .0188 .0192 .0197 .0202 .0207 .0212 .0217 .0222 .0228 1.4 .9192 .9207 .9222 .9236 .9251 .9265 .9279 .9292 .9306 .9319 1.4 .0233 .0239 .0244 .0250 .0256 .0262 .0268 .0274 .0281 .0287 1.5 .9332 .9345 .9357 .9370 .9382 .9394 .9406 .9418 .9429 .9441 1.5 .0294 .0301 .0307 .0314 .0322 .0329 .0336 .0344 .0351 .0359 1.6 .9452 9463 .9474 .9484 .9495 .9505 .9515 .9525 .9535 .9545 1.6 .0367 .0375 .0384 .0392 .0401 .0409 .0418 .0427 .0436 .0446 1.7 .9554 .9564 .9573 .9582 .9591 .9599 .9608 .9616 .9625 .9633 1.7 9649 .0495 .0606 .0455 .0465 .0475 .0485 .0505 .0516 .0526 .0537 .0548 1.8 9641 .9656 .9664 9671 .9678 .9686 .9693 .9699 .9706 1.8 .0559 .0571 .0582 .0594 .0618 .0630 .0643 .0655 .0668 1.9 .9713 .9719 .9726 .9732 .9738 .9744 .9750 .9756 .9761 .9767 1.9 .0681 .0694 .0708 .0721 .0735 .0749 .0764 .0778 .0793 .0808 2.0 9772 .9778 .9783 .9788 .9793 .9798 .9803 .9808 .9812 .9817 2.0 - 1.3 .0823 .0838 .0853 .0869 .0885 .0901 .0918 .0934 .0951 .0968 2.1 .9821 .9826 .9830 .9834 .9838 .9842 .9846 .9850 .9854 .9857 2.1 - 1.2 - 1.1 - 1.0 - 1.2 - 1.1 .0985 .1003 .1020 .1038 .1056 .1075 .1093 .1112 .1131 .1151 2.2 .9861 .9864 .9868 .9871 .9875 .9878 .9881 .9884 .9887 .9890 2.2 .1170 .1190 .1210 .1230 .1251 .1271 .1292 .1314 .1335 .1357 2.3 .9893 .9896 .9898 .9901 .9904 .9906 .9909 .9911 .9913 .9916 2.3 .1379 .1401 .1423 .1446 .1469 .1492 .1515 .1539 .1562 .1587 - 1.0 2.4 .9918 .9920 .9922 .9925 .9927 .9929 .9931 .9932 .9934 .9936 2.4 -0.9 .1611 .1635 .1660 .1685 .1711 .1736 .1762 .1788 .1814 .1841 -0.9 2.5 .9938 .9940 .9941 .9943 .9945 .9946 .9948 .9949 .9951 .9952 2.5 - 0.8 .1867 .1894 .1922 .1949 .1977 .2005 2033 ,2061 .2090 .2119 -0.8 2.6 .9953 .9955 .9956 .9957 .9959 .9960 .9961 .9962 .9963 .9964 2.6 -0.7 .2148 .2177 2206 ,2236 2266 .2296 .2327 .2358 .2389 .2420 -0.7 2.7 .9965 .9966 .9967 .9968 .9969 .9970 .9971 .9972 .9973 .9974 2.7 2.8 .9974 .9975 .9976 .9977 .9977 .9978 .9979 .9979 .9980 .9981 2.8 - 0.6 - 0.5 2451 .2483 2514 2546 2578 2611 2643 .2676 .2709 2743 -0.6 .2776 2810 .2843 ,2877 .2912 .2946 2981 .3015 .3050 .3085 -0.5 2.9 .9981 .9982 .9982 .9983 .9984 .9984 .9985 .9985 .9986 .9986 2.9 -0.4 3121 3156 3192 3228 .3264 3300 .3336 .3372 .3409 3446 -0.4 3.0 .9987 .9987 .9987 .9988 .9988 .9989 .9989 .9989 .9990 .9990 3.0 -0.3 3483 .3520 3557 3594 .3632 .3669 .3707 .3745 .3783 3821 -0.3 3.1 .9990 .9991 .9991 .9991 .9992 .9992 .9992 .9992 .9993 .9993 3.1 - 0.2 3859 3897 .3936 .3974 4013 4052 4090 .4129 .4168 .4207 -0.2 3.2 .9993 .9993 .9994 .9994 .9994 .9994 .9994 .9995 .9995 .9995 3.2 -0.1 .4247 4286 4325 .4364 .4404 .4443 4483 .4522 .4562 .4602 -0.1 3.3 .9995 .9995 .9995 9996 .9996 .9996 .9996 .9996 .9996 .9997 3.3 -0.0 4641 4681 4721 .4761 4801 4840 4880 .4920 .4960 .5000 - 0.0 3.4 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9998 3.4 .09 .08 .07 .06 .05 .04 .03 .02 .01 .00 .00 .01 .02 .03 .04 .05 .06 .07 .08 .09
Transcribed Image Text:i Area under the standard normal distribution to the left of Z (page 1) Area under the standard normal distribution to the left of Z (page 2) .09 .08 .07 .06 .05 .04 .03 .02 .01 .00 .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.0 .5000 .5040 .5080 .5120 .5160 .5199 .5239 .5279 .5319 .5359 0.0 - 3.4 - 3.3 - 3.2 - 3.1 - 3.0 - 2.9 - 2.8 - 2.7 - 2.6 - 3.4 - 3.3 - 3.2 - 3.1 - 3.0 - 2.9 - 2.8 - 2.7 - 2.6 - 2.5 .0002 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0004 .0004 .0004 .0004 .0004 .0004 .0005 .0005 .0005 0.1 5398 .5438 .5478 .5517 .5557 .5596 .5636 .5675 .5714 .5753 0.1 .0005 .0005 .0005 .0006 .0006 .0006 .0006 .0006 .0007 .0007 0.2 .5793 .5832 .5871 .5910 .5948 .5987 .6026 .6064 .6103 .6141 0.2 .0007 .0007 .0008 .0008 .0008 .0008 .0009 .0009 .0009 .0010 0.3 .6179 .6217 .6255 .6293 .6331 .6368 .6406 .6443 .6480 .6517 0.3 .0010 .0010 .0011 .0011 .0011 .0012 .0012 .0013 .0013 .0013 0.4 .6554 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 .6879 0.4 .0014 .0014 .0015 .0015 .0016 0.5 .6915 .6950 .6985 .7019 .7054 .7088 .7123 .7157 .7190 .7224 0.5 .0017 .0023 .0016 .0018 .0018 .0019 .0019 .0020 .0021 .0021 .0022 .0023 .0024 .0025 .0026 0.6 .7257 .7291 .7324 .7357 7389 .7422 7454 .7486 .7517 .7549 0.6 .7764 .8051 .0026 .0027 .0028 .0029 .0030 .0031 .0032 .0033 .0034 .0035 0.7 .7580 .7611 .7642 .7673 .7704 .7734 .7794 .7823 .7852 0.7 .0036 .0037 .0038 .0039 .0040 .0041 .0043 .0044 .0045 .0047 0.8 .7881 .7910 .7939 .7967 .7995 .8023 .8078 .8106 .8133 0.8 - 2.5 - 2.4 .0048 .0049 .0051 .0052 .0054 .0055 .0057 .0059 .0060 .0062 0.9 .8159 .8186 .8212 .8238 .8264 .8289 .8315 .8340 .8365 .8389 0.9 .0073 .8438 .8508 .8599 .0075 .0099 .0064 .0066 .0068 .0069 .0071 .0078 .0080 .0082 - 2.4 1.0 .8413 .8461 .8485 .8531 .8554 .8577 .8621 1.0 .0089 1.1 .8665 .8708 .8729 .8749 .8770 .8790 .8810 .8830 - 2.3 - 2.2 - 2.1 - 2.0 - 1.9 - 1.8 - 1.7 - 1.6 - 1.5 - 1.4 .0087 - 2.3 - 2.2 .0084 .0091 .0094 .0096 .0102 .0104 .0107 .8643 .8686 1.1 .0110 .0113 .0116 .0119 .0122 .0125 .0129 .0132 .0136 .0139 1.2 .8849 .8869 .8888 .8907 .8925 .8944 .8962 .8980 .8997 .9015 1.2 - 2.1 - 2.0 - 1.9 - 1.8 - 1.7 - 1.6 - 1.5 - 1.4 - 1.3 .0143 .0146 .0150 .0154 .0158 .0162 .0166 .0170 .0174 .0179 1.3 .9032 .9049 .9066 .9082 .9099 .9115 .9131 .9147 .9162 .9177 1.3 .0183 .0188 .0192 .0197 .0202 .0207 .0212 .0217 .0222 .0228 1.4 .9192 .9207 .9222 .9236 .9251 .9265 .9279 .9292 .9306 .9319 1.4 .0233 .0239 .0244 .0250 .0256 .0262 .0268 .0274 .0281 .0287 1.5 .9332 .9345 .9357 .9370 .9382 .9394 .9406 .9418 .9429 .9441 1.5 .0294 .0301 .0307 .0314 .0322 .0329 .0336 .0344 .0351 .0359 1.6 .9452 9463 .9474 .9484 .9495 .9505 .9515 .9525 .9535 .9545 1.6 .0367 .0375 .0384 .0392 .0401 .0409 .0418 .0427 .0436 .0446 1.7 .9554 .9564 .9573 .9582 .9591 .9599 .9608 .9616 .9625 .9633 1.7 9649 .0495 .0606 .0455 .0465 .0475 .0485 .0505 .0516 .0526 .0537 .0548 1.8 9641 .9656 .9664 9671 .9678 .9686 .9693 .9699 .9706 1.8 .0559 .0571 .0582 .0594 .0618 .0630 .0643 .0655 .0668 1.9 .9713 .9719 .9726 .9732 .9738 .9744 .9750 .9756 .9761 .9767 1.9 .0681 .0694 .0708 .0721 .0735 .0749 .0764 .0778 .0793 .0808 2.0 9772 .9778 .9783 .9788 .9793 .9798 .9803 .9808 .9812 .9817 2.0 - 1.3 .0823 .0838 .0853 .0869 .0885 .0901 .0918 .0934 .0951 .0968 2.1 .9821 .9826 .9830 .9834 .9838 .9842 .9846 .9850 .9854 .9857 2.1 - 1.2 - 1.1 - 1.0 - 1.2 - 1.1 .0985 .1003 .1020 .1038 .1056 .1075 .1093 .1112 .1131 .1151 2.2 .9861 .9864 .9868 .9871 .9875 .9878 .9881 .9884 .9887 .9890 2.2 .1170 .1190 .1210 .1230 .1251 .1271 .1292 .1314 .1335 .1357 2.3 .9893 .9896 .9898 .9901 .9904 .9906 .9909 .9911 .9913 .9916 2.3 .1379 .1401 .1423 .1446 .1469 .1492 .1515 .1539 .1562 .1587 - 1.0 2.4 .9918 .9920 .9922 .9925 .9927 .9929 .9931 .9932 .9934 .9936 2.4 -0.9 .1611 .1635 .1660 .1685 .1711 .1736 .1762 .1788 .1814 .1841 -0.9 2.5 .9938 .9940 .9941 .9943 .9945 .9946 .9948 .9949 .9951 .9952 2.5 - 0.8 .1867 .1894 .1922 .1949 .1977 .2005 2033 ,2061 .2090 .2119 -0.8 2.6 .9953 .9955 .9956 .9957 .9959 .9960 .9961 .9962 .9963 .9964 2.6 -0.7 .2148 .2177 2206 ,2236 2266 .2296 .2327 .2358 .2389 .2420 -0.7 2.7 .9965 .9966 .9967 .9968 .9969 .9970 .9971 .9972 .9973 .9974 2.7 2.8 .9974 .9975 .9976 .9977 .9977 .9978 .9979 .9979 .9980 .9981 2.8 - 0.6 - 0.5 2451 .2483 2514 2546 2578 2611 2643 .2676 .2709 2743 -0.6 .2776 2810 .2843 ,2877 .2912 .2946 2981 .3015 .3050 .3085 -0.5 2.9 .9981 .9982 .9982 .9983 .9984 .9984 .9985 .9985 .9986 .9986 2.9 -0.4 3121 3156 3192 3228 .3264 3300 .3336 .3372 .3409 3446 -0.4 3.0 .9987 .9987 .9987 .9988 .9988 .9989 .9989 .9989 .9990 .9990 3.0 -0.3 3483 .3520 3557 3594 .3632 .3669 .3707 .3745 .3783 3821 -0.3 3.1 .9990 .9991 .9991 .9991 .9992 .9992 .9992 .9992 .9993 .9993 3.1 - 0.2 3859 3897 .3936 .3974 4013 4052 4090 .4129 .4168 .4207 -0.2 3.2 .9993 .9993 .9994 .9994 .9994 .9994 .9994 .9995 .9995 .9995 3.2 -0.1 .4247 4286 4325 .4364 .4404 .4443 4483 .4522 .4562 .4602 -0.1 3.3 .9995 .9995 .9995 9996 .9996 .9996 .9996 .9996 .9996 .9997 3.3 -0.0 4641 4681 4721 .4761 4801 4840 4880 .4920 .4960 .5000 - 0.0 3.4 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9998 3.4 .09 .08 .07 .06 .05 .04 .03 .02 .01 .00 .00 .01 .02 .03 .04 .05 .06 .07 .08 .09
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