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Suppose a geyser has a mean time between eruptions of 80 minutes. If the interval of time between the eruptions is normally distributed with standard deviation 18 minutes, answer the following questions. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What is the probability that a randomly selected time interval between eruptions is longer than 89 minutes? The probability that a randomly selected time interval is longer than 89 minutes is approximately (Round to four decimal places as needed.)

Suppose a geyser has a mean time between eruptions of 80 minutes. If the interval of time between the eruptions is normally distributed with standard deviation 18 minutes, answer the following questions. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What is the probability that a randomly selected time interval between eruptions is longer than 89 minutes? The probability that a randomly selected time interval is longer than 89 minutes is approximately (Round to four decimal places as needed.)

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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Suppose a geyser has a mean time between eruptions of 80 minutes. If the interval of time between the eruptions is normally distributed with standard deviation 18 minutes, answer the following questions. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2), (a) What is the probability that a randomly selected time interval between eruptions is longer than 89 minutes? The probability that a randomly selected time interval is longer than 89 minutes is approximately . (Round to four decimal places as needed.) Standard Normal Distribution Table (page 1) Area Standard Normal Distribution 0,03 0.00 0.01 0.02 0.04 0.05 0.06 0.07 0.08 0.09 -34 ー33 0.0003 0.0005 0.0007 0.0003 0.0005 0.0007 0.0003 0.0005 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0005 0.0003 0.0003 0.0004 0.0005 0.0007 0.0010 0.0002 0.0003 0.0005 0.0007 0.0010 0.0004 0.0006 -32 2 -31 -30 0.0010 0.0013 0.0009 0.0013 0.0009 0.0013 0.0009 0.0008 0.0012 0.0008 0.0011 0.0008 0.0011 0.0008 0.0011 0.0012 -29 ー2 -2.7 -2.6 -2.5 0.0019 0.0026 0.0035 0.0018 0.0025 0.0034 0.0018 0.0024 0.0033 0.0017 0.0023 0.0032 0.0016 0.0023 0.0031 0.0016 0.0022 0.0030 0.0015 0.0021 0.0029 0.0039 0.0052 0.0015 0.0021 0.0028 0.0038 0.0051 0.0014 0.0020 0.0027 0.0037 0.0049 0.0014 0.0019 0.0026 0.0036 0.0048 0.0047 0.0045 0.0060 0.0044 0.0059 0.0043 0.0057 0.0041 0.0055 0.0040 0.0054 0.0062 -24 -2.3 -2.2 -2.1 -20 0.0082 0.0107 0.0139 0.0179 0.0228 0.0080 0.0104 0.0136 0.0174 0.0222 0.0078 0.0102 0.0132 0.0170 0.0217 0.0075 0.0099 0.0073 0.0096 0.0125 0.0162 0.0207 0.0071 0.0094 0.0122 0.0158 0.0202 0.0069 0.0068 0.0089 0.0066 0.0087 0.0129 0.0166 0.0212 0.0091 0.0119 0.0154 0.0197 0.0064 0.0084 0.0110 0.0143 0.0183 0.0116 0.0113 0.0150 0.0192 0.0146 0.0188 -1.9 -1.8 -1.7 0.0250 0.0314 0.0392 0.0485 0.0594 0.0287 0.0281 0.0274 0.0344 0.0427 0.0268 0.0336 0.0418 0.0516 0.0630 0.0262 0.0256 0.0359 0.0446 0.0244 0.0307 0.0384 0.0239 0.0301 0.0375 0.0233 0.0294 0.0367 0.0351 0.0436 0.0537 0.0655 0.0329 0.0409 0.0322 0.0401 0.0495 0.0606 -1.6 -1.5 0.0548 0.0526 0.0643 0.0505 0.0618 0.0475 0.0465 0.0571 0.0455 0.0559 0.0668 0.0582 -14 -13 -1.2 0.0808 0.0968 0.1151 0.0793 0.0951 0.1131 0.0778 0.0934 0.1112 0.0764 0.0918 0.1093 0.0749 0.0901 0.1075 0.0735 0.0885 0.1056 0.0721 0.0869 0.1038 0.0708 0.0853 0.1020 0.0694 0.0838 0.1003 0.0681 0.0823 0.0985 -1.1 -10 0.1357 0.1587 0.1335 0.1562 0.1292 0.1515 0.1251 0.1469 0.1170 0.1379 0.1314 0.1271 0.1230 0.1210 0.1190 0.1539 0.1492 0.1446 0.1423 0.1401 0.1841 0.2119 0.2420 0.2743 0.3085 0.1814 0.2090 0.2389 0.2709 0.3050 0.1788 0.2061 0.2358 0.2676 0.3015 0.1762 0.1736 0.1711 0.1977 0.2266 0.2578 0.2912 0.1685 0.1949 0.2236 0.2546 0.2877 0.1660 0.1635 0.1894 0.2177 0.2483 0.2810 0.1611 0.1867 0.2148 0.2451 0.2776 -0,9 0.2033 0.2327 0.2643 0.2981 0.2005 0.2296 0.2611 0.2946 0.1922 0.2206 0.2514 0.2843 -0.7 -0.6 -0.5 -04 -03 -0.2 -0.1 -0.0 0.3446 0.3409 0.3783 0.4168 04562 0.4960 0.3372 0.3745 0.4129 0.4522 0.4920 0.3336 0.3707 0.4090 0.4483 0.4880 0.3300 0.3669 0.3264 0.3632 0.4013 0.4404 0.4801 0.3228 0.3594 0.3974 0.3192 0.3557 0.3936 0.3156 0.3121 0.3520 0.3897 0.4286 0.4681 0.3483 0.3859 0,4247 0.4641 0.3821 0.4207 0.4602 0.5000 0.4052 0.4443 0.4840 0.4364 0.4761 0.4325 0.4721 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
Transcribed Image Text:Suppose a geyser has a mean time between eruptions of 80 minutes. If the interval of time between the eruptions is normally distributed with standard deviation 18 minutes, answer the following questions. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2), (a) What is the probability that a randomly selected time interval between eruptions is longer than 89 minutes? The probability that a randomly selected time interval is longer than 89 minutes is approximately . (Round to four decimal places as needed.) Standard Normal Distribution Table (page 1) Area Standard Normal Distribution 0,03 0.00 0.01 0.02 0.04 0.05 0.06 0.07 0.08 0.09 -34 ー33 0.0003 0.0005 0.0007 0.0003 0.0005 0.0007 0.0003 0.0005 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0005 0.0003 0.0003 0.0004 0.0005 0.0007 0.0010 0.0002 0.0003 0.0005 0.0007 0.0010 0.0004 0.0006 -32 2 -31 -30 0.0010 0.0013 0.0009 0.0013 0.0009 0.0013 0.0009 0.0008 0.0012 0.0008 0.0011 0.0008 0.0011 0.0008 0.0011 0.0012 -29 ー2 -2.7 -2.6 -2.5 0.0019 0.0026 0.0035 0.0018 0.0025 0.0034 0.0018 0.0024 0.0033 0.0017 0.0023 0.0032 0.0016 0.0023 0.0031 0.0016 0.0022 0.0030 0.0015 0.0021 0.0029 0.0039 0.0052 0.0015 0.0021 0.0028 0.0038 0.0051 0.0014 0.0020 0.0027 0.0037 0.0049 0.0014 0.0019 0.0026 0.0036 0.0048 0.0047 0.0045 0.0060 0.0044 0.0059 0.0043 0.0057 0.0041 0.0055 0.0040 0.0054 0.0062 -24 -2.3 -2.2 -2.1 -20 0.0082 0.0107 0.0139 0.0179 0.0228 0.0080 0.0104 0.0136 0.0174 0.0222 0.0078 0.0102 0.0132 0.0170 0.0217 0.0075 0.0099 0.0073 0.0096 0.0125 0.0162 0.0207 0.0071 0.0094 0.0122 0.0158 0.0202 0.0069 0.0068 0.0089 0.0066 0.0087 0.0129 0.0166 0.0212 0.0091 0.0119 0.0154 0.0197 0.0064 0.0084 0.0110 0.0143 0.0183 0.0116 0.0113 0.0150 0.0192 0.0146 0.0188 -1.9 -1.8 -1.7 0.0250 0.0314 0.0392 0.0485 0.0594 0.0287 0.0281 0.0274 0.0344 0.0427 0.0268 0.0336 0.0418 0.0516 0.0630 0.0262 0.0256 0.0359 0.0446 0.0244 0.0307 0.0384 0.0239 0.0301 0.0375 0.0233 0.0294 0.0367 0.0351 0.0436 0.0537 0.0655 0.0329 0.0409 0.0322 0.0401 0.0495 0.0606 -1.6 -1.5 0.0548 0.0526 0.0643 0.0505 0.0618 0.0475 0.0465 0.0571 0.0455 0.0559 0.0668 0.0582 -14 -13 -1.2 0.0808 0.0968 0.1151 0.0793 0.0951 0.1131 0.0778 0.0934 0.1112 0.0764 0.0918 0.1093 0.0749 0.0901 0.1075 0.0735 0.0885 0.1056 0.0721 0.0869 0.1038 0.0708 0.0853 0.1020 0.0694 0.0838 0.1003 0.0681 0.0823 0.0985 -1.1 -10 0.1357 0.1587 0.1335 0.1562 0.1292 0.1515 0.1251 0.1469 0.1170 0.1379 0.1314 0.1271 0.1230 0.1210 0.1190 0.1539 0.1492 0.1446 0.1423 0.1401 0.1841 0.2119 0.2420 0.2743 0.3085 0.1814 0.2090 0.2389 0.2709 0.3050 0.1788 0.2061 0.2358 0.2676 0.3015 0.1762 0.1736 0.1711 0.1977 0.2266 0.2578 0.2912 0.1685 0.1949 0.2236 0.2546 0.2877 0.1660 0.1635 0.1894 0.2177 0.2483 0.2810 0.1611 0.1867 0.2148 0.2451 0.2776 -0,9 0.2033 0.2327 0.2643 0.2981 0.2005 0.2296 0.2611 0.2946 0.1922 0.2206 0.2514 0.2843 -0.7 -0.6 -0.5 -04 -03 -0.2 -0.1 -0.0 0.3446 0.3409 0.3783 0.4168 04562 0.4960 0.3372 0.3745 0.4129 0.4522 0.4920 0.3336 0.3707 0.4090 0.4483 0.4880 0.3300 0.3669 0.3264 0.3632 0.4013 0.4404 0.4801 0.3228 0.3594 0.3974 0.3192 0.3557 0.3936 0.3156 0.3121 0.3520 0.3897 0.4286 0.4681 0.3483 0.3859 0,4247 0.4641 0.3821 0.4207 0.4602 0.5000 0.4052 0.4443 0.4840 0.4364 0.4761 0.4325 0.4721 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
Standard Normal Distribution Table (page 2) Area Standard Normal Distribution 0.00 0.01 0.02 0.03 0.04 0.05 0,06 0.07 0.08 0.09 0.0 0.1 0.2 0.5000 0.5398 0.5793 0.6179 0.6554 0.5040 0.5438 0.5832 0.6217 0.6591 0.5080 0.5478 0.5871 0.5120 0,5517 0.5910 0.6293 0.6664 0.5160 0.5557 0.5948 0.5199 0.5596 0.5987 0.5239 0.5636 0.6026 0.5279 0.5675 0.6064 0.5319 0.5714 0.6103 0.5359 0.5753 0.6141 0.6517 0.6879 0.6255 0.6628 0.6331 0.6700 0.6368 0.6736 0.6406 0.6772 0.3 0.6443 0.6808 0.6480 0.4 0.6844 0.6915 0.7257 0.7580 0.7881 0.8159 0.6950 0.7291 0.7611 0.7910 0.8186 0.6985 0.7324 0.7642 0.7939 0.8212 0.7019 0,7357 0.7673 0.7967 0.8238 0.7054 0.7389 0.7704 0.7995 0.8264 0.7088 0.7422 0.7734 0.8023 0.8289 0.7123 0.7454 0.7764 0.8051 0.8315 0.7157 0.7486 0.7794 0.8078 0.8340 0.7190 0.7517 0.7823 0.8106 0.8365 0.7224 0.7549 0.7852 0.8133 0.8389 0.5 0,5 0.6 0.7 0.8 0.9 0.8413 0.8643 0.8531 0.8749 0.8944 0.9115 0.9265 0.8554 0.8770 0.8962 0.9131 0.9279 0.8621 0.8830 0.90 15 1.0 0.8438 0.8665 0.8869 0.9049 1.1 1.2 1.3 1.4 0.8461 0.8686 0.8485 0.8708 0.8907 0.8508 0.8729 0.8925 0.8577 0.8790 0.8599 0.8810 0.8997 0.9162 0.9306 0.8849 0.8888 0.8980 0,9032 0.9192 0,9066 0.9222 0.9082 0.9236 0.9099 0.9251 0.9147 0.9292 0.9177 0.9319 0.9207 1.5 1.6 1.7 1.8 1.9 0.9332 0.9452 0.9554 0.9641 0.9713 0.9345 0.9463 0.9564 0.9649 0.9719 0.9357 0.9474 0.9573 0.9656 0.9726 0.9370 0,9484 0.9582 0.9382 0.9495 0.9591 0.9394 0.9505 0.9599 0.9406 0.9515 0.9608 0.9686 0.9750 0.9418 0.9525 0.9616 0.9693 0.9756 0.9429 0,9535 0.9625 0.9441 0,9545 0.9633 0.9706 0.9767 0.9664 0.9732 0.9671 0.9738 0.9678 0.9744 0.9699 0.9761 2.0 2.1 2.2 0.9772 0.9821 0.9861 0.9778 0.9826 0.9864 0.9783 0.9830 0.9868 0.9788 0.9834 0.9871 0.9901 0.9925 0.9793 0.9838 0.9875 0.9798 0.9842 0.9878 0.9906 0.9929 0.9803 0.9846 0.9881 0.9808 0.9850 0.9884 0.9812 0.9854 0.9887 0.9913 0.9817 0.9857 0.9890 0.9916 0.9936 2.3 0.9893 0.9918 0.9896 0.9898 0.9904 0.9909 0.9911 0.9932 2.4 0.9920 0.9922 0.9927 0.9931 0.9934 0.9938 0.9953 0.9965 0.9974 0.9981 0.9941 0.9956 0.9967 0.9976 0.9982 0.9943 0.9957 0.9968 0.9977 0.9983 0.9948 0.9961 0.9971 0.9949 0.9962 0.9972 0.9979 0.9985 2.5 0.9945 0.9959 0.9969 0.9977 0.9984 0.9946 0.9960 0.9970 0.9978 0.9984 0.9951 0.9963 0.9973 0,9980 0.9986 0.9952 2.6 2.7 2.8 2.9 0.9940 0.9955 0.9966 0.9975 0.9982 0.9964 0.9974 0.9981 0,9986 0.9979 0.9985 3.0 3.1 3.2 0.9987 0.9991 0.9994 0.9988 0.9992 0.9994 0.9996 0.9997 0.9989 0.9992 0.9994 0.9996 0.9997 0.9989 0.9992 0.9995 0.9990 0.9993 0.9995 0.9996 0.9997 0.9987 0.9987 0.9991 0.9993 0.9995 0.9997 0.9988 0.9991 0.9994 0.9996 0.9997 0.9989 0.9992 0.9994 0.9996 0.9997 0.9990 0.9993 0.9995 0.9997 0.9998 0.9990 0.9993 0.9995 0.9997 0.9995 3.3 3.4 0.9996 0.9997 0.9997 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0,07 0.08 0.09 Print Done
Transcribed Image Text:Standard Normal Distribution Table (page 2) Area Standard Normal Distribution 0.00 0.01 0.02 0.03 0.04 0.05 0,06 0.07 0.08 0.09 0.0 0.1 0.2 0.5000 0.5398 0.5793 0.6179 0.6554 0.5040 0.5438 0.5832 0.6217 0.6591 0.5080 0.5478 0.5871 0.5120 0,5517 0.5910 0.6293 0.6664 0.5160 0.5557 0.5948 0.5199 0.5596 0.5987 0.5239 0.5636 0.6026 0.5279 0.5675 0.6064 0.5319 0.5714 0.6103 0.5359 0.5753 0.6141 0.6517 0.6879 0.6255 0.6628 0.6331 0.6700 0.6368 0.6736 0.6406 0.6772 0.3 0.6443 0.6808 0.6480 0.4 0.6844 0.6915 0.7257 0.7580 0.7881 0.8159 0.6950 0.7291 0.7611 0.7910 0.8186 0.6985 0.7324 0.7642 0.7939 0.8212 0.7019 0,7357 0.7673 0.7967 0.8238 0.7054 0.7389 0.7704 0.7995 0.8264 0.7088 0.7422 0.7734 0.8023 0.8289 0.7123 0.7454 0.7764 0.8051 0.8315 0.7157 0.7486 0.7794 0.8078 0.8340 0.7190 0.7517 0.7823 0.8106 0.8365 0.7224 0.7549 0.7852 0.8133 0.8389 0.5 0,5 0.6 0.7 0.8 0.9 0.8413 0.8643 0.8531 0.8749 0.8944 0.9115 0.9265 0.8554 0.8770 0.8962 0.9131 0.9279 0.8621 0.8830 0.90 15 1.0 0.8438 0.8665 0.8869 0.9049 1.1 1.2 1.3 1.4 0.8461 0.8686 0.8485 0.8708 0.8907 0.8508 0.8729 0.8925 0.8577 0.8790 0.8599 0.8810 0.8997 0.9162 0.9306 0.8849 0.8888 0.8980 0,9032 0.9192 0,9066 0.9222 0.9082 0.9236 0.9099 0.9251 0.9147 0.9292 0.9177 0.9319 0.9207 1.5 1.6 1.7 1.8 1.9 0.9332 0.9452 0.9554 0.9641 0.9713 0.9345 0.9463 0.9564 0.9649 0.9719 0.9357 0.9474 0.9573 0.9656 0.9726 0.9370 0,9484 0.9582 0.9382 0.9495 0.9591 0.9394 0.9505 0.9599 0.9406 0.9515 0.9608 0.9686 0.9750 0.9418 0.9525 0.9616 0.9693 0.9756 0.9429 0,9535 0.9625 0.9441 0,9545 0.9633 0.9706 0.9767 0.9664 0.9732 0.9671 0.9738 0.9678 0.9744 0.9699 0.9761 2.0 2.1 2.2 0.9772 0.9821 0.9861 0.9778 0.9826 0.9864 0.9783 0.9830 0.9868 0.9788 0.9834 0.9871 0.9901 0.9925 0.9793 0.9838 0.9875 0.9798 0.9842 0.9878 0.9906 0.9929 0.9803 0.9846 0.9881 0.9808 0.9850 0.9884 0.9812 0.9854 0.9887 0.9913 0.9817 0.9857 0.9890 0.9916 0.9936 2.3 0.9893 0.9918 0.9896 0.9898 0.9904 0.9909 0.9911 0.9932 2.4 0.9920 0.9922 0.9927 0.9931 0.9934 0.9938 0.9953 0.9965 0.9974 0.9981 0.9941 0.9956 0.9967 0.9976 0.9982 0.9943 0.9957 0.9968 0.9977 0.9983 0.9948 0.9961 0.9971 0.9949 0.9962 0.9972 0.9979 0.9985 2.5 0.9945 0.9959 0.9969 0.9977 0.9984 0.9946 0.9960 0.9970 0.9978 0.9984 0.9951 0.9963 0.9973 0,9980 0.9986 0.9952 2.6 2.7 2.8 2.9 0.9940 0.9955 0.9966 0.9975 0.9982 0.9964 0.9974 0.9981 0,9986 0.9979 0.9985 3.0 3.1 3.2 0.9987 0.9991 0.9994 0.9988 0.9992 0.9994 0.9996 0.9997 0.9989 0.9992 0.9994 0.9996 0.9997 0.9989 0.9992 0.9995 0.9990 0.9993 0.9995 0.9996 0.9997 0.9987 0.9987 0.9991 0.9993 0.9995 0.9997 0.9988 0.9991 0.9994 0.9996 0.9997 0.9989 0.9992 0.9994 0.9996 0.9997 0.9990 0.9993 0.9995 0.9997 0.9998 0.9990 0.9993 0.9995 0.9997 0.9995 3.3 3.4 0.9996 0.9997 0.9997 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0,07 0.08 0.09 Print Done
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