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Assume the random variable X is normally distributed with mean μ = 50 and standard deviation o=7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(X>34) Click the icon to view a table of areas under the normal curve. Which of the following normal curves corresponds to P(X>34)? O A. 50 Q Q P(X>34)= (Round to four decimal places as needed.) OB. 34 50 O C. 34 50

Assume the random variable X is normally distributed with mean μ = 50 and standard deviation o=7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(X>34) Click the icon to view a table of areas under the normal curve. Which of the following normal curves corresponds to P(X>34)? O A. 50 Q Q P(X>34)= (Round to four decimal places as needed.) OB. 34 50 O C. 34 50

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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Assume the random variable X is normally distributed with mean μ = 50 and standard deviation o=7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(X> 34) Click the icon to view a table of areas under the normal curve. Which of the following normal curves corresponds to P(x > 34)? O A. 34 50 P(X>34) = (Round to four decimal places as needed.) B. ^ 34 50 34 50
Transcribed Image Text:Assume the random variable X is normally distributed with mean μ = 50 and standard deviation o=7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(X> 34) Click the icon to view a table of areas under the normal curve. Which of the following normal curves corresponds to P(x > 34)? O A. 34 50 P(X>34) = (Round to four decimal places as needed.) B. ^ 34 50 34 50
10/9/23, 4:26 PM TABLE V .00 07 .08 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 -3.2 0.0007 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 -3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 -3.0 0.0013 0,0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 -2.8 0.0026 0.0024 0.0025 0.0023 0.0023 0.0022 0.0021 0:00 0.0021 0.0020 0.0019 wowy -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026 -2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 -0.0 0.0 0.1 0.2 0.3 0.4 -2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 0.0107 0.0104 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 -2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 -2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 -2.0 0.0228 0,0222 0.0217 0,0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 -1.9 0.0281 0,0274 0,0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 -1.8 0.0359 0.035) 0.0344 0.0536 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 -1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 -1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0559 -14 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 -1.3 0,0968 0.0951 0,0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 -1.2 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1005 0.0985 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 01170 -1.0 0.1587 0.1562 0.1539 0.1515 0,1492 0.1465 0.1446 0.1423 0.1401 0.1379 -0.9 0.1841 0.1814 0.1788 0.1762 0.1736 -0.8 0.2119 0.2090 0.2061 0.2033 0.2005 -0.7 0.2420 0.2389 0.2358 0.2327 0.2296 -0.6 0.2743 0.2709 0.2676 0.2643 0.2611 -0.5 0.3085 0.3050 0.3015 0.2981 0.2946 -1.1 .01 0.1711 0.3446 0.3409 0.3372 0.3336 0.1685 0.1660 0.1635 0.1611 0.1977 0.1949 0.1922 0.1894 0.1867 0.2266 0.2236 0.2206 02177 02148 0.2578 0.2546 0.2514 0.2483 0.2451 0.2912 0.2877 0.2843 0.2810 0.2776 0.3264 0.3228 03192 03156 03121 -0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483 -0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3859 0.4602 0.4562 0.4483 0.4443 0.4404 0.4364 0.4325 0.4960 0,4920 0,4880 0,4840 0,4801 04761 0.5040 0.5080 0.5120 0.5160 0.5199 05239 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6554 0,6591 0.6628 0,6664 0.6700 0.6736 0.6772 0.4247 04721 04681 0.4641 0.5279 0.5319 0.5675 05714 0.6064 0.6103 0.5359 0.5753 0.6141 0.6443 0.6480 0.6517 0.6808 0.6844 0.6879 07224 0.5 0.6 0.7 0.8 08 0.9 Standard Normal Distribution 03 .04 .05 .06 0.5000 02 2 0.6915 0,6950 0.6985 0.7019 0.7054 0.7291 0.7324 0.7357 0.7389 0.7580 0.7611 0.7881 0.7910 0.8577 0.8599 0.8621 0.8790 0.8810 0.8830 0.7088 0,7123 0.7422 0.7454 0.7642 0.7673 0.7704 0.7734 0.7764 0.7939 0,7967 0.7995 0.8023 0.8051 0.8159 0.8186 0.8212 08764 0.8289 0.8315 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 1.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 09162 0.9177 14 0.9192 0.9207 0.9222 0.9236 0,9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 09525 0.9535 0.9545 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9625 0.9633 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 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 0.9803 0.9808 0.9812 0.9817 21 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 22 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 0.9920 0.992 0.9927 0.9929 0.9931 0.9706 Tables of Areas under the Normal Curve 0.7157 0.7190 0.7486 0.7794 0.8078 0.8106 0.8340 91960 0.7549 0.7852 0.8133 0.8389 2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 26 0.9953 09955 0.9957 09955 0.9960 0.9961 0.9962 0.9963 0.9964 27 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 28 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 09980 0.9981 2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 3.0 0.9987 0.9987 0.9987 0.9988 3.1 0.9990 0.9991 0.9991 0.9991 3.2 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 3.3 0.9995 0.9995 0.9995 0.9996 0.9996 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9992 0.9992 0.9992 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 0.9992 0.9993 0.9993 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 .00 .01 .02 .03 .04 .06 .07 .08 . .09
Transcribed Image Text:10/9/23, 4:26 PM TABLE V .00 07 .08 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 -3.2 0.0007 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 -3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 -3.0 0.0013 0,0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 -2.8 0.0026 0.0024 0.0025 0.0023 0.0023 0.0022 0.0021 0:00 0.0021 0.0020 0.0019 wowy -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026 -2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 -0.0 0.0 0.1 0.2 0.3 0.4 -2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 0.0107 0.0104 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 -2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 -2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 -2.0 0.0228 0,0222 0.0217 0,0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 -1.9 0.0281 0,0274 0,0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 -1.8 0.0359 0.035) 0.0344 0.0536 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 -1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 -1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0559 -14 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 -1.3 0,0968 0.0951 0,0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 -1.2 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1005 0.0985 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 01170 -1.0 0.1587 0.1562 0.1539 0.1515 0,1492 0.1465 0.1446 0.1423 0.1401 0.1379 -0.9 0.1841 0.1814 0.1788 0.1762 0.1736 -0.8 0.2119 0.2090 0.2061 0.2033 0.2005 -0.7 0.2420 0.2389 0.2358 0.2327 0.2296 -0.6 0.2743 0.2709 0.2676 0.2643 0.2611 -0.5 0.3085 0.3050 0.3015 0.2981 0.2946 -1.1 .01 0.1711 0.3446 0.3409 0.3372 0.3336 0.1685 0.1660 0.1635 0.1611 0.1977 0.1949 0.1922 0.1894 0.1867 0.2266 0.2236 0.2206 02177 02148 0.2578 0.2546 0.2514 0.2483 0.2451 0.2912 0.2877 0.2843 0.2810 0.2776 0.3264 0.3228 03192 03156 03121 -0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483 -0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3859 0.4602 0.4562 0.4483 0.4443 0.4404 0.4364 0.4325 0.4960 0,4920 0,4880 0,4840 0,4801 04761 0.5040 0.5080 0.5120 0.5160 0.5199 05239 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6554 0,6591 0.6628 0,6664 0.6700 0.6736 0.6772 0.4247 04721 04681 0.4641 0.5279 0.5319 0.5675 05714 0.6064 0.6103 0.5359 0.5753 0.6141 0.6443 0.6480 0.6517 0.6808 0.6844 0.6879 07224 0.5 0.6 0.7 0.8 08 0.9 Standard Normal Distribution 03 .04 .05 .06 0.5000 02 2 0.6915 0,6950 0.6985 0.7019 0.7054 0.7291 0.7324 0.7357 0.7389 0.7580 0.7611 0.7881 0.7910 0.8577 0.8599 0.8621 0.8790 0.8810 0.8830 0.7088 0,7123 0.7422 0.7454 0.7642 0.7673 0.7704 0.7734 0.7764 0.7939 0,7967 0.7995 0.8023 0.8051 0.8159 0.8186 0.8212 08764 0.8289 0.8315 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 1.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 09162 0.9177 14 0.9192 0.9207 0.9222 0.9236 0,9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 09525 0.9535 0.9545 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9625 0.9633 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 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 0.9803 0.9808 0.9812 0.9817 21 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 22 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 0.9920 0.992 0.9927 0.9929 0.9931 0.9706 Tables of Areas under the Normal Curve 0.7157 0.7190 0.7486 0.7794 0.8078 0.8106 0.8340 91960 0.7549 0.7852 0.8133 0.8389 2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 26 0.9953 09955 0.9957 09955 0.9960 0.9961 0.9962 0.9963 0.9964 27 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 28 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 09980 0.9981 2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 3.0 0.9987 0.9987 0.9987 0.9988 3.1 0.9990 0.9991 0.9991 0.9991 3.2 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 3.3 0.9995 0.9995 0.9995 0.9996 0.9996 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9992 0.9992 0.9992 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 0.9992 0.9993 0.9993 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 .00 .01 .02 .03 .04 .06 .07 .08 . .09
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G i v e n comma m e a n left parenthesis mu right parenthesis equals 50 s tan d a r d space d e v i a t i o n left parenthesis sigma right parenthesis equals 7


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