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ssume the random variable X is normally distributed with mean p=50 and standard deviation o =7. Compute the probability. Be sure to draw a normal curve with the area correspondit P(35

ssume the random variable X is normally distributed with mean p=50 and standard deviation o =7. Compute the probability. Be sure to draw a normal curve with the area correspondit P(35

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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ssume the random variable X is normally distributed with mean p=50 and standard deviation o =7. Compute the probability. Be sure to draw a normal curve with the area correspondit P(35<X<61) Vhich of the following normal curves corresponds to P(35<X<61)? A. OB. B. 35 50 61 35 50 61 61 P(35<X<61) = (Round to four decimal places as needed.) 50 35
Transcribed Image Text:ssume the random variable X is normally distributed with mean p=50 and standard deviation o =7. Compute the probability. Be sure to draw a normal curve with the area correspondit P(35<X<61) Vhich of the following normal curves corresponds to P(35<X<61)? A. OB. B. 35 50 61 35 50 61 61 P(35<X<61) = (Round to four decimal places as needed.) 50 35
Standard Normal Area Standard Normal Area Probabilities Probabilities (Cumulative z curve areas) (Cumulative z curve areas) 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 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 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 0.5080 0.5120 0.5160 0.5557 0.5948 0.5199 0.5239 0.5279 0.5319 0.5359 0.0003 0.1 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 0.5398 0.5438 0.5478 0.5636 0.6026 b.6406 0.5517 0.5596 0.5675 0.5714 0.5753 -3.3 0.0005 0.0005 0.0005 0.2 0.5793 0.5832 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 0.5871 0.5910 0.5987 0.6064 0.6103 0.6141 -3.2 0.0007 0.0007 0.0006 0.3 0.6179 0.6293 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 0.6217 0.6255 0.6331 0.6368 0.6443 0.6480 0.6517 -3.1 0.0010 0.0009 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6772 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 0.6736 0.6808 0.6844 0.6879 -3.0 0.0013 0.0013 0.6915 0.6950 0.7291 0.5 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 0.7224 0.6 0.7257 0.7324 0.7357 0.7389 0.7422 -2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 0.7454 0.7486 0.7517 0.7549 0.7 0.7580 0.7611 0.0030 0.0029 0.0028 0.0027 0.0026 0.7704 0.7995 0.7642 0.7673 0.7734 0.7764 0.7794 0.7823 0.7852 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.8 0.7881 0.7910 0.7939 0.7967 0.8023 0.8051 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 0.8078 -2.6 0.0047 0.8106 0.8365 0.8133 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 0.8340 0.8389 -2.5 0.0062 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 -2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 1.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 -2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 -2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 0.9015 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 -2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 0.9177 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 -2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.0244 0.0239 0.0233 0.9406 0.9418 0.9525 0.9394 0.9429 0.9441 -1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.9463 0.9474 0.9484 0.9495 0.9505 0.0351 0.0436 1.6 0.9452 0.9515 0.9535 0.9545 -1.8 0.0359 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 1.7 0.9554 0.9564 0.9573 0.9582 0.0427 0.0526 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 -1.7 0.0446 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 -1.6 0.0548 0.0537 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 0.9726 0.0606 0.0594 1.9 0.9713 0.9719 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0582 0.0571 0.0559 2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9817 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 0.9812 -1.4 2.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 -1.3 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 -1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9929 0.9909 0.9911 0.9913 0.9916 -1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 2.4 0.9918 0.9920 0.9922 0.9925 0.9927 0.9931 0.9932 0.9934 0.9936 -1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.1685 0.9949 0.9962 0.9951 0.9952 -0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1660 0.1635 0.1611 2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.1922 0.1867 0.9963 0.9964 -0.8 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1894 2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 -0.7 2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.2676 0.3015 0.9979 0.9980 0.9981 -0.6 0.2743 0.2709 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451 2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 0.3085 0.3050 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776 -0.5 3.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.3409 0.3300 0.3228 0.3156 0.9990 0.9990 -0.4 0.3446 0.3372 0.3336 0.3264 0.3192 0.3121 3.1 0.9990 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.3783 0.3632 0.3594 0.3557 0.3520 0.3483 0.9993 -0.3 0.3821 0.3745 0.3707 0.3669 3.2 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 -0.2 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859 0.4207 0.4168 3.3 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.4325 0.4286 0.9996 0.9996 0.9997 -0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4247 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.4801 0.4761 0.4641 0.9997 0.9998 -0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4721 0.4681
Transcribed Image Text:Standard Normal Area Standard Normal Area Probabilities Probabilities (Cumulative z curve areas) (Cumulative z curve areas) 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 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 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 0.5080 0.5120 0.5160 0.5557 0.5948 0.5199 0.5239 0.5279 0.5319 0.5359 0.0003 0.1 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 0.5398 0.5438 0.5478 0.5636 0.6026 b.6406 0.5517 0.5596 0.5675 0.5714 0.5753 -3.3 0.0005 0.0005 0.0005 0.2 0.5793 0.5832 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 0.5871 0.5910 0.5987 0.6064 0.6103 0.6141 -3.2 0.0007 0.0007 0.0006 0.3 0.6179 0.6293 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 0.6217 0.6255 0.6331 0.6368 0.6443 0.6480 0.6517 -3.1 0.0010 0.0009 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6772 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 0.6736 0.6808 0.6844 0.6879 -3.0 0.0013 0.0013 0.6915 0.6950 0.7291 0.5 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 0.7224 0.6 0.7257 0.7324 0.7357 0.7389 0.7422 -2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 0.7454 0.7486 0.7517 0.7549 0.7 0.7580 0.7611 0.0030 0.0029 0.0028 0.0027 0.0026 0.7704 0.7995 0.7642 0.7673 0.7734 0.7764 0.7794 0.7823 0.7852 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.8 0.7881 0.7910 0.7939 0.7967 0.8023 0.8051 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 0.8078 -2.6 0.0047 0.8106 0.8365 0.8133 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 0.8340 0.8389 -2.5 0.0062 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 -2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 1.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 -2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 -2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 0.9015 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 -2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 0.9177 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 -2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.0244 0.0239 0.0233 0.9406 0.9418 0.9525 0.9394 0.9429 0.9441 -1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.9463 0.9474 0.9484 0.9495 0.9505 0.0351 0.0436 1.6 0.9452 0.9515 0.9535 0.9545 -1.8 0.0359 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 1.7 0.9554 0.9564 0.9573 0.9582 0.0427 0.0526 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 -1.7 0.0446 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 -1.6 0.0548 0.0537 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 0.9726 0.0606 0.0594 1.9 0.9713 0.9719 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0582 0.0571 0.0559 2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9817 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 0.9812 -1.4 2.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 -1.3 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 -1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9929 0.9909 0.9911 0.9913 0.9916 -1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 2.4 0.9918 0.9920 0.9922 0.9925 0.9927 0.9931 0.9932 0.9934 0.9936 -1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.1685 0.9949 0.9962 0.9951 0.9952 -0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1660 0.1635 0.1611 2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.1922 0.1867 0.9963 0.9964 -0.8 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1894 2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 -0.7 2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.2676 0.3015 0.9979 0.9980 0.9981 -0.6 0.2743 0.2709 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451 2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 0.3085 0.3050 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776 -0.5 3.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.3409 0.3300 0.3228 0.3156 0.9990 0.9990 -0.4 0.3446 0.3372 0.3336 0.3264 0.3192 0.3121 3.1 0.9990 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.3783 0.3632 0.3594 0.3557 0.3520 0.3483 0.9993 -0.3 0.3821 0.3745 0.3707 0.3669 3.2 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 -0.2 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859 0.4207 0.4168 3.3 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.4325 0.4286 0.9996 0.9996 0.9997 -0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4247 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.4801 0.4761 0.4641 0.9997 0.9998 -0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4721 0.4681
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