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rea in between z= 0.09 and z=-1.19 ind the z score where 50% of the distribution lies to the left of it.

rea in between z= 0.09 and z=-1.19 ind the z score where 50% of the distribution lies to the left of it.

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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Area in between z= 0.09 and z=-1.19 Find the z score where 50% of the distribution lies to the left of it.
Transcribed Image Text:Area in between z= 0.09 and z=-1.19 Find the z score where 50% of the distribution lies to the left of it.
APEAS of a Standard Normal Distribution (b) Tuble of Areas to the Left of z When z Is Pusitive .00 .01 .02 .03 .04 .05 .06 .07 ,08 .09 (a) Table of Areas to the Lefi of z When z Is Negative 0,0 5000 .5040 5080 .5120 5160 5199 .5239 5279 .5319 .5359 .00 .01 03 -3.4 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 02 .04 05 06 .07 08 09 0.1 5398 .5438 5478 .5517 5557 5596 .5636 5675 .5714 .5753 .0002 0.2 .5793 .5832.5871 5910 .5948 5987 .6026 ,6064 6103 .6141 -3.3 .0005 .0005 .0005 .0004 .0004 .0004 .0004 .0004 .0004 s the areu to the .0003 0.3 .6179 ,6217 ,6255 .6293 .6331 .6368 .6406 6443 .6480 .6517 -3.2 .0007 .0007 .0006 .0006 .0006 .0006 .0006 .0005 .0005 .0005 0,4 .6554 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 .6879 -3.1 ,0010 ,0009 0009 .0009 .0008 .0008 .0008 ,0008 .0007 „6915 6950 6985 .7019 .7054 .7088 .7123 .7157 7190 .7224 0.5 .0007 -3.0 .0013 ,0013. .0013 .0012 .0012 0011 .0011 .0011 .0010 .0010 0.6 .7257 7291 .7324 .7357 .7389 .7422 .7454 '.7486 .7517 .7549 -2.9 .0019 .0018 .0018 .0017 .0016 .0016 .0015 .0015.0014 .0014 0.7 .7580 7611 .7642 7673 7704. .7734 7764 .7794 .7823 .7852 -2.8 .0026 .0025 .0024 .0023 .0023 .0022 .0021 .0021 .0020 .0019 0.8 7881 .7910 .7939 .7967 7995 .8023 .8051 .8078 .8 78133 -2.7 .0035 .0034 .0033 .0032 .0031 .0030 .0029 .0028 .0027 .0026 0.9 .8159 8186 .8212 .8238 .8264 .8289 .8315 .8340 8365 ,8389 1.0 ,8413 8438 8461 .8485 8508 .853I.8554 .8577 8599 .8621 -2.6 .0047 .0045 .0044 .0043 .0041 .0040 .0039 .0038 .0037 .0036 -2,5 .0062 0060 .0059 .0057 .0055 .0054 .0052 .0051 .0049 .0048 .8643 .8665 .8686 .8708 8729 8749 .8770 8790,8810 .8830 1.2 .8849 8869 .8888 .8907 .8925 8944 .8962 .8980 .8997..9015 -2.4 .0082 .0080 :0078 .0075 .0073 .0071 .0069 .0068 .0066 .0064 1.3 9032 9049 9066 9082 9099 .9115 9131 9147 9162 .9177 -2.3 .0107 .0104 .0102 .0099 .0096 .0094 .0091 .0089 .0087 .0084 1.4 .9192 .9207 9222 9236 9251 .9265 9279 9292 .9306 9319 -2.2 ,0139 ,0136 .0132 0129, .0125 .0122 .0119 .0116 .0113 .0110 1.5 ,9332 .9345 9357 .9370 9382 .9394 9406 .9418 9429 .9441 -2.1 .0179 .0174 .0170 .0166 .0162 .0158 .0154 .0150 :0146 .0143 -2.0 .0228. .0222 0217 .0212 .0207 .0202 .0197 .0192 .0188 .0183 1.6 .9452 9463 .9474 .9484 .9495 9505 .9515 .9525 9535 9545 1.7 .9554 9564 9573 .9582 9591 .9599 .9608 '.9616 .9625 .9633 -1.9 .0287 .0281 .0274 .0268 .0262 .0256 .0250 .0244 .0239 .0233 1.8 .9641 9649 9656 .9664 .9671 .9678 9686 .9693 .9699 .9706 -1.8 .0359 .0351 .0344 .0336 .0329 .0322 .0314 .0307 .0301 .0294 9713 9719 9726 .9732 .9738 9744 .9750 .9756 9761 .9767 1.9 -1.7 .0446 :0436 .0427 .0418 .0409 .0401 .0392 .0384 .0375 .0367 2.0 ,9772 9778 9783 9788 9793 .9798 9803 .9808 .9812 .9817 -1.6 .0548 .0537 .0526 .0516 .0505 .0495 ,0485 .0475 .0465 .0455 9821 .9826 9830 .9834 .9838 9842 .9846 .98509854 :9857 2.1 -1.5 .0668 .0655 .0643 .0630 .0618 .0606 .0594 .0582 .0571 .0559 9861 9864 9868 .9871 9875 .9878 .9881 .9884 9887 .9890 2.2 -1.4 .0808 0793 .0778 .0764 .0749 .0735 .0721. .0708 .0694 .0681 -1.3 .0968 .0951 .0934 .0918 .0901 .0885 .0869- .0853 .0838 .0823 9893 9896 9898"990T 9904" 9906 9909 991T 9913*9916 .9918 9920 9922 .9925 .9927 .9929 9931 9932 .9934 .9936 2.3 2.4 -1.2. :1151 .1131 1112 1093 .1075 .1056 .1038 .1020 1003 .0985 -1.1 .1357 .1335 1314 .1292 .1271 .1251 .1230 1210 .1190 1170 !-1.0 U587 .1562 .1539 .1515 1492 .1469 .1446 .1423 401 | -0.9 .1841 .1814 :1788 .1762 .1736 .1711 1685 1660 :1635 .1611 2.5 .9938 .9940 9941 .9943 9945 .9946 9948 .9949 .9951 ,9952 2.6 .9953 .9955 9956 9957 .9959.9960 .9961 9962 .9963 9964 .1379 ,9965 .9966 9967 :9968 9969 9970 9971 9972 .9973 9974 2,7 2.8 .9974 .9975 9976 .9977 .9977 9978 9979 .9979 .9980 .9981 -0.8. 21 19 .2090 2061 2033 .2005 .1977 .1949 .1922 .1894 .1867 -0.7 2420 .2389 .2358 2327 .2296 .2266 .2236 .2206 2177 .2148 -0.6 .2743 .2709 .2676 .2643 .261 (2578.2546 .2514 .2483 2451 2.9 9981 9982 9982 .9983 .9984 .9984 .9985 ..9985 .9986 9986 3.0 .9987 .9987 9987 .9988 .9988 .9989 9989 .9989 .9990 .9990 3.1 .9990 .9991 9991 .9991 .9992 .9992 9992 .9992 .9993 .9993 -0.5 .3085 .3050 .3015 .2981 .2947 .2912 .2877 .2843 .2810 .2776 3.2 .9993 .9993 .9994 .9994 .9994 .9994 9994 .9995 .9995 9995 -0.4 .3446 .3409 .3372 .3336 3300 .3264 .3228 .3192 .3156 .3121 3.3 .9995 .9995 .9995 .9996 .9996 .9996 .9996 .9996 9996 9997 -0.3 .3821 3783 .3745 3707 .3669 .3632 .3594 .3557 .3520 3483 3:4 .9997 .9997 .9997 #997 .9997 .9997 9997 .9997 .9997 .9998 -0.2 .4207 .4168 .4129 4090 4052 4013 .3974 3936 .3897 .3859 For -scores greuter than 3.49, uso 1.0XX) to upproximate the area. -0.1 4602 4562 .4522 .4483 4443 4404 .4364 4325 4286 4247 -0.0 .5000 4960 .4920 .4880 4840 .4801 .4761 4721 .4681 4641 -.
Transcribed Image Text:APEAS of a Standard Normal Distribution (b) Tuble of Areas to the Left of z When z Is Pusitive .00 .01 .02 .03 .04 .05 .06 .07 ,08 .09 (a) Table of Areas to the Lefi of z When z Is Negative 0,0 5000 .5040 5080 .5120 5160 5199 .5239 5279 .5319 .5359 .00 .01 03 -3.4 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 02 .04 05 06 .07 08 09 0.1 5398 .5438 5478 .5517 5557 5596 .5636 5675 .5714 .5753 .0002 0.2 .5793 .5832.5871 5910 .5948 5987 .6026 ,6064 6103 .6141 -3.3 .0005 .0005 .0005 .0004 .0004 .0004 .0004 .0004 .0004 s the areu to the .0003 0.3 .6179 ,6217 ,6255 .6293 .6331 .6368 .6406 6443 .6480 .6517 -3.2 .0007 .0007 .0006 .0006 .0006 .0006 .0006 .0005 .0005 .0005 0,4 .6554 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 .6879 -3.1 ,0010 ,0009 0009 .0009 .0008 .0008 .0008 ,0008 .0007 „6915 6950 6985 .7019 .7054 .7088 .7123 .7157 7190 .7224 0.5 .0007 -3.0 .0013 ,0013. .0013 .0012 .0012 0011 .0011 .0011 .0010 .0010 0.6 .7257 7291 .7324 .7357 .7389 .7422 .7454 '.7486 .7517 .7549 -2.9 .0019 .0018 .0018 .0017 .0016 .0016 .0015 .0015.0014 .0014 0.7 .7580 7611 .7642 7673 7704. .7734 7764 .7794 .7823 .7852 -2.8 .0026 .0025 .0024 .0023 .0023 .0022 .0021 .0021 .0020 .0019 0.8 7881 .7910 .7939 .7967 7995 .8023 .8051 .8078 .8 78133 -2.7 .0035 .0034 .0033 .0032 .0031 .0030 .0029 .0028 .0027 .0026 0.9 .8159 8186 .8212 .8238 .8264 .8289 .8315 .8340 8365 ,8389 1.0 ,8413 8438 8461 .8485 8508 .853I.8554 .8577 8599 .8621 -2.6 .0047 .0045 .0044 .0043 .0041 .0040 .0039 .0038 .0037 .0036 -2,5 .0062 0060 .0059 .0057 .0055 .0054 .0052 .0051 .0049 .0048 .8643 .8665 .8686 .8708 8729 8749 .8770 8790,8810 .8830 1.2 .8849 8869 .8888 .8907 .8925 8944 .8962 .8980 .8997..9015 -2.4 .0082 .0080 :0078 .0075 .0073 .0071 .0069 .0068 .0066 .0064 1.3 9032 9049 9066 9082 9099 .9115 9131 9147 9162 .9177 -2.3 .0107 .0104 .0102 .0099 .0096 .0094 .0091 .0089 .0087 .0084 1.4 .9192 .9207 9222 9236 9251 .9265 9279 9292 .9306 9319 -2.2 ,0139 ,0136 .0132 0129, .0125 .0122 .0119 .0116 .0113 .0110 1.5 ,9332 .9345 9357 .9370 9382 .9394 9406 .9418 9429 .9441 -2.1 .0179 .0174 .0170 .0166 .0162 .0158 .0154 .0150 :0146 .0143 -2.0 .0228. .0222 0217 .0212 .0207 .0202 .0197 .0192 .0188 .0183 1.6 .9452 9463 .9474 .9484 .9495 9505 .9515 .9525 9535 9545 1.7 .9554 9564 9573 .9582 9591 .9599 .9608 '.9616 .9625 .9633 -1.9 .0287 .0281 .0274 .0268 .0262 .0256 .0250 .0244 .0239 .0233 1.8 .9641 9649 9656 .9664 .9671 .9678 9686 .9693 .9699 .9706 -1.8 .0359 .0351 .0344 .0336 .0329 .0322 .0314 .0307 .0301 .0294 9713 9719 9726 .9732 .9738 9744 .9750 .9756 9761 .9767 1.9 -1.7 .0446 :0436 .0427 .0418 .0409 .0401 .0392 .0384 .0375 .0367 2.0 ,9772 9778 9783 9788 9793 .9798 9803 .9808 .9812 .9817 -1.6 .0548 .0537 .0526 .0516 .0505 .0495 ,0485 .0475 .0465 .0455 9821 .9826 9830 .9834 .9838 9842 .9846 .98509854 :9857 2.1 -1.5 .0668 .0655 .0643 .0630 .0618 .0606 .0594 .0582 .0571 .0559 9861 9864 9868 .9871 9875 .9878 .9881 .9884 9887 .9890 2.2 -1.4 .0808 0793 .0778 .0764 .0749 .0735 .0721. .0708 .0694 .0681 -1.3 .0968 .0951 .0934 .0918 .0901 .0885 .0869- .0853 .0838 .0823 9893 9896 9898"990T 9904" 9906 9909 991T 9913*9916 .9918 9920 9922 .9925 .9927 .9929 9931 9932 .9934 .9936 2.3 2.4 -1.2. :1151 .1131 1112 1093 .1075 .1056 .1038 .1020 1003 .0985 -1.1 .1357 .1335 1314 .1292 .1271 .1251 .1230 1210 .1190 1170 !-1.0 U587 .1562 .1539 .1515 1492 .1469 .1446 .1423 401 | -0.9 .1841 .1814 :1788 .1762 .1736 .1711 1685 1660 :1635 .1611 2.5 .9938 .9940 9941 .9943 9945 .9946 9948 .9949 .9951 ,9952 2.6 .9953 .9955 9956 9957 .9959.9960 .9961 9962 .9963 9964 .1379 ,9965 .9966 9967 :9968 9969 9970 9971 9972 .9973 9974 2,7 2.8 .9974 .9975 9976 .9977 .9977 9978 9979 .9979 .9980 .9981 -0.8. 21 19 .2090 2061 2033 .2005 .1977 .1949 .1922 .1894 .1867 -0.7 2420 .2389 .2358 2327 .2296 .2266 .2236 .2206 2177 .2148 -0.6 .2743 .2709 .2676 .2643 .261 (2578.2546 .2514 .2483 2451 2.9 9981 9982 9982 .9983 .9984 .9984 .9985 ..9985 .9986 9986 3.0 .9987 .9987 9987 .9988 .9988 .9989 9989 .9989 .9990 .9990 3.1 .9990 .9991 9991 .9991 .9992 .9992 9992 .9992 .9993 .9993 -0.5 .3085 .3050 .3015 .2981 .2947 .2912 .2877 .2843 .2810 .2776 3.2 .9993 .9993 .9994 .9994 .9994 .9994 9994 .9995 .9995 9995 -0.4 .3446 .3409 .3372 .3336 3300 .3264 .3228 .3192 .3156 .3121 3.3 .9995 .9995 .9995 .9996 .9996 .9996 .9996 .9996 9996 9997 -0.3 .3821 3783 .3745 3707 .3669 .3632 .3594 .3557 .3520 3483 3:4 .9997 .9997 .9997 #997 .9997 .9997 9997 .9997 .9997 .9998 -0.2 .4207 .4168 .4129 4090 4052 4013 .3974 3936 .3897 .3859 For -scores greuter than 3.49, uso 1.0XX) to upproximate the area. -0.1 4602 4562 .4522 .4483 4443 4404 .4364 4325 4286 4247 -0.0 .5000 4960 .4920 .4880 4840 .4801 .4761 4721 .4681 4641 -.
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