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Assume that the random variable X is normally distributed, with mean μ = 50 and standard deviation a=8. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(X ≤ 46) Which of the following shaded regions corresponds to P(X=46)? A 46 50 Q Q G P(X ≤ 46)= (Round to four decimal places as needed.) O B. Q Q pi 46 50 O C. 46 50

Assume that the random variable X is normally distributed, with mean μ = 50 and standard deviation a=8. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(X ≤ 46) Which of the following shaded regions corresponds to P(X=46)? A 46 50 Q Q G P(X ≤ 46)= (Round to four decimal places as needed.) O B. Q Q pi 46 50 O C. 46 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 that the random variable X is normally distributed, with mean μ = 50 and standard deviation o= 8. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(X ≤ 46) Which of the following shaded regions corresponds to P(X ≤46)? A. 46 50 P(X ≤ 46) = (Round to four decimal places as needed.) O B. 46 50 Q C O C. A 46 50
Transcribed Image Text:Assume that the random variable X is normally distributed, with mean μ = 50 and standard deviation o= 8. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(X ≤ 46) Which of the following shaded regions corresponds to P(X ≤46)? A. 46 50 P(X ≤ 46) = (Round to four decimal places as needed.) O B. 46 50 Q C O C. A 46 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> 35) Click the icon to view a table of areas under the normal curve. Which of the following normal curves corresponds to P(X>35)? CA. 35 50 ✔ P(X>35)= .0162 (Round to four decimal places as needed.) Tables of Areas under the Normal Curve D TABLE V z 32 33 378 99999 39879 97777 7777788203 99898 53203 99599 23833 -2.0 Standard Normal Distribution .02 .03 .04 .05 .06 .07 .00 .01 .08 .09 0.0003 0.0003 0.0005 0.0007 0.0007 0.0010 0.0009 0.0013 0.0013 0.0019 0.0018 0.0026 0.0025 0.0035 0.0034 0.0033 0.0032 0.0031 0.0047 0.0045 0.0044 0.0043 0.0041 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 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 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 0.0030 0.0029 0.0028 0.0027 0.0026 0.0040 0.0039 0.0038 0.0037 0.0036 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 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 0.0968 0.0951 0.0934 0.0918 0,0901 0.0885 0.0869 0.0853 0.0838 0.0823 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 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 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 0.2389 0.2358 07377 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776 0.3264 0.3228 0.3192 0.3156 0.3121 03632 0.3594 03557 0.3520 0.3483 0.4013 0.3974 0.3936 0.3897 0.3859 0.2420 0.2743 0.3085 0.3050 0 3015 0.3446 0.3409 0.3372 0.3336 0.3300 0.3821 0.3783 03745 0.3707 0.3669 0.4207 0.4168 0.4129 0.4090 0.4052 0.6179 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 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 0.5987 06026 0.6064 0.6103 0.6141 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 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 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 0.935 0.935 0.9394 0.9406 0.9418 0.9429 0.9441 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 0.9591 0.9599 09608 0.9616 0.9625 0.9633 0.9452 0.9463 0.9474 0.9484 0.9554 0.9564 0.9573 0.9582 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 09857 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 - X O C. 35 50 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(X> 35) Click the icon to view a table of areas under the normal curve. Which of the following normal curves corresponds to P(X>35)? CA. 35 50 ✔ P(X>35)= .0162 (Round to four decimal places as needed.) Tables of Areas under the Normal Curve D TABLE V z 32 33 378 99999 39879 97777 7777788203 99898 53203 99599 23833 -2.0 Standard Normal Distribution .02 .03 .04 .05 .06 .07 .00 .01 .08 .09 0.0003 0.0003 0.0005 0.0007 0.0007 0.0010 0.0009 0.0013 0.0013 0.0019 0.0018 0.0026 0.0025 0.0035 0.0034 0.0033 0.0032 0.0031 0.0047 0.0045 0.0044 0.0043 0.0041 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 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 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 0.0030 0.0029 0.0028 0.0027 0.0026 0.0040 0.0039 0.0038 0.0037 0.0036 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 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 0.0968 0.0951 0.0934 0.0918 0,0901 0.0885 0.0869 0.0853 0.0838 0.0823 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 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 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 0.2389 0.2358 07377 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776 0.3264 0.3228 0.3192 0.3156 0.3121 03632 0.3594 03557 0.3520 0.3483 0.4013 0.3974 0.3936 0.3897 0.3859 0.2420 0.2743 0.3085 0.3050 0 3015 0.3446 0.3409 0.3372 0.3336 0.3300 0.3821 0.3783 03745 0.3707 0.3669 0.4207 0.4168 0.4129 0.4090 0.4052 0.6179 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 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 0.5987 06026 0.6064 0.6103 0.6141 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 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 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 0.935 0.935 0.9394 0.9406 0.9418 0.9429 0.9441 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 0.9591 0.9599 09608 0.9616 0.9625 0.9633 0.9452 0.9463 0.9474 0.9484 0.9554 0.9564 0.9573 0.9582 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 09857 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 - X O C. 35 50 Q
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