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Answer C

Answer C

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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Answer C

Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1), complete parts (a) through (d) below. Click here to view page 1 of the cumulative standardized normal distribution table. Click here to view page 2 of the cumulative standardized normal distribution table. a. What is the probability that Z is between 1.59 and 1.89? The probability that Z is between - 1.59 and 1.89 is .9147 (Round to four decimal places as needed.) b. What is the probability that Z is less than - 1.59 or greater than 1.89 The probability that Z is less than - 1.59 or greater than 1.89 is 0853 (Round to four decimal places as needed.) c. What is the value of Z if only 1% of all possible Z values are larger? The value of Z if only 1% of all possible Z values are larger is (Round to two decimal places as needed.) Cumulative standardized normal distribution table Q Z -3.0 -2.9 -2.8 -2.7 0.00 0.00135 0.0019 0.0026 0.01 0.02 0.00131 0.00126 0.0018 0.0018 0.0025 0.0024 0.0034 0.0035 0.0033 -2.6 0.0047 0.0045 0.0044 -2.5 0.0062 0.0060 0.0059 -2.4 0.0082 0.0080 0.0078 -2.3 0.0107 0.0104 0.0102 -2.2 0.0139 0.0136 0.0132 -2.1 0.0179 0.0174 0.0170 -2.0 0.0228 0.0222 0.0281 0.0217 -1.9 0.0287 0.0274 0.0436 -1.8 0.0359 0.0351 -1.7 0.0446 -1.6 0.0548 -1.5 0.0668 0.0537 0.0655 -1.4 0.0808 -1.3 0.0968 -1.2 0.1151 -1.1 0.1357 -1.0 0.1587 -0.9 0.1841 -0.8 0.2119 -0.7 0.2420 -0.6 0.2743 -0.5 0.3085 -0.4 0.3446 -0.3 0.3821 -0.2 0.4207 -0.1 0.4602 -0.0 0.5000 0.0793 0.0951 0.1131 0.1112 0.1335 0.1314 0.1562 0.1814 0.2090 0.2061 0.2388 0.2358 0.2709 0.2676 0.3015 0.3372 0.3050 0.3409 0.0344 0.0427 0.0526 0.0643 0.0778 0.0934 0.3783 0.4168 0.4562 0.4960 0.1539 0.1788 0.3745 0.4129 0.4522 0.4920 Cumulative Probabilities 0.04 0.00118 0.0016 0.0023 0.0031 0.0041 0.0055 0.0073 0.03 0.00122 0.0017 0.0023 0.0032 0.0043 0.0057 0.0075 0.0099 0.0129 0.0166 0.0212 0.0268 0.0336 0.0418 0.0516 0.0630 0.0764 0.0918 0.1093 0.1292 0.1515 0.1762 0.2033 0.2327 0.2643 0.2981 0.3336 0.3707 0.4090 0.4483 0.4880 0.0096 0.0125 0.0162 0.0207 0.0262 Print 0.0329 0.0409 0.0505 0.0618 0.0749 0.0901 0.1075 0.1271 0.1492 0.1736 0.2005 0.2296 0.2611 0.2946 0.3300 0.3669 0.4052 0.4443 0.4840 0.05 0.06 0.00114 0.00111 0.0016 0.0015 0.0022 0.0021 0.0030 0.0040 0.0054 0.0071 0.0094 0.0122 0.0158 0.0202 0.0256 0.0322 0.0401 0.0495 0.0606 0.0735 0.0885 0.1056 0.1251 0.1469 0.1711 0.1977 0.2266 0.2578 0.2912 0.3264 0.3632 0.4013 0.4404 0.4801 0.0029 0.0039 0.0052 0.0069 0.0091 0.0119 0.0154 0.0197 0.0250 0.0314 0.0392 0.0485 0.0594 0.0721 0.0869 0.1038 0.1230 Done 0.1446 0.1685 0.1949 0.2236 0.2546 0.2877 0.3228 0.3594 0.3974 0.4364 0.4761 0.07 0.00107 0.0015 0.0021 0.0028 0.0038 0.0051 0.0068 0.0089 0.0116 0.0150 0.0192 0.0244 0.0307 0.0384 0.0475 0.0582 0.0708 0.0853 0.1020 0.1210 0.1423 0.1660 0.1922 0.2206 0.2514 0.2843 0.3192 0.3557 Entry represents area under the cumulative standardized normal distribution fro 0.3936 0.4325 0.4721 Cumulative standardized normal distribution table (page 2) O Z 0.00 0.0 0.5000 0.1 0.5398 0.2 0.5793 0.3 0.6179 0.4 0.6554 0.5 0.6915 0.6 0.7257 0.7 0.7580 0.8 0.7881 0.9 0.8159 1.0 0.8413 1.1 0.8643 1.2 0.8849 1.3 0.9032 1.4 0.9192 1.5 0.9332 1.6 0.9452 1.8 1.9 2.0 2.1 0.9821 1.7 0.9554 0.9641 0.9713 0.9772 2.2 0.9861 0.9893 0.9918 2.3 2.4 2.5 2.6 0.9938 0.9953 2.7 2.8 2.9 3.0 0.08 0.09 0.05 0.06 0.5199 0.5239 0.5596 0.5636 0.5987 0.6026 0.6368 0.6406 0.6736 0.6772 0.7088 0.7123 0.7422 0.7454 0.7734 0.7764 0.8023 0.8051 0.07 0.5279 0.5319 0.5359 0.5675 0.5714 0.5753 0.6064 0.6103 0.6141 0.6443 0.6480 0.6517 0.6808 0.6844 0.6879 0.7157 0.7190 0.7224 0.7486 0.7518 0.7549 0.7794 0.7823 0.7852 0.8078 0.8106 0.8133 0.8340 0.8365 0.8577 0.8599 0.8790 0.8810 0.8980 0.8997 0.9147 0.9162 0.9292 0.9418 0.8389 0.8621 0.8289 0.8531 0.8749 0.8944 0.9115 0.8315 0.8554 0.8770 0.8962 0.9131 0.9306 0.9429 0.9099 0.9251 0.9382 0.9495 0.9591 0.9671 0.9738 0.9525 0.9535 0.9599 0.9616 0.9693 0.9625 0.9699 0.9664 0.9732 0.9788 0.9678 0.9744 0.9798 0.9706 0.9767 0.9817 0.9793 0.9838 0.9265 0.9279 0.9394 0.9406 0.9505 0.9515 0.9608 0.9686 0.9750 0.9803 0.9846 0.9881 0.9909 0.9931 0.9948 0.9961 0.9971 0.9756 0.9761 0.9808 0.9812 0.9850 0.9854 0.9884 0.9887 0.9834 0.9842 0.9857 0.9890 0.9871 0.9901 0.9925 0.9875 0.9904 0.9878 0.9906 0.9929 0.9946 0.9927 0.9943 0.9957 0.9968 0.9911 0.9913 0.9916 0.9932 0.9934 0.9936 0.9945 0.9949 0.9951 0.9952 0.9959 0.9960 0.9962 0.9963 0.9964 0.9969 0.9970 0.9972 0.9973 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.99878 0.99882 0.99886 0.99889 0.99893 0.99897 0.99900 0.9966 0.9967 0.9974 0.9975 0.9976 0.9982 0.9982 0.99869 0.99874 Entry represents area under the cumulative standardized normal distribution from -∞ to Z. 0.01 0.5040 0.5438 0.5832 0.6217 0.6591 0.6950 0.7291 0.7612 0.7910 0.8186 0.8438 0.8665 0.8869 0.9049 0.9207 0.9965 0.9974 0.9981 0.99865 0.9345 0.9463 0.9564 0.9649 0.9719 0.9778 0.9826 0.9864 0.9896 0.9920 0.02 0.5080 0.5478 0.5871 0.6255 0.6628 0.6985 0.7324 0.7642 0.7939 0.8212 0.8461 0.8686 0.8888 0.9066 0.9940 0.9955 0.9222 0.9357 0.9474 0.9573 0.9656 0.9726 0.9783 0.9830 0.9868 0.9898 0.9922 Cumulative Probabilities 0.9941 0.9956 0.03 0.5120 0.5517 0.5910 0.6293 0.6664 0.7019 0.7357 0.7673 0.7967 0.8238 0.8485 0.8708 0.8907 0.9082 0.9236 0.9370 0.9484 0.9582 Print 0.04 0.5160 0.5557 0.5948 0.6331 0.6700 0.7054 0.7389 0.7704 0.7995 0.8264 0.8508 0.8729 0.8925 Done 0.8830 0.9015 0.9177 0.9319 0.9441 0.9545 0.9633 0.9981 0.9986
Transcribed Image Text:Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1), complete parts (a) through (d) below. Click here to view page 1 of the cumulative standardized normal distribution table. Click here to view page 2 of the cumulative standardized normal distribution table. a. What is the probability that Z is between 1.59 and 1.89? The probability that Z is between - 1.59 and 1.89 is .9147 (Round to four decimal places as needed.) b. What is the probability that Z is less than - 1.59 or greater than 1.89 The probability that Z is less than - 1.59 or greater than 1.89 is 0853 (Round to four decimal places as needed.) c. What is the value of Z if only 1% of all possible Z values are larger? The value of Z if only 1% of all possible Z values are larger is (Round to two decimal places as needed.) Cumulative standardized normal distribution table Q Z -3.0 -2.9 -2.8 -2.7 0.00 0.00135 0.0019 0.0026 0.01 0.02 0.00131 0.00126 0.0018 0.0018 0.0025 0.0024 0.0034 0.0035 0.0033 -2.6 0.0047 0.0045 0.0044 -2.5 0.0062 0.0060 0.0059 -2.4 0.0082 0.0080 0.0078 -2.3 0.0107 0.0104 0.0102 -2.2 0.0139 0.0136 0.0132 -2.1 0.0179 0.0174 0.0170 -2.0 0.0228 0.0222 0.0281 0.0217 -1.9 0.0287 0.0274 0.0436 -1.8 0.0359 0.0351 -1.7 0.0446 -1.6 0.0548 -1.5 0.0668 0.0537 0.0655 -1.4 0.0808 -1.3 0.0968 -1.2 0.1151 -1.1 0.1357 -1.0 0.1587 -0.9 0.1841 -0.8 0.2119 -0.7 0.2420 -0.6 0.2743 -0.5 0.3085 -0.4 0.3446 -0.3 0.3821 -0.2 0.4207 -0.1 0.4602 -0.0 0.5000 0.0793 0.0951 0.1131 0.1112 0.1335 0.1314 0.1562 0.1814 0.2090 0.2061 0.2388 0.2358 0.2709 0.2676 0.3015 0.3372 0.3050 0.3409 0.0344 0.0427 0.0526 0.0643 0.0778 0.0934 0.3783 0.4168 0.4562 0.4960 0.1539 0.1788 0.3745 0.4129 0.4522 0.4920 Cumulative Probabilities 0.04 0.00118 0.0016 0.0023 0.0031 0.0041 0.0055 0.0073 0.03 0.00122 0.0017 0.0023 0.0032 0.0043 0.0057 0.0075 0.0099 0.0129 0.0166 0.0212 0.0268 0.0336 0.0418 0.0516 0.0630 0.0764 0.0918 0.1093 0.1292 0.1515 0.1762 0.2033 0.2327 0.2643 0.2981 0.3336 0.3707 0.4090 0.4483 0.4880 0.0096 0.0125 0.0162 0.0207 0.0262 Print 0.0329 0.0409 0.0505 0.0618 0.0749 0.0901 0.1075 0.1271 0.1492 0.1736 0.2005 0.2296 0.2611 0.2946 0.3300 0.3669 0.4052 0.4443 0.4840 0.05 0.06 0.00114 0.00111 0.0016 0.0015 0.0022 0.0021 0.0030 0.0040 0.0054 0.0071 0.0094 0.0122 0.0158 0.0202 0.0256 0.0322 0.0401 0.0495 0.0606 0.0735 0.0885 0.1056 0.1251 0.1469 0.1711 0.1977 0.2266 0.2578 0.2912 0.3264 0.3632 0.4013 0.4404 0.4801 0.0029 0.0039 0.0052 0.0069 0.0091 0.0119 0.0154 0.0197 0.0250 0.0314 0.0392 0.0485 0.0594 0.0721 0.0869 0.1038 0.1230 Done 0.1446 0.1685 0.1949 0.2236 0.2546 0.2877 0.3228 0.3594 0.3974 0.4364 0.4761 0.07 0.00107 0.0015 0.0021 0.0028 0.0038 0.0051 0.0068 0.0089 0.0116 0.0150 0.0192 0.0244 0.0307 0.0384 0.0475 0.0582 0.0708 0.0853 0.1020 0.1210 0.1423 0.1660 0.1922 0.2206 0.2514 0.2843 0.3192 0.3557 Entry represents area under the cumulative standardized normal distribution fro 0.3936 0.4325 0.4721 Cumulative standardized normal distribution table (page 2) O Z 0.00 0.0 0.5000 0.1 0.5398 0.2 0.5793 0.3 0.6179 0.4 0.6554 0.5 0.6915 0.6 0.7257 0.7 0.7580 0.8 0.7881 0.9 0.8159 1.0 0.8413 1.1 0.8643 1.2 0.8849 1.3 0.9032 1.4 0.9192 1.5 0.9332 1.6 0.9452 1.8 1.9 2.0 2.1 0.9821 1.7 0.9554 0.9641 0.9713 0.9772 2.2 0.9861 0.9893 0.9918 2.3 2.4 2.5 2.6 0.9938 0.9953 2.7 2.8 2.9 3.0 0.08 0.09 0.05 0.06 0.5199 0.5239 0.5596 0.5636 0.5987 0.6026 0.6368 0.6406 0.6736 0.6772 0.7088 0.7123 0.7422 0.7454 0.7734 0.7764 0.8023 0.8051 0.07 0.5279 0.5319 0.5359 0.5675 0.5714 0.5753 0.6064 0.6103 0.6141 0.6443 0.6480 0.6517 0.6808 0.6844 0.6879 0.7157 0.7190 0.7224 0.7486 0.7518 0.7549 0.7794 0.7823 0.7852 0.8078 0.8106 0.8133 0.8340 0.8365 0.8577 0.8599 0.8790 0.8810 0.8980 0.8997 0.9147 0.9162 0.9292 0.9418 0.8389 0.8621 0.8289 0.8531 0.8749 0.8944 0.9115 0.8315 0.8554 0.8770 0.8962 0.9131 0.9306 0.9429 0.9099 0.9251 0.9382 0.9495 0.9591 0.9671 0.9738 0.9525 0.9535 0.9599 0.9616 0.9693 0.9625 0.9699 0.9664 0.9732 0.9788 0.9678 0.9744 0.9798 0.9706 0.9767 0.9817 0.9793 0.9838 0.9265 0.9279 0.9394 0.9406 0.9505 0.9515 0.9608 0.9686 0.9750 0.9803 0.9846 0.9881 0.9909 0.9931 0.9948 0.9961 0.9971 0.9756 0.9761 0.9808 0.9812 0.9850 0.9854 0.9884 0.9887 0.9834 0.9842 0.9857 0.9890 0.9871 0.9901 0.9925 0.9875 0.9904 0.9878 0.9906 0.9929 0.9946 0.9927 0.9943 0.9957 0.9968 0.9911 0.9913 0.9916 0.9932 0.9934 0.9936 0.9945 0.9949 0.9951 0.9952 0.9959 0.9960 0.9962 0.9963 0.9964 0.9969 0.9970 0.9972 0.9973 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.99878 0.99882 0.99886 0.99889 0.99893 0.99897 0.99900 0.9966 0.9967 0.9974 0.9975 0.9976 0.9982 0.9982 0.99869 0.99874 Entry represents area under the cumulative standardized normal distribution from -∞ to Z. 0.01 0.5040 0.5438 0.5832 0.6217 0.6591 0.6950 0.7291 0.7612 0.7910 0.8186 0.8438 0.8665 0.8869 0.9049 0.9207 0.9965 0.9974 0.9981 0.99865 0.9345 0.9463 0.9564 0.9649 0.9719 0.9778 0.9826 0.9864 0.9896 0.9920 0.02 0.5080 0.5478 0.5871 0.6255 0.6628 0.6985 0.7324 0.7642 0.7939 0.8212 0.8461 0.8686 0.8888 0.9066 0.9940 0.9955 0.9222 0.9357 0.9474 0.9573 0.9656 0.9726 0.9783 0.9830 0.9868 0.9898 0.9922 Cumulative Probabilities 0.9941 0.9956 0.03 0.5120 0.5517 0.5910 0.6293 0.6664 0.7019 0.7357 0.7673 0.7967 0.8238 0.8485 0.8708 0.8907 0.9082 0.9236 0.9370 0.9484 0.9582 Print 0.04 0.5160 0.5557 0.5948 0.6331 0.6700 0.7054 0.7389 0.7704 0.7995 0.8264 0.8508 0.8729 0.8925 Done 0.8830 0.9015 0.9177 0.9319 0.9441 0.9545 0.9633 0.9981 0.9986
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Step 1: Mentioning the given data

Population mean, straight mu equals 0

Population standard deviation, straight sigma equals 1

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