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The weight of people in a small town in Missouri is known to be normally distributed with a mean of 176 pounds and a standard deviation of 29 pounds. On a raft that takes people across the river, a sign states, “Maximum capacity 3,383 pounds or 17 persons.” What is the probability that a random sample of 17 persons will exceed the weight limit of 3,383 pounds? (You may find it useful to reference the z table. Do not round intermediate calculations. Round final answer to 2 decimal places.) answer is not 0.005 or 0.1 probability=

The weight of people in a small town in Missouri is known to be normally distributed with a mean of 176 pounds and a standard deviation of 29 pounds. On a raft that takes people across the river, a sign states, “Maximum capacity 3,383 pounds or 17 persons.” What is the probability that a random sample of 17 persons will exceed the weight limit of 3,383 pounds? (You may find it useful to reference the z table. Do not round intermediate calculations. Round final answer to 2 decimal places.) answer is not 0.005 or 0.1 probability=

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The weight of people in a small town in Missouri is known to be normally distributed with a mean of 176 pounds and a standard deviation of 29 pounds. On a raft that takes people across the river, a sign states, “Maximum capacity 3,383 pounds or 17 persons.” What is the probability that a random sample of 17 persons will exceed the weight limit of 3,383 pounds? (You may find it useful to reference the z table. Do not round intermediate calculations. Round final answer to 2 decimal places.)

answer is not 0.005 or 0.1

probability= 

TABLE 1 Standard Normal Curve Areas Entries in this table provide cumulative probabilities, that is, the area under the curve to the left of -z. For example, P(Z<-1.52) = 0.0643. P(Z<-z) -z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -3.9 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 -3.8 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 -3.7 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 -3.6 0.0002 0.0002 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0002 0.0003 -3.5 0.0002 0.0002 0.0002 0.0002 0.0003 0.0002 0.0002 0.0002 0.0002 0.0002 0.0003 0.0004 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 -3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 0.0005 0.0008 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 -3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0007 0.0007 -3.0 0.0013 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 0.0015 0.0015 0.0014 0.0014 0.0019 0.0026 -2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 -2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 0.0055 0.0073 0.0096 -2.5 0.0062 0.0060 0.0059 0.0057 0.0054 0.0052 0.0051 0.0049 0.0048 -2.4 0.0082 0.0080 0.0078 0.0075 0.0071 0.0069 0.0068 0.0066 0.0064 -2.3 0.0107 0.0104 0.0102 0.0099 0.0094 0.0091 0.0089 0.0087 0.0084 0.0132 0.0170 -2.2 0.0139 0.0136 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 -2.1 0.0179 0.0174 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 -2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 -1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 -1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 -1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 0.0475 0.0582 -1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0465 0.0455 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0571 0.0559 -1.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 0.0968 0.1151 -1.3 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 -1.2 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 0.1271 0.1492 -1.1 0.1357 0.1335 0.1314 0.1292 0.1251 0.1230 0.1210 0.1190 0.1170 -1.0 0.1587 0.1562 0.1539 0.1515 0.1469 0.1446 0.1423 0.1401 0.1379 0.1736 0.2005 0.1660 0.1922 0.2206 -0.9 0.1841 0.1814 0.1788 0.1762 0.1711 0.1685 0.1635 0.1611 0.2090 0.2033 0.2327 -0.8 0.2119 0.2061 0.1977 0.1949 0.1894 0.1867 -0.7 0.2420 0.2389 0.2358 0.2296 0.2266 0.2236 0.2177 0.2148 0.2643 0.2611 0.2946 0.2546 0.2483 0.2810 -0.6 0.2743 0.2709 0.2676 0.2578 0.2514 0.2451 -0.5 0.3085 0.3050 0.3015 0.2981 0.2912 0.2877 0.2843 0.2776 -0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 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 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859 -0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247 -0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641 0.5239 0.5636 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5279 0.5319 0.5359 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5675 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 0.6443 0.6480 0.6517 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.6915 0.6950 0.7291 0.6985 0.7054 0.7224 0.7549 0.5 0.7019 0.7088 0.7123 0.7157 0.7190 0.6 0.7257 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.7881 0.7939 0.7995 0.8264 0.8051 0.8315 0.8 0.7910 0.7967 0.8023 0.8078 0.8106 0.8133 0.8186 0.8438 0.8340 0.8577 0.9 0.8159 0.8212 0.8238 0.8289 0.8365 0.8389 1.0 0.8413 0.8461 0.8485 0.8508 0.8531 0.8554 0.8599 0.8621 0.8729 0.8925 0.8770 0.8962 0.8810 0.8997 1.1 0.8643 0.8665 0.8686 0.8708 0.8749 0.8790 0.8830 1.2 0.8849 0.8869 0.8888 0.8907 0.8944 0.8980 0.9015 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 0.9406 0.9515 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9418 0.9429 0.9441 1.6 0.9452 0,9463 0,9474 0.9484 0.9495 0.9505 0.9525 0.9535 0.9545 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.8 0.9641 0,9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 0.9744 0.9798 0.9719 0.9726 0.9750 0.9756 0.9808 1.9 0.9713 0.9732 0.9738 0.9761 0.9767 2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9803 0,9812 0.9817 2.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 2.3 0.9893 0,9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 0.9918 0.9938 0.9925 0.9927 0.9945 2.4 0.9920 0.9922 0.9929 0.9931 0.9932 0.9934 0.9936 2.5 0.9940 0.9941 0.9943 0.9946 0.9948 0.9949 0.9951 0.9952 2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0,9964 2.7 0.9965 0.9966 0,9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 0.9974 0.9981 2.8 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 2.9 0.9982 0.9982 0,9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 3.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0,9989 0.9989 0.9990 0.9990 0.9990 0.9993 3.1 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0,9992 0.9993 0.9993 3.2 0.9993 0.9994 0,9994 0.9994 0.9994 0,9994 0.9995 0.9995 0.9995 3.3 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 0.9998 0.9999 3.5 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 3.6 0.9998 0.9998 0,9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 3.7 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 1.0000 3.8 0.9999 0.9999 0.9999 0.9999 0,9999 0.9999 0.9999 0.9999 0.9999 3.9 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000
Transcribed Image Text:TABLE 1 Standard Normal Curve Areas Entries in this table provide cumulative probabilities, that is, the area under the curve to the left of -z. For example, P(Z<-1.52) = 0.0643. P(Z<-z) -z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -3.9 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 -3.8 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 -3.7 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 -3.6 0.0002 0.0002 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0002 0.0003 -3.5 0.0002 0.0002 0.0002 0.0002 0.0003 0.0002 0.0002 0.0002 0.0002 0.0002 0.0003 0.0004 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 -3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 0.0005 0.0008 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 -3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0007 0.0007 -3.0 0.0013 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 0.0015 0.0015 0.0014 0.0014 0.0019 0.0026 -2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 -2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 0.0055 0.0073 0.0096 -2.5 0.0062 0.0060 0.0059 0.0057 0.0054 0.0052 0.0051 0.0049 0.0048 -2.4 0.0082 0.0080 0.0078 0.0075 0.0071 0.0069 0.0068 0.0066 0.0064 -2.3 0.0107 0.0104 0.0102 0.0099 0.0094 0.0091 0.0089 0.0087 0.0084 0.0132 0.0170 -2.2 0.0139 0.0136 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 -2.1 0.0179 0.0174 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 -2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 -1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 -1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 -1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 0.0475 0.0582 -1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0465 0.0455 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0571 0.0559 -1.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 0.0968 0.1151 -1.3 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 -1.2 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 0.1271 0.1492 -1.1 0.1357 0.1335 0.1314 0.1292 0.1251 0.1230 0.1210 0.1190 0.1170 -1.0 0.1587 0.1562 0.1539 0.1515 0.1469 0.1446 0.1423 0.1401 0.1379 0.1736 0.2005 0.1660 0.1922 0.2206 -0.9 0.1841 0.1814 0.1788 0.1762 0.1711 0.1685 0.1635 0.1611 0.2090 0.2033 0.2327 -0.8 0.2119 0.2061 0.1977 0.1949 0.1894 0.1867 -0.7 0.2420 0.2389 0.2358 0.2296 0.2266 0.2236 0.2177 0.2148 0.2643 0.2611 0.2946 0.2546 0.2483 0.2810 -0.6 0.2743 0.2709 0.2676 0.2578 0.2514 0.2451 -0.5 0.3085 0.3050 0.3015 0.2981 0.2912 0.2877 0.2843 0.2776 -0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 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 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859 -0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247 -0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641 0.5239 0.5636 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5279 0.5319 0.5359 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5675 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 0.6443 0.6480 0.6517 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.6915 0.6950 0.7291 0.6985 0.7054 0.7224 0.7549 0.5 0.7019 0.7088 0.7123 0.7157 0.7190 0.6 0.7257 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.7881 0.7939 0.7995 0.8264 0.8051 0.8315 0.8 0.7910 0.7967 0.8023 0.8078 0.8106 0.8133 0.8186 0.8438 0.8340 0.8577 0.9 0.8159 0.8212 0.8238 0.8289 0.8365 0.8389 1.0 0.8413 0.8461 0.8485 0.8508 0.8531 0.8554 0.8599 0.8621 0.8729 0.8925 0.8770 0.8962 0.8810 0.8997 1.1 0.8643 0.8665 0.8686 0.8708 0.8749 0.8790 0.8830 1.2 0.8849 0.8869 0.8888 0.8907 0.8944 0.8980 0.9015 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 0.9406 0.9515 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9418 0.9429 0.9441 1.6 0.9452 0,9463 0,9474 0.9484 0.9495 0.9505 0.9525 0.9535 0.9545 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.8 0.9641 0,9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 0.9744 0.9798 0.9719 0.9726 0.9750 0.9756 0.9808 1.9 0.9713 0.9732 0.9738 0.9761 0.9767 2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9803 0,9812 0.9817 2.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 2.3 0.9893 0,9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 0.9918 0.9938 0.9925 0.9927 0.9945 2.4 0.9920 0.9922 0.9929 0.9931 0.9932 0.9934 0.9936 2.5 0.9940 0.9941 0.9943 0.9946 0.9948 0.9949 0.9951 0.9952 2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0,9964 2.7 0.9965 0.9966 0,9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 0.9974 0.9981 2.8 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 2.9 0.9982 0.9982 0,9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 3.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0,9989 0.9989 0.9990 0.9990 0.9990 0.9993 3.1 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0,9992 0.9993 0.9993 3.2 0.9993 0.9994 0,9994 0.9994 0.9994 0,9994 0.9995 0.9995 0.9995 3.3 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 0.9998 0.9999 3.5 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 3.6 0.9998 0.9998 0,9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 3.7 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 1.0000 3.8 0.9999 0.9999 0.9999 0.9999 0,9999 0.9999 0.9999 0.9999 0.9999 3.9 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000
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