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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(53≤x≤70) Click the icon to view a table of areas under the normal curve. Which of the following normal curves corresponds to P(53≤x≤70)? OA. ^ 5053 70 Q P(53≤x≤70) = (Round to four decimal places as needed.) Tables of Areas under the Normal Curve Area TABLE V z .00 .01 .07 08 09 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 -3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0005 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 0.0010 0.0009 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 00011 0.0010 0.0010 0.0018 0.0018 0.0019 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 0.0026 0.0025 0.0004 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 0.0032 0.0031 0.0030 0.0025 0.0029 0.0008 0.0027 00026 0.0043 0.0041 0.0040 0.0039 0.0039 0.0038 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 0.0035 0.0034 0.0033 0.0047 0.0045 0.0044 0.0062 0.0060 0.0059 0.0057 0.0037 0.0036 -3.1 -3.0 Standard Normal Distribution 003 04 .05 -29 -28 -27 -26 -25 X 50 53 70

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(53≤x≤70) Click the icon to view a table of areas under the normal curve. Which of the following normal curves corresponds to P(53≤x≤70)? OA. ^ 5053 70 Q P(53≤x≤70) = (Round to four decimal places as needed.) Tables of Areas under the Normal Curve Area TABLE V z .00 .01 .07 08 09 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 -3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0005 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 0.0010 0.0009 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 00011 0.0010 0.0010 0.0018 0.0018 0.0019 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 0.0026 0.0025 0.0004 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 0.0032 0.0031 0.0030 0.0025 0.0029 0.0008 0.0027 00026 0.0043 0.0041 0.0040 0.0039 0.0039 0.0038 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 0.0035 0.0034 0.0033 0.0047 0.0045 0.0044 0.0062 0.0060 0.0059 0.0057 0.0037 0.0036 -3.1 -3.0 Standard Normal Distribution 003 04 .05 -29 -28 -27 -26 -25 X 50 53 70

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(53≤x≤70) Click the icon to view a table of areas under the normal curve. Which of the following normal curves corresponds to P(53≤X≤70)? O A. 50 53 70 Q Q P(53 ≤x≤70) = (Round to four decimal places as needed.) Tables of Areas under the Normal Curve Area TABLE V z -3.4 -3.3 -3.2 -3.1 -3.0 -2.9 -2.8 -2.7 -2.6 -2.5 -2.4 -2.3 -2.2 -2.1 -2.0 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 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 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 -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 0.0427 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 0.0571 0.0559 -1.4 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 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 -1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611 -1.0 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 -0.0 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 Standard Normal Distribution .02 .03 .04 .05 .06 .07 .08 .09 .00 .01 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 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 0.0010 0.0009 0.0009 0.0009 0.0013 0.0013 0.0013 0.0012 0.0019 0.0018 0.0018 0.0017 0.0026 0.0025 0.0024 0.0023 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 0.0016 0.0015 0.0016 0.0015 0.0014 0.0014 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026 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 1.0 1.1 1.2 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247 0.4602 0.4562 0.4522 0.4483 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641 0.5199 0.5239 0.5279 0.5319 0.5359 0.5000 0.5040 0.5080 0.5120 0.5160 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 05714 0.5753 0.5793 0.5832 0.5871 0.5910 0.5948 0.6179 0.6217 0.6255 0.6293 0.6331 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.5987 0.6026 0.6064 0.6103 0.6141 0.6368 0.6406 0.6443 0.6480 0.6517 0.6808 0.6844 0.6879 0.7157 0.7190 0.7224 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.7881 0.7910 0.7939 0,7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.3 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 0.9463 0.9474 1.5 0.9332 0.9345 0.9357 1.6 0.9452 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 amin 00700 1.7 1.8 10 B073 0033 mare 00701 pa a para - X ✓C 50 53 70 Q Q
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(53≤x≤70) Click the icon to view a table of areas under the normal curve. Which of the following normal curves corresponds to P(53≤X≤70)? O A. 50 53 70 Q Q P(53 ≤x≤70) = (Round to four decimal places as needed.) Tables of Areas under the Normal Curve Area TABLE V z -3.4 -3.3 -3.2 -3.1 -3.0 -2.9 -2.8 -2.7 -2.6 -2.5 -2.4 -2.3 -2.2 -2.1 -2.0 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 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 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 -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 0.0427 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 0.0571 0.0559 -1.4 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 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 -1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611 -1.0 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 -0.0 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 Standard Normal Distribution .02 .03 .04 .05 .06 .07 .08 .09 .00 .01 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 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 0.0010 0.0009 0.0009 0.0009 0.0013 0.0013 0.0013 0.0012 0.0019 0.0018 0.0018 0.0017 0.0026 0.0025 0.0024 0.0023 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 0.0016 0.0015 0.0016 0.0015 0.0014 0.0014 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026 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 1.0 1.1 1.2 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247 0.4602 0.4562 0.4522 0.4483 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641 0.5199 0.5239 0.5279 0.5319 0.5359 0.5000 0.5040 0.5080 0.5120 0.5160 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 05714 0.5753 0.5793 0.5832 0.5871 0.5910 0.5948 0.6179 0.6217 0.6255 0.6293 0.6331 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.5987 0.6026 0.6064 0.6103 0.6141 0.6368 0.6406 0.6443 0.6480 0.6517 0.6808 0.6844 0.6879 0.7157 0.7190 0.7224 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.7881 0.7910 0.7939 0,7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.3 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 0.9463 0.9474 1.5 0.9332 0.9345 0.9357 1.6 0.9452 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 amin 00700 1.7 1.8 10 B073 0033 mare 00701 pa a para - X ✓C 50 53 70 Q Q
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