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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 0.3085 . (Round to four decimal places as needed.) (b) What is the probability that a random sample of 6 time intervals between eruptions has a mean longer than 89 minutes? The probability that the mean of a random sample of 6 time intervals is more 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 0.3085 . (Round to four decimal places as needed.) (b) What is the probability that a random sample of 6 time intervals between eruptions has a mean longer than 89 minutes? The probability that the mean of a random sample of 6 time intervals is more 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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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 0.5040 0.5438 0.5832 0.6217 0.6591 0.5080 0.5478 0.5871 0,6255 0.6628 0.5120 0.5517 0.5910 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 0,6480 0.6844 0,5359 0.5753 0.6141 0.3 0.6179 0.6293 0.6664 0.6331 0.6700 0.6368 0.6406 0.6443 0.6808 0,6517 0.4 0.6554 0.6736 0.6772 0.6879 0.6915 0.7257 0.7580 0.7881 0.8159 0.6950 0.7291 0.7611 0.7910 0.8186 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 0.6985 0.7324 0.7642 0.7939 0.8212 0.6 0.7 0.8 0.9 0.8413 0.8643 0.8849 0.9032 0.9192 0.8508 0.8729 0.8925 0.9099 0.9251 0.8599 0.8810 0.8997 0.8438 0.8665 0.8461 0.8485 0.8708 0.8907 0.9082 0.9236 0.8531 0.8749 0.8944 0.9115 0.9265 0.8554 0.8770 0.8962 0.9131 0.9279 0.8577 0.8790 1.0 1.1 1.2 0.8621 0.8830 0.90 15 0.9177 0.9319 0,8686 0.8888 0.8869 0.8980 1.3 0.9049 0.9207 0.9066 0,9222 0.9147 0.9292 0.9162 0.9306 1.4 1.5 1.6 1.7 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 0.9664 0.9732 0.9382 0.9495 0.9591 0.9671 0.9738 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 1.8 1.9 0.9678 0.9744 0.9706 0.9767 0.9699 0.9761 2.0 2.1 2.2 0.9772 0.9821 0.9861 0.9893 0.9918 0.9778 0.9826 0.9864 0.9896 0.9920 0.9793 0.9838 0.9875 0.9798 0.9842 0.9878 0.9803 0.9846 0.9881 0.9812 0.9854 0.9887 0.9913 0.9934 0.9783 0,9830 0.9868 0.9898 0.9922 0.9788 0.9834 0.9871 0.9901 0.9925 0.9808 0.9850 0.9884 0.9911 0.9932 0.9817 0.9857 0.9890 2.3 2.4 0.9904 0.9927 0.9906 0.9909 0.9916 0.9929 0.9931 0.9936 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 0.9945 0.9959 0.9948 0.9961 0.9971 0.9979 0.9985 0.9949 0.9962 0.9972 0.9951 0.9963 0.9973 0.9980 0.9986 2.5 2.6 2.7 2.8 2.9 0.9940 0.9955 0.9966 0.9969 0.9977 0.9984 0.9946 0.9960 0.9970 0.9978 0.9984 0.9952 0.9964 0.9974 0.9975 0.9982 0.9979 0.9985 0.9981 0.9986 3.0 3.1 3.2 0.9987 0.9990 0.9993 0.9995 0.9987 0.9991 0.9993 0.9995 0,9987 0.9991 0.9994 0.9995 0.9997 0.9988 0.9991 0.9994 0.9996 0.9988 0.9992 0.9994 0.9996 0.9989 0.9992 0.9994 0.9989 0.9992 0.9994 0,9996 0.9997 0.9989 0.9992 0.9995 0.9996 0.9990 0.9993 0.9995 0,9996 0,9997 0.9990 0.9993 0.9995 0.9997 3.3 3.4 0.9996 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 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 0.5040 0.5438 0.5832 0.6217 0.6591 0.5080 0.5478 0.5871 0,6255 0.6628 0.5120 0.5517 0.5910 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 0,6480 0.6844 0,5359 0.5753 0.6141 0.3 0.6179 0.6293 0.6664 0.6331 0.6700 0.6368 0.6406 0.6443 0.6808 0,6517 0.4 0.6554 0.6736 0.6772 0.6879 0.6915 0.7257 0.7580 0.7881 0.8159 0.6950 0.7291 0.7611 0.7910 0.8186 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 0.6985 0.7324 0.7642 0.7939 0.8212 0.6 0.7 0.8 0.9 0.8413 0.8643 0.8849 0.9032 0.9192 0.8508 0.8729 0.8925 0.9099 0.9251 0.8599 0.8810 0.8997 0.8438 0.8665 0.8461 0.8485 0.8708 0.8907 0.9082 0.9236 0.8531 0.8749 0.8944 0.9115 0.9265 0.8554 0.8770 0.8962 0.9131 0.9279 0.8577 0.8790 1.0 1.1 1.2 0.8621 0.8830 0.90 15 0.9177 0.9319 0,8686 0.8888 0.8869 0.8980 1.3 0.9049 0.9207 0.9066 0,9222 0.9147 0.9292 0.9162 0.9306 1.4 1.5 1.6 1.7 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 0.9664 0.9732 0.9382 0.9495 0.9591 0.9671 0.9738 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 1.8 1.9 0.9678 0.9744 0.9706 0.9767 0.9699 0.9761 2.0 2.1 2.2 0.9772 0.9821 0.9861 0.9893 0.9918 0.9778 0.9826 0.9864 0.9896 0.9920 0.9793 0.9838 0.9875 0.9798 0.9842 0.9878 0.9803 0.9846 0.9881 0.9812 0.9854 0.9887 0.9913 0.9934 0.9783 0,9830 0.9868 0.9898 0.9922 0.9788 0.9834 0.9871 0.9901 0.9925 0.9808 0.9850 0.9884 0.9911 0.9932 0.9817 0.9857 0.9890 2.3 2.4 0.9904 0.9927 0.9906 0.9909 0.9916 0.9929 0.9931 0.9936 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 0.9945 0.9959 0.9948 0.9961 0.9971 0.9979 0.9985 0.9949 0.9962 0.9972 0.9951 0.9963 0.9973 0.9980 0.9986 2.5 2.6 2.7 2.8 2.9 0.9940 0.9955 0.9966 0.9969 0.9977 0.9984 0.9946 0.9960 0.9970 0.9978 0.9984 0.9952 0.9964 0.9974 0.9975 0.9982 0.9979 0.9985 0.9981 0.9986 3.0 3.1 3.2 0.9987 0.9990 0.9993 0.9995 0.9987 0.9991 0.9993 0.9995 0,9987 0.9991 0.9994 0.9995 0.9997 0.9988 0.9991 0.9994 0.9996 0.9988 0.9992 0.9994 0.9996 0.9989 0.9992 0.9994 0.9989 0.9992 0.9994 0,9996 0.9997 0.9989 0.9992 0.9995 0.9996 0.9990 0.9993 0.9995 0,9996 0,9997 0.9990 0.9993 0.9995 0.9997 3.3 3.4 0.9996 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 0,00 0.01 0.02 0.03 0.04 0.05 0.06 0,07 0.08 0.09 Print Done
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 0.3085 . (Round to four decimal places as needed.) (b) What is the probability that a random sample of 6 time intervals between eruptions has a mean longer than 89 minutes? The probability that the mean of a random sample of 6 time intervals is more than 89 minutes is approximately . (Round to four decimal places as needed.) Standard Normal Distribution Table (page 1) Area Standard Normal Distribution 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0,07 0.08 0.09 0.0003 0.0005 0.0003 0.0005 0.0006 0.0003 0.0004 0.0003 0.0004 0.0005 0.0007 0.0010 0.0002 0.0003 -34 ー13 -3.2 -31 -30 0.0003 0.0005 0.0007 0.0003 0.0004 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0005 0.0007 0.0009 0.0013 0.0006 0.0006 0.0010 0.0013 0.0009 0.0013 0.0008 0.0012 0.0008 0.0011 0.0005 0.0007 0.0010 0.0009 0.0008 0.0011 0.0008 0.0011 0.0012 -29 ー28 -2.7 0.0019 0.0026 0.0035 0.0047 0.0062 0.0018 0.0025 0.0034 0.0045 0.0060 0.0018 0.0024 0.0033 0.0044 0.0059 0.0017 0.0023 0.0032 0.0043 0.0057 0.0016 0.0023 0.0031 0.0041 0.0055 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 -26 0.0040 0.0036 0.0048 -2.5 0.0054 -24 -2.3 -2.2 0.0082 0.0107 0.0139 0.0179 0.0228 0.0075 0.0099 0.0073 0.0096 0.0071 0.0094 0.0080 0.0104 0.0078 0.0069 0.0068 0.0089 0.0066 0.0087 0.0064 0.0084 0.0102 0.0132 0.0170 0.0217 0.0091 0.0119 0.0154 0.0197 0.0136 0.0129 0.0166 0.0212 0.0125 0.0162 0.0207 0.0122 0.0158 0.0202 0.0116 0.0150 0.0192 0.0113 -2.1 -2.0 0.0174 0.0222 0.0146 0.0188 0.0110 0.0143 0.0183 0.0262 0.0329 0.0409 0.0239 0.0301 0.0375 0.0465 0.0571 0.0233 0.0294 0.0367 0.0455 0.0559 -1.9 0.0287 0.0359 0.0446 0.0281 0.0351 0.0436 0.0274 0.0344 0.0427 0.0526 0.0643 0.0268 0.0336 0.0418 0.0256 0.0322 0.0401 0.0250 0.0314 0.0392 0.0244 0.0307 0.0384 0.0475 0.0582 -1.8 -1.7 0.0548 0.0668 0.0505 0.0618 00749 0.0495 0.0606 -1.6 0.0537 0.0516 0.0485 -1.5 0.0655 0.0630 0.0594 -14 -1.3 0.0793 0.0951 0.0735 0.0885 0.0708 0.0853 0.0808 0.0968 0.1151 0.1357 0.1587 0.0778 0.0934 0.1112 0.0764 0.0918 0.0721 0.0869 0.0694 0.0838 0.1003 0.0681 0.0823 0.0985 0.0901 0.1075 0.1271 0.1492 -1.2 -1.1 -10 0.1131 0.1335 0.1562 0.1314 0.1539 0.1093 0.1292 0.1515 0.1056 0.1251 0.1469 0.1038 0.1230 0.1446 0.1020 0.1210 0.1423 0.1190 0.1401 0.1170 0.1379 -0,9 0.1841 0.2119 0.2420 02743 0.3085 0.1814 0.2090 0.2389 0.2709 0.3050 0.1788 0.1762 0.2033 0.2327 0.1736 0.2005 0.2296 0.2611 0.2946 0.1711 0.1977 0.2266 0.2578 0.2912 0.1685 0.1949 0.2236 0.1660 0.2061 0.2358 0.2676 0.3015 0.1635 0.1894 0.2177 0.1611 0.1867 02148 0.2451 02776 0.1922 02206 一#,7 0.2643 0.2981 02514 02843 0.2483 0.2810 -06 0.2546 -0.5 0.2877 0.3446 0.3821 0.3409 0.3783 0.4168 0.3372 0.3745 0.4129 0.4522 0.4920 03336 0.3707 0.4090 0.3300 0.3669 0.4052 0.3228 0.3594 0.3974 0.3264 0.3632 0.3192 0.3557 0.3936 03156 0.3520 0.3897 0.3121 0.3483 0.3859 -04 -03 -0.2 0.4207 0.4602 0.5000 04562 0.4960 0.4013 0.4404 0.4801 0.4325 0.4721 -0.1 0.4483 0.4880 0.4443 0.4840 0.4364 0.4761 0.4286 0.4681 0.4247 0.4641 -0.0 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 0.3085 . (Round to four decimal places as needed.) (b) What is the probability that a random sample of 6 time intervals between eruptions has a mean longer than 89 minutes? The probability that the mean of a random sample of 6 time intervals is more than 89 minutes is approximately . (Round to four decimal places as needed.) Standard Normal Distribution Table (page 1) Area Standard Normal Distribution 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0,07 0.08 0.09 0.0003 0.0005 0.0003 0.0005 0.0006 0.0003 0.0004 0.0003 0.0004 0.0005 0.0007 0.0010 0.0002 0.0003 -34 ー13 -3.2 -31 -30 0.0003 0.0005 0.0007 0.0003 0.0004 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0005 0.0007 0.0009 0.0013 0.0006 0.0006 0.0010 0.0013 0.0009 0.0013 0.0008 0.0012 0.0008 0.0011 0.0005 0.0007 0.0010 0.0009 0.0008 0.0011 0.0008 0.0011 0.0012 -29 ー28 -2.7 0.0019 0.0026 0.0035 0.0047 0.0062 0.0018 0.0025 0.0034 0.0045 0.0060 0.0018 0.0024 0.0033 0.0044 0.0059 0.0017 0.0023 0.0032 0.0043 0.0057 0.0016 0.0023 0.0031 0.0041 0.0055 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 -26 0.0040 0.0036 0.0048 -2.5 0.0054 -24 -2.3 -2.2 0.0082 0.0107 0.0139 0.0179 0.0228 0.0075 0.0099 0.0073 0.0096 0.0071 0.0094 0.0080 0.0104 0.0078 0.0069 0.0068 0.0089 0.0066 0.0087 0.0064 0.0084 0.0102 0.0132 0.0170 0.0217 0.0091 0.0119 0.0154 0.0197 0.0136 0.0129 0.0166 0.0212 0.0125 0.0162 0.0207 0.0122 0.0158 0.0202 0.0116 0.0150 0.0192 0.0113 -2.1 -2.0 0.0174 0.0222 0.0146 0.0188 0.0110 0.0143 0.0183 0.0262 0.0329 0.0409 0.0239 0.0301 0.0375 0.0465 0.0571 0.0233 0.0294 0.0367 0.0455 0.0559 -1.9 0.0287 0.0359 0.0446 0.0281 0.0351 0.0436 0.0274 0.0344 0.0427 0.0526 0.0643 0.0268 0.0336 0.0418 0.0256 0.0322 0.0401 0.0250 0.0314 0.0392 0.0244 0.0307 0.0384 0.0475 0.0582 -1.8 -1.7 0.0548 0.0668 0.0505 0.0618 00749 0.0495 0.0606 -1.6 0.0537 0.0516 0.0485 -1.5 0.0655 0.0630 0.0594 -14 -1.3 0.0793 0.0951 0.0735 0.0885 0.0708 0.0853 0.0808 0.0968 0.1151 0.1357 0.1587 0.0778 0.0934 0.1112 0.0764 0.0918 0.0721 0.0869 0.0694 0.0838 0.1003 0.0681 0.0823 0.0985 0.0901 0.1075 0.1271 0.1492 -1.2 -1.1 -10 0.1131 0.1335 0.1562 0.1314 0.1539 0.1093 0.1292 0.1515 0.1056 0.1251 0.1469 0.1038 0.1230 0.1446 0.1020 0.1210 0.1423 0.1190 0.1401 0.1170 0.1379 -0,9 0.1841 0.2119 0.2420 02743 0.3085 0.1814 0.2090 0.2389 0.2709 0.3050 0.1788 0.1762 0.2033 0.2327 0.1736 0.2005 0.2296 0.2611 0.2946 0.1711 0.1977 0.2266 0.2578 0.2912 0.1685 0.1949 0.2236 0.1660 0.2061 0.2358 0.2676 0.3015 0.1635 0.1894 0.2177 0.1611 0.1867 02148 0.2451 02776 0.1922 02206 一#,7 0.2643 0.2981 02514 02843 0.2483 0.2810 -06 0.2546 -0.5 0.2877 0.3446 0.3821 0.3409 0.3783 0.4168 0.3372 0.3745 0.4129 0.4522 0.4920 03336 0.3707 0.4090 0.3300 0.3669 0.4052 0.3228 0.3594 0.3974 0.3264 0.3632 0.3192 0.3557 0.3936 03156 0.3520 0.3897 0.3121 0.3483 0.3859 -04 -03 -0.2 0.4207 0.4602 0.5000 04562 0.4960 0.4013 0.4404 0.4801 0.4325 0.4721 -0.1 0.4483 0.4880 0.4443 0.4840 0.4364 0.4761 0.4286 0.4681 0.4247 0.4641 -0.0 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0,08 0.09
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