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Given a normal distribution wth u= 100 and o - 10, complete parts (a) through (d) Click here to view page 1 of the cumulative standardized normal distribution table Click here to view page 2 of the cumulative standardized nomal distribut on table a What is the probability that X> 75? The probability that X > 75 is 0.9938 (Round to four decimal places as needed) b. What is the probability that X<90? The probability that X<90 is 0.1587 (Round to four decimal places as needed.) c What is the probability that X< 70 or X> 130? The probability that X< 70 or X> 130 is 0.0028 (Round to four decimal places as needed) d. 90% of the values are between what two X values (symmetricaly distributed arounnd the mean) 90% of the values are greater than (Round to two decimal places as needed) and less than

Given a normal distribution wth u= 100 and o - 10, complete parts (a) through (d) Click here to view page 1 of the cumulative standardized normal distribution table Click here to view page 2 of the cumulative standardized nomal distribut on table a What is the probability that X> 75? The probability that X > 75 is 0.9938 (Round to four decimal places as needed) b. What is the probability that X<90? The probability that X<90 is 0.1587 (Round to four decimal places as needed.) c What is the probability that X< 70 or X> 130? The probability that X< 70 or X> 130 is 0.0028 (Round to four decimal places as needed) d. 90% of the values are between what two X values (symmetricaly distributed arounnd the mean) 90% of the values are greater than (Round to two decimal places as needed) and less than

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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Given a normal distribution wth u= 100 and o - 10, complete parts (a) through (d) E Click here to view page 1 of the cumulative standardized normal distribution table E Click here to view page 2 of the cumulative standardized normal distribution table i Cumulative standardized norma distribution table (page 1) - X Cumulative standardized normal distribution table (page 2) a What is the probability that X>75? Z 0.00 0.01 - 3.0 0 0014 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 00015 0.0015 0.0014 0 0014 2.8 0.0026 0 .0025 0 0024 0.0023 0.0023 0 0022 0.0021 0.0021 0.0020 0.0019 -2.7 00035 O 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 0036 0.0037 0,0036 -2.5 0.0062 0.0060 0 0059 0.0057 0 0055 0.0054 00052 0.0051 0 0049 0.0048 -2.4 0 0082 0 0080 0.0078 0 0075 0.00/3 0 0071 0.0069 0 0063 0.0066 O 0064 -2.3 00107 0.0104 0 0102 0.0009 0.0095 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 oo16 0.0113 00110 -2.1 0.0179 0.0174 0 0170 0.0166 00162 0.0158 00154 0.0150 0 0146 0.0143 -2.0 0.0228 0.0222 0.021/ 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 0252 0.0256 0 0250 0.0244 0.0239 0.0233 -1.8 0 0350 0.0351 0.0344 0 0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 -17 0.0446 0.0436 0 0427 0.0418 0.0409 0.0401 0 0392 0.0384 0.03/5 0 0367 -1.6 0 054B 0.0537 0.0526 0.0516 0.0505 0.0495 0.0185 0.0475 0 0465 0.0455 -1.5 0.0668 0.0655 0 0543 0.0630 0.0618 O 0506 0.0594 0.0682 0.0571 0.0659 -1.4 0.0808 0 0793 0.0778 0.0/64 00749 0.0735 00721 0.0708 0.06i14 0 0631 -1.3 0.0968 0.0951 0.0934 0 0018 0.0901 0.0385 0 0069 0.0653 0 OR36 0.0823 -1.2 0 1151 0 1131 0 1112 0.1093 0.10/5 0 1056 0.1038 0 1020 0.1003 0.0985 -11 0 1357 0.1335 0.1314 0.1297 0 1271 0.1251 0.1230 0.1210 0.1190 0 1170 -10 0.1587 0. 1562 0 1539 0. 1515 0.1492 0.1469 0 1446 0.1423 0 1401 0.1379 - 0.9 0 1841 0.1814 0.1786 0.1762 0.1/36 0 1711 0.1685 0.1660 0 1635 0.1611 -0.8 0.2119 0.2090 0.2061 0 2033 0 2005 0.1977 0.1949 0 1922 0.1894 0 1867 - 0.7 0.2420 0.2388 0 2358 0.2327 0.2296 0.2266 0 2236 0.2206 0.2177 0.2148 -0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0 257a 0.2546 0.2514 0.2462 0.2451 - 0.5 0.3085 0.3050 0.3015 0 2981 0.2016 0.2912 0.2877 0 2843 0.2810 0.2776 -0.4 0.3446 0.3400 0.3372 0.3335 0.3300 0.3254 0 3228 0.3192 0.3156 0.3121 - 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 04129 0.4090 0 4052 0.4013 0.3974 0 3936 0.3897 0 3859 - 0.1 0 4602 0 4562 04522 0.4433 0.4443 0.4404 04364 0.4325 0.4286 0 4247 -0.0 0.5000 0.4960 04920 0.4880 0.4840 04801 0.4761 0.4721 04681 0.4641 0.02 0.03 0.04 0.05 The probability that X > 75 is 0.9938 (Round to four decimal places as needed) 0.06 0.07 0.08 0.09 2 0.00 0.01 0.02 0.03 0.05 0.07 0.04 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0 5279 0.5319 0.5359 0.1 05398 0. 5438 0.5478 0 5517 0.5557 0.5596 0.5636 0.56/5 0.5714 0.5753 0.2 0.5793 0 5832 0.5871 0.5910 0 5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.3 0.6179 0.6217 0 6255 0.6293 0.6331 0 6368 0.6406 06443 0.648o 0.6517 0.4 0 6554 0 6591 0.6628 O 6564 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.5 0.6915 0 6950 0.6935 0.7019 0 7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.6 0.7257 0.7291 0 7324 0.7357 0.73890 /422 0.7454 0./486 0.7518 0.7549 0.7 0.7580 0 7612 0.7642 0.7673 0.7704 0.7734 0 7764 0.7794 0 7823 0.7852 0.8 0 7881 0.7910 0 7939 0.7967 0.7995 0 8023 0.8051 0.8078 0.8106 O B133 0.9 0.8159 08136 0.8212 0 8238 0.8264 0.8289 0.8315 0.8340 0 8365 0.8389 1.0 0 8413 0. 8438 0 8461 0.8485 0.8508 0 8531 0.8554 0.8577 0.8599 0 8621 1.1 0.8643 0a665 0.8686 0 8/08 0.8729 0.8/49 08770 0.8790 0.8810 0.8830 12 0 8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8990 0.8997 0 9015 1.3 0.9032 09049 0.9066 0 9082 0.9099 0.9115 0.9131 0.9147 09162 0.9177 1.4 0.9192 0.9207 0 9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.5 0 9332 09345 0.9357 0.93/0 0.9382 0.9394 0 9406 0.9418 0,9429 0.9441 1.6 0. 452 0 9163 0.9474 0 9434 0.9495 0 9505 0.9515 0.9525 0.9535 0.9545 1.7 0 9554 0.9564 09573 0.9582 0 9691 0.9599 0.9606 0.9616 0.9625 0.9633 1,8 0.9641 0 9649 0.9656 09664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 1.9 0.9/13 0.9719 0.9/26 0.9732 09738 0.9744 0.9/50 0 9756 0.9761 09767 2.0 0 9772 0.9778 0.9783 0.9/88 0.9793 0.9/08 0.9803 0.9808 0.9812 0.9817 2.1 0.9821 0 9626 0.9830 0 9834 0.9838 0.9842 0.9846 0.9850 0.9654 0.9857 2.2 0 9861 0.9864 0 9868 0.9871 0 9875 0.9878 0.9881 0.9084 0.9887 0.9890 2.3 0 9893 0.9a96 0.9098 O.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0,9916 2.4 0.9918 09920 0.9922 0.9925 0.9927 0.9929 0.9931 0 9932 0.9934 0.9936 2.5 0 9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9052 2.6 0.9953 0.9965 0.9956 0.9957 0.9959 0 9060 0.9961 0.9962 0.9963 0.9964 2.7 0.9965 0 9966 0.996/ 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 2.8 0.9974 0.9975 0 9976 0.99/7 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9936 3.0| 0.9987 09987 0.9987 0 9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 0.06 0.08 0.09 b. What is the probability that X<907 The probability that X<90 is 0.1587 (Round to four decimal places as needed.) c. What is the probability thatX<70 or X > 130? The probability that X < 70 or X> 130 is 0.0028 (Round to four decimal places as needed.) d. 90% of the values are between what two X values (symmetricaly distributed around the mean)? 90% of the values are greater than and less than (Round to two decimal places as needed)
Transcribed Image Text:Given a normal distribution wth u= 100 and o - 10, complete parts (a) through (d) E Click here to view page 1 of the cumulative standardized normal distribution table E Click here to view page 2 of the cumulative standardized normal distribution table i Cumulative standardized norma distribution table (page 1) - X Cumulative standardized normal distribution table (page 2) a What is the probability that X>75? Z 0.00 0.01 - 3.0 0 0014 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 00015 0.0015 0.0014 0 0014 2.8 0.0026 0 .0025 0 0024 0.0023 0.0023 0 0022 0.0021 0.0021 0.0020 0.0019 -2.7 00035 O 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 0036 0.0037 0,0036 -2.5 0.0062 0.0060 0 0059 0.0057 0 0055 0.0054 00052 0.0051 0 0049 0.0048 -2.4 0 0082 0 0080 0.0078 0 0075 0.00/3 0 0071 0.0069 0 0063 0.0066 O 0064 -2.3 00107 0.0104 0 0102 0.0009 0.0095 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 oo16 0.0113 00110 -2.1 0.0179 0.0174 0 0170 0.0166 00162 0.0158 00154 0.0150 0 0146 0.0143 -2.0 0.0228 0.0222 0.021/ 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 0252 0.0256 0 0250 0.0244 0.0239 0.0233 -1.8 0 0350 0.0351 0.0344 0 0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 -17 0.0446 0.0436 0 0427 0.0418 0.0409 0.0401 0 0392 0.0384 0.03/5 0 0367 -1.6 0 054B 0.0537 0.0526 0.0516 0.0505 0.0495 0.0185 0.0475 0 0465 0.0455 -1.5 0.0668 0.0655 0 0543 0.0630 0.0618 O 0506 0.0594 0.0682 0.0571 0.0659 -1.4 0.0808 0 0793 0.0778 0.0/64 00749 0.0735 00721 0.0708 0.06i14 0 0631 -1.3 0.0968 0.0951 0.0934 0 0018 0.0901 0.0385 0 0069 0.0653 0 OR36 0.0823 -1.2 0 1151 0 1131 0 1112 0.1093 0.10/5 0 1056 0.1038 0 1020 0.1003 0.0985 -11 0 1357 0.1335 0.1314 0.1297 0 1271 0.1251 0.1230 0.1210 0.1190 0 1170 -10 0.1587 0. 1562 0 1539 0. 1515 0.1492 0.1469 0 1446 0.1423 0 1401 0.1379 - 0.9 0 1841 0.1814 0.1786 0.1762 0.1/36 0 1711 0.1685 0.1660 0 1635 0.1611 -0.8 0.2119 0.2090 0.2061 0 2033 0 2005 0.1977 0.1949 0 1922 0.1894 0 1867 - 0.7 0.2420 0.2388 0 2358 0.2327 0.2296 0.2266 0 2236 0.2206 0.2177 0.2148 -0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0 257a 0.2546 0.2514 0.2462 0.2451 - 0.5 0.3085 0.3050 0.3015 0 2981 0.2016 0.2912 0.2877 0 2843 0.2810 0.2776 -0.4 0.3446 0.3400 0.3372 0.3335 0.3300 0.3254 0 3228 0.3192 0.3156 0.3121 - 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 04129 0.4090 0 4052 0.4013 0.3974 0 3936 0.3897 0 3859 - 0.1 0 4602 0 4562 04522 0.4433 0.4443 0.4404 04364 0.4325 0.4286 0 4247 -0.0 0.5000 0.4960 04920 0.4880 0.4840 04801 0.4761 0.4721 04681 0.4641 0.02 0.03 0.04 0.05 The probability that X > 75 is 0.9938 (Round to four decimal places as needed) 0.06 0.07 0.08 0.09 2 0.00 0.01 0.02 0.03 0.05 0.07 0.04 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0 5279 0.5319 0.5359 0.1 05398 0. 5438 0.5478 0 5517 0.5557 0.5596 0.5636 0.56/5 0.5714 0.5753 0.2 0.5793 0 5832 0.5871 0.5910 0 5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.3 0.6179 0.6217 0 6255 0.6293 0.6331 0 6368 0.6406 06443 0.648o 0.6517 0.4 0 6554 0 6591 0.6628 O 6564 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.5 0.6915 0 6950 0.6935 0.7019 0 7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.6 0.7257 0.7291 0 7324 0.7357 0.73890 /422 0.7454 0./486 0.7518 0.7549 0.7 0.7580 0 7612 0.7642 0.7673 0.7704 0.7734 0 7764 0.7794 0 7823 0.7852 0.8 0 7881 0.7910 0 7939 0.7967 0.7995 0 8023 0.8051 0.8078 0.8106 O B133 0.9 0.8159 08136 0.8212 0 8238 0.8264 0.8289 0.8315 0.8340 0 8365 0.8389 1.0 0 8413 0. 8438 0 8461 0.8485 0.8508 0 8531 0.8554 0.8577 0.8599 0 8621 1.1 0.8643 0a665 0.8686 0 8/08 0.8729 0.8/49 08770 0.8790 0.8810 0.8830 12 0 8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8990 0.8997 0 9015 1.3 0.9032 09049 0.9066 0 9082 0.9099 0.9115 0.9131 0.9147 09162 0.9177 1.4 0.9192 0.9207 0 9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.5 0 9332 09345 0.9357 0.93/0 0.9382 0.9394 0 9406 0.9418 0,9429 0.9441 1.6 0. 452 0 9163 0.9474 0 9434 0.9495 0 9505 0.9515 0.9525 0.9535 0.9545 1.7 0 9554 0.9564 09573 0.9582 0 9691 0.9599 0.9606 0.9616 0.9625 0.9633 1,8 0.9641 0 9649 0.9656 09664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 1.9 0.9/13 0.9719 0.9/26 0.9732 09738 0.9744 0.9/50 0 9756 0.9761 09767 2.0 0 9772 0.9778 0.9783 0.9/88 0.9793 0.9/08 0.9803 0.9808 0.9812 0.9817 2.1 0.9821 0 9626 0.9830 0 9834 0.9838 0.9842 0.9846 0.9850 0.9654 0.9857 2.2 0 9861 0.9864 0 9868 0.9871 0 9875 0.9878 0.9881 0.9084 0.9887 0.9890 2.3 0 9893 0.9a96 0.9098 O.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0,9916 2.4 0.9918 09920 0.9922 0.9925 0.9927 0.9929 0.9931 0 9932 0.9934 0.9936 2.5 0 9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9052 2.6 0.9953 0.9965 0.9956 0.9957 0.9959 0 9060 0.9961 0.9962 0.9963 0.9964 2.7 0.9965 0 9966 0.996/ 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 2.8 0.9974 0.9975 0 9976 0.99/7 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9936 3.0| 0.9987 09987 0.9987 0 9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 0.06 0.08 0.09 b. What is the probability that X<907 The probability that X<90 is 0.1587 (Round to four decimal places as needed.) c. What is the probability thatX<70 or X > 130? The probability that X < 70 or X> 130 is 0.0028 (Round to four decimal places as needed.) d. 90% of the values are between what two X values (symmetricaly distributed around the mean)? 90% of the values are greater than and less than (Round to two decimal places as needed)
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