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A coin is tossed 576 times. Use the normal curve approximation to find the probability of obtaining (a) between 269 and 301 heads inclusive; (b) exactly 292 heads; (c) fewer than 261 or more than 321 heads. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) The probability is (Round to four decimal places as needed.) (b) The probability is (Round to four decimal places as needed.) (c) The probability is ☐. (Round to four decimal places as needed.)

A coin is tossed 576 times. Use the normal curve approximation to find the probability of obtaining (a) between 269 and 301 heads inclusive; (b) exactly 292 heads; (c) fewer than 261 or more than 321 heads. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) The probability is (Round to four decimal places as needed.) (b) The probability is (Round to four decimal places as needed.) (c) The probability is ☐. (Round to four decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
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Areas under the Normal Curve Areas under the Normal Curve = .00 .01 .02 -3.4 0.0003 0.0003 0.0003 -3.3 0.0005 0.0005 0.0005 -3.2 0.0007 0.0007 0.0006 -3.1 0.0010 0.0009 0.0009 -3.0 0.0013 0.0013 0.0013 .03 0.0003 0.0004 .04 0.0003 0.0003 .05 0.0006 0.0009 0.0012 -1.8 0.0359 0.0351 田 ୧. -0.0 ¡A .00 .01 0.4404 0.4920 0.4880 0.4840 0.4801 .02 .03 .04 .05 0.0006 0.0005 0.0008 0.0008 0.0011 0.0011 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 -2.9 -2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 -2.8 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026 -2.7 -2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 -2.6 -2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 -2.5 -2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 -2.4 -2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 -2.3 -2.2 0.0139 0.0136 0.0132 0.0129 0.0125 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0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611 -0.9 -0.8 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 -0.8 -0.7 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 -0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 -0.5 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 -0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121 -0.4 -0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 -0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 -0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4364 0.4325 0.4286 0.5000 0.4960 0.0004 0.0004 0.0006 0.0006 0.0008 0.0008 0.0012 0.0011 .06 .07 0.0003 0.0003 0.0004 0.0004 .08 .09 0.0003 0.0002 Z .01 .02 .03 -3.4 0.0 0.0004 0.0003 -3.3 0.0005 0.0005 -3.2 0.0007 0.0007 -3.1 0.0010 0.0010 -3.0 0.1 0.2 0.3 0.4 0.5 .00 0.5000 0.5040 0.5080 0.5120 0.5398 0.5438 0.5478 0.5517 0.5793 0.5832 0.5871 0.5910 0.6179 0.6217 0.6255 0.6293 0.6554 0.6591 0.6628 0.6664 0.6915 0.6950 0.6985 0.7019 0.7157 0.7190 0.7224 0.5 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.6 .04 .05 .06 0.5160 0.5199 0.5239 0.5557 0.5596 0.5636 0.5948 0.5987 0.6026 0.6331 0.6368 0.6406 0.6700 0.6736 0.6772 0.7054 0.7088 0.7123 .07 .08 .09 2 0.5279 0.5319 0.5359 0.0 0.5675 0.5714 0.5753 0.1 0.6064 0.6103 0.6141 0.2 0.6443 0.6480 0.6517 0.3 0.6808 0.6844 0.6879 0.4 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.7 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.8 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 0.9 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 1.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.5 1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9515 0.9525 0.9535 0.9545 1.6 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.7 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 1.8 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 2.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0,9906 0,9909 2.4 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.8531 0.8554 0.8577 0.8599 0.8621 1.0 0.8790 0.8810 0.8830 1.1 0.8980 0.8997 0.9015 1.2 0.9147 0.9162 0.9177 1.3 0.9292 0.9306 0.9319 1.4 0.9505 0.9756 0.9761 0.9767 1.9 0.9808 0.9812 0,9817 2.0 0.9850 0.9854 0.9857 2.1 0.9884 0.9887 0.9890 2.2 0.9911 0.9913 0.9916 2.3 0.2148 -0.7 0.9932 0.9934 0.9936 2.4 2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 2.5 2.6 0,9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 2.6 2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 2.7 1 0.2483 0.2451 -0.6 0.2810 0.2776 -0.5 田 0.4761 0.4721 0.4681 .06 .07 .08 0.3483 -0.3 0.3859 -0.2 0.4247 -0.1 0.4641 -0.0 .09 2 2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 2.8 2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 2.9 3.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 3.0 3.1 0.9990 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993 3.1 3.2 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 3.2 3.3 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 3.3 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 3.4 .00 .01 .02 .03 .04 .06 .07 .08 .09 0.9997 .05 Z
Transcribed Image Text:Areas under the Normal Curve Areas under the Normal Curve = .00 .01 .02 -3.4 0.0003 0.0003 0.0003 -3.3 0.0005 0.0005 0.0005 -3.2 0.0007 0.0007 0.0006 -3.1 0.0010 0.0009 0.0009 -3.0 0.0013 0.0013 0.0013 .03 0.0003 0.0004 .04 0.0003 0.0003 .05 0.0006 0.0009 0.0012 -1.8 0.0359 0.0351 田 ୧. -0.0 ¡A .00 .01 0.4404 0.4920 0.4880 0.4840 0.4801 .02 .03 .04 .05 0.0006 0.0005 0.0008 0.0008 0.0011 0.0011 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 -2.9 -2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 -2.8 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026 -2.7 -2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 -2.6 -2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 -2.5 -2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 -2.4 -2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 -2.3 -2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 -2.2 -2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 -2.1 -2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 -2.0 -1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 -1.9 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 -1.8 -1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 -1.7 -1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 -1.6 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 -1.5 -1.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 -1.4 -1.3 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 -1.3 -1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0,0985 -1.2 -1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 -1.1 -1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 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0.6554 0.6591 0.6628 0.6664 0.6915 0.6950 0.6985 0.7019 0.7157 0.7190 0.7224 0.5 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.6 .04 .05 .06 0.5160 0.5199 0.5239 0.5557 0.5596 0.5636 0.5948 0.5987 0.6026 0.6331 0.6368 0.6406 0.6700 0.6736 0.6772 0.7054 0.7088 0.7123 .07 .08 .09 2 0.5279 0.5319 0.5359 0.0 0.5675 0.5714 0.5753 0.1 0.6064 0.6103 0.6141 0.2 0.6443 0.6480 0.6517 0.3 0.6808 0.6844 0.6879 0.4 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.7 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.8 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 0.9 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 1.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.5 1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9515 0.9525 0.9535 0.9545 1.6 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.7 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 1.8 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 2.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0,9906 0,9909 2.4 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.8531 0.8554 0.8577 0.8599 0.8621 1.0 0.8790 0.8810 0.8830 1.1 0.8980 0.8997 0.9015 1.2 0.9147 0.9162 0.9177 1.3 0.9292 0.9306 0.9319 1.4 0.9505 0.9756 0.9761 0.9767 1.9 0.9808 0.9812 0,9817 2.0 0.9850 0.9854 0.9857 2.1 0.9884 0.9887 0.9890 2.2 0.9911 0.9913 0.9916 2.3 0.2148 -0.7 0.9932 0.9934 0.9936 2.4 2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 2.5 2.6 0,9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 2.6 2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 2.7 1 0.2483 0.2451 -0.6 0.2810 0.2776 -0.5 田 0.4761 0.4721 0.4681 .06 .07 .08 0.3483 -0.3 0.3859 -0.2 0.4247 -0.1 0.4641 -0.0 .09 2 2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 2.8 2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 2.9 3.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 3.0 3.1 0.9990 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993 3.1 3.2 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 3.2 3.3 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 3.3 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 3.4 .00 .01 .02 .03 .04 .06 .07 .08 .09 0.9997 .05 Z
A coin is tossed 576 times. Use the normal curve approximation to find the probability of obtaining (a) between 269 and 301 heads inclusive; (b) exactly 292 heads; (c) fewer than 261 or more than 321 heads. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) The probability is (Round to four decimal places as needed.) (b) The probability is ☐ (Round to four decimal places as needed.) (c) The probability is (Round to four decimal places as needed.)
Transcribed Image Text:A coin is tossed 576 times. Use the normal curve approximation to find the probability of obtaining (a) between 269 and 301 heads inclusive; (b) exactly 292 heads; (c) fewer than 261 or more than 321 heads. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) The probability is (Round to four decimal places as needed.) (b) The probability is ☐ (Round to four decimal places as needed.) (c) The probability is (Round to four decimal places as needed.)
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