> > > Binomial Probability Sums b(z;n,p) 1-0 P 0.20 15 2 0.8159 0.3980 0.2361 3 0.9444 0.6482 0.4613 4 12 " 0.10 0.25 0.30 0.40 0.50 0 0.2059 0.0352 0.0134 0.0047 0.0005 0.0000 1 0.5490 0.1671 0.0802 0.0353 0.0052 0.0005 0.0000 0.1268 0.0271 0.0037 0.0003 0.0000 0.2969 0.0905 0.0176 0.0019 0.0001 0.5155 0.2173 0.0592 0.0093 0.0007 0.60 0.70 0.80 0.90 0.0000 5 0.1509 0.0338 0.0037 0.0001 6 0.9873 0.8358 0.6865 0.9978 0.9389 0.8516 0.7216 0.4032 0.9997 0.9819 0.9434 0.8689 0.6098 0.3036 0.0950 0.0152 0.0008 7 1.0000 0.9958 0.9827 0.9500 0.7869 0.5000 0.2131 0.0500 0.0042 0.0000 0.9992 0.9958 0.9848 0.9050 0.6964 0.3902 0.1311 0.0181 0.0003 0.9999 0.9992 0.9963 0.9662 0.8491 0.5968 0.2784 0.0611 0.0022 1.0000 0.9999 0.9993 0.9907 0.9408 0.7827 0.4845 0.1642 0.0127 1.0000 0.9999 0.9981 0.9824 0.9095 0.7031 0.3518 0.0556 1.0000 0.9997 0.9963 0.9729 0.8732 0.6020 0.1841 1.0000 0.9995 0.9948 0.9647 0.8329 0.4510 1.0000 0.9995 0.9953 0.9648 0.7941 1.0000 1.0000 1.0000 1.0000 8 9 10 11 12 13 14 15 16 0 0.1853 1 0.0281 0.0100 0.0033 0.0003 0.0000 0.5147 0.1407 0.0635 0.0261 0.0033 0.0003 0.0000 2 0.7892 0.3518 0.1971 0.0994 0.0183 0.0021 0.0001 0.9316 0.5981 0.4050 0.2459 0.0651 0.0106 0.0009 0.0000 Binomial Probability Sums b(x;n,p) P " " 0.10 0.20 0.25 0.30 0.40 0.50 12 0 0.2824 1 0.0687 0.0317 0.0138 0.0022 0.0002 0.6590 0.2749 0.1584 0.0850 0.0196 0.0032 0.60 0.70 0.0000 0.80 0.90 2 0.8891 0.5583 0.3907 0.2528 0.0834 0.0193 3 4 0.9744 0.7946 0.6488 0.4925 0.2253 0.9957 0.9274 0.8424 0.7237 0.4382 5 0.9995 0.9806 0.9456 6 0.9999 0.9961 0.9857 7 0.8822 0.9614 0.9905 8 9 10 1.0000 11 12 0.0003 0.0000 0.0028 0.0002 0.0000 0.0153 0.0017 0.0001 0.0573 0.0095 0.0006 0.0000 0.1582 0.0386 0.0039 0.0001 0.3348 0.1178 0.0194 0.0005 1.0000 0.9994 0.9972 0.2763 0.0726 0.0043 0.9999 0.9996 0.9983 0.9847 0.9270 0.7747 0.5075 0.2054 0.0256 1.0000 1.0000 0.9998 0.9972 0.9807 0.9166 0.7472 0.4417 0.1109 0.9997 0.9968 0.9804 0.9150 0.7251 0.3410 1.0000 0.9998 0.9978 0.9313 0.7176 0.9862 1.0000 1.0000 1.0000 1.0000 1.0000 0.0730 0.1938 0.6652 0.3872 0.8418 0.6128 0.9427 0.8062 0.5618 1 2 3 13 0 0.2542 0.0550 0.0238 0.0097 0.0013 0.0001 0.0000 0.6213 0.2336 0.1267 0.0637 0.0126 0.0017 0.0001 0.0000 0.8661 0.5017 0.3326 0.2025 0.0579 0.0112 0.0013 0.0001 0.9658 0.7473 0.5843 0.4206 0.1686 0.0461 4 0.9935 0.9009 0.7940 5 0.9991 0.9700 0.9198 6 0.9999 0.9930 0.9757 7 1.0000 8 9 10 11 12 13 14 0 0.2288 0.0440 0.0178 1 0.5846 0.1979 0.1010 2 0.8416 0.4481 3 0.9559 0.6982 0.6543 0.3530 0.1334 0.8346 0.5744 0.2905 0.0078 0.0007 0.0000 0.0321 0.0040 0.0002 0.0977 0.0182 0.0012 0.0000 0.9376 0.7712 0.5000 0.2288 0.0624 0.0070 0.0001 0.9988 0.9944 0.9818 0.9023 0.7095 0.4256 0.1654 0.0300 0.0009 0.9998 0.9990 0.9960 0.9679 0.8666 0.6470 0.3457 0.0991 0.0065 1.0000 0.9999 0.9993 0.9922 0.9539 0.8314 0.5794 0.2527 0.0342 1.0000 0.9999 0.9987 0.9888 0.9421 0.7975 0.4983 0.1339 1.0000 0.9999 0.9983 0.9874 0.9363 0.7664 0.3787 1.0000 0.9999 0.9987 0.9903 0.9450 0.7458 1.0000 1.0000 1.0000 1.0000 1.0000 0.0068 0.0008 0.0001 0.0000 0.0475 0.0081 0.0009 0.0001 0.2811 0.1608 0.0398 0.0065 0.0006 0.0000 0.5213 0.3552 0.1243 0.0287 0.0039 0.0002 0.0000 0.0002 0.0015 4 0.9908 0.8702 0.7415 0.5842 0.2793 0.0898 0.0175 0.0017 0.0000 5 0.9985 0.9561 0.8883 0.7805 0.4859 0.2120 0.0583 0.0083 0.0004 0.9884 0.9617 0.3953 0.0024 0.9998 0.9067 0.6925 0.1501 0.0315 1.0000 0.9976 0.9897 0.9685 0.8499 0.6047 0.3075 0.0933 0.0116 0.9996 0.9978 0.9917 0.9417 0.7880 0.5141 0.2195 0.0439 1.0000 0.9997 0.9983 0.9825 0.9102 0.7207 0.4158 0.1298 0.0092 1.0000 0.9998 0.9961 0.9713 0.8757 0.6448 0.3018 0.0441 1.0000 0.9994 0.9935 0.9602 0.8392 0.5519 0.1584 0.9999 0.9991 0.9919 0.9525 0.8021 0.4154 1.0000 0.9999 0.9992 0.9932 0,9560 0.7712 1.0000 1.0000 1.0000 1.0000 1.0000 6 7 8 9 10 11 12 13 14 " 0.10 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.80 0.90 95.5% | -| - C 3 4 0.9830 0.7982 0.6302 0.4499 0.1666 0.0384 0.0049 0.0003 5 0.9967 0.9183 0.8103 0.6598 0.3288 0.1051 0.0191 0.0016 0.0000 7 8 9 10 11 12 13 14 15 16 12 " 0.10 0.20 0.25 0.30 0.40 6 0.9995 0.9733 0.9204 0.8247 0.5272 0.2272 0.0583 0.0071 0.0002 0.9999 0.9930 0.9729 0.9256 0.7161 0.4018 0.1423 0.0257 0.0015 0.0000 1.0000 0.9985 0.9925 0.9743 0.8577 0.0070 0.5982 0.2839 0.0744 0.0001 0.9998 0.9984 0.9929 0.9417 0.7728 0.4728 0.1753 0.0267 0.0005 1.0000 0.9997 0.9984 0.9809 0.8949 0.6712 0.3402 0.0817 0.0033 1.0000 0.9997 0.9951 0.9616 0.8334 0.5501 0.2018 0.0170 1.0000 0.9991 0.9894 0.9349 0.7541 0.4019 0.0684 0.9999 0.9979 0.9817 0.9006 0.6482 0.2108 1.0000 0.9997 0.9967 0.9739 0.8593 0.4853 1.0000 0.9997 0.9967 0.9719 0.8147 1.0000 1.0000 1.0000 1.0000 0.70 0.80 0.90 0.50 0.60 It is estimated that 4800 of the 16,000 voting residents of a town are against a new sales tax. If 14 eligible voters are selected at random and asked their opinion, what is the probability that at most 6 favor the new tax? Click here to view page 1 of the table of binomial probability sums. Click here to view page 2 of the table of binomial probability sums. The probability that at most 6 favor the new tax is (Round to four decimal places as needed.)
> > > Binomial Probability Sums b(z;n,p) 1-0 P 0.20 15 2 0.8159 0.3980 0.2361 3 0.9444 0.6482 0.4613 4 12 " 0.10 0.25 0.30 0.40 0.50 0 0.2059 0.0352 0.0134 0.0047 0.0005 0.0000 1 0.5490 0.1671 0.0802 0.0353 0.0052 0.0005 0.0000 0.1268 0.0271 0.0037 0.0003 0.0000 0.2969 0.0905 0.0176 0.0019 0.0001 0.5155 0.2173 0.0592 0.0093 0.0007 0.60 0.70 0.80 0.90 0.0000 5 0.1509 0.0338 0.0037 0.0001 6 0.9873 0.8358 0.6865 0.9978 0.9389 0.8516 0.7216 0.4032 0.9997 0.9819 0.9434 0.8689 0.6098 0.3036 0.0950 0.0152 0.0008 7 1.0000 0.9958 0.9827 0.9500 0.7869 0.5000 0.2131 0.0500 0.0042 0.0000 0.9992 0.9958 0.9848 0.9050 0.6964 0.3902 0.1311 0.0181 0.0003 0.9999 0.9992 0.9963 0.9662 0.8491 0.5968 0.2784 0.0611 0.0022 1.0000 0.9999 0.9993 0.9907 0.9408 0.7827 0.4845 0.1642 0.0127 1.0000 0.9999 0.9981 0.9824 0.9095 0.7031 0.3518 0.0556 1.0000 0.9997 0.9963 0.9729 0.8732 0.6020 0.1841 1.0000 0.9995 0.9948 0.9647 0.8329 0.4510 1.0000 0.9995 0.9953 0.9648 0.7941 1.0000 1.0000 1.0000 1.0000 8 9 10 11 12 13 14 15 16 0 0.1853 1 0.0281 0.0100 0.0033 0.0003 0.0000 0.5147 0.1407 0.0635 0.0261 0.0033 0.0003 0.0000 2 0.7892 0.3518 0.1971 0.0994 0.0183 0.0021 0.0001 0.9316 0.5981 0.4050 0.2459 0.0651 0.0106 0.0009 0.0000 Binomial Probability Sums b(x;n,p) P " " 0.10 0.20 0.25 0.30 0.40 0.50 12 0 0.2824 1 0.0687 0.0317 0.0138 0.0022 0.0002 0.6590 0.2749 0.1584 0.0850 0.0196 0.0032 0.60 0.70 0.0000 0.80 0.90 2 0.8891 0.5583 0.3907 0.2528 0.0834 0.0193 3 4 0.9744 0.7946 0.6488 0.4925 0.2253 0.9957 0.9274 0.8424 0.7237 0.4382 5 0.9995 0.9806 0.9456 6 0.9999 0.9961 0.9857 7 0.8822 0.9614 0.9905 8 9 10 1.0000 11 12 0.0003 0.0000 0.0028 0.0002 0.0000 0.0153 0.0017 0.0001 0.0573 0.0095 0.0006 0.0000 0.1582 0.0386 0.0039 0.0001 0.3348 0.1178 0.0194 0.0005 1.0000 0.9994 0.9972 0.2763 0.0726 0.0043 0.9999 0.9996 0.9983 0.9847 0.9270 0.7747 0.5075 0.2054 0.0256 1.0000 1.0000 0.9998 0.9972 0.9807 0.9166 0.7472 0.4417 0.1109 0.9997 0.9968 0.9804 0.9150 0.7251 0.3410 1.0000 0.9998 0.9978 0.9313 0.7176 0.9862 1.0000 1.0000 1.0000 1.0000 1.0000 0.0730 0.1938 0.6652 0.3872 0.8418 0.6128 0.9427 0.8062 0.5618 1 2 3 13 0 0.2542 0.0550 0.0238 0.0097 0.0013 0.0001 0.0000 0.6213 0.2336 0.1267 0.0637 0.0126 0.0017 0.0001 0.0000 0.8661 0.5017 0.3326 0.2025 0.0579 0.0112 0.0013 0.0001 0.9658 0.7473 0.5843 0.4206 0.1686 0.0461 4 0.9935 0.9009 0.7940 5 0.9991 0.9700 0.9198 6 0.9999 0.9930 0.9757 7 1.0000 8 9 10 11 12 13 14 0 0.2288 0.0440 0.0178 1 0.5846 0.1979 0.1010 2 0.8416 0.4481 3 0.9559 0.6982 0.6543 0.3530 0.1334 0.8346 0.5744 0.2905 0.0078 0.0007 0.0000 0.0321 0.0040 0.0002 0.0977 0.0182 0.0012 0.0000 0.9376 0.7712 0.5000 0.2288 0.0624 0.0070 0.0001 0.9988 0.9944 0.9818 0.9023 0.7095 0.4256 0.1654 0.0300 0.0009 0.9998 0.9990 0.9960 0.9679 0.8666 0.6470 0.3457 0.0991 0.0065 1.0000 0.9999 0.9993 0.9922 0.9539 0.8314 0.5794 0.2527 0.0342 1.0000 0.9999 0.9987 0.9888 0.9421 0.7975 0.4983 0.1339 1.0000 0.9999 0.9983 0.9874 0.9363 0.7664 0.3787 1.0000 0.9999 0.9987 0.9903 0.9450 0.7458 1.0000 1.0000 1.0000 1.0000 1.0000 0.0068 0.0008 0.0001 0.0000 0.0475 0.0081 0.0009 0.0001 0.2811 0.1608 0.0398 0.0065 0.0006 0.0000 0.5213 0.3552 0.1243 0.0287 0.0039 0.0002 0.0000 0.0002 0.0015 4 0.9908 0.8702 0.7415 0.5842 0.2793 0.0898 0.0175 0.0017 0.0000 5 0.9985 0.9561 0.8883 0.7805 0.4859 0.2120 0.0583 0.0083 0.0004 0.9884 0.9617 0.3953 0.0024 0.9998 0.9067 0.6925 0.1501 0.0315 1.0000 0.9976 0.9897 0.9685 0.8499 0.6047 0.3075 0.0933 0.0116 0.9996 0.9978 0.9917 0.9417 0.7880 0.5141 0.2195 0.0439 1.0000 0.9997 0.9983 0.9825 0.9102 0.7207 0.4158 0.1298 0.0092 1.0000 0.9998 0.9961 0.9713 0.8757 0.6448 0.3018 0.0441 1.0000 0.9994 0.9935 0.9602 0.8392 0.5519 0.1584 0.9999 0.9991 0.9919 0.9525 0.8021 0.4154 1.0000 0.9999 0.9992 0.9932 0,9560 0.7712 1.0000 1.0000 1.0000 1.0000 1.0000 6 7 8 9 10 11 12 13 14 " 0.10 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.80 0.90 95.5% | -| - C 3 4 0.9830 0.7982 0.6302 0.4499 0.1666 0.0384 0.0049 0.0003 5 0.9967 0.9183 0.8103 0.6598 0.3288 0.1051 0.0191 0.0016 0.0000 7 8 9 10 11 12 13 14 15 16 12 " 0.10 0.20 0.25 0.30 0.40 6 0.9995 0.9733 0.9204 0.8247 0.5272 0.2272 0.0583 0.0071 0.0002 0.9999 0.9930 0.9729 0.9256 0.7161 0.4018 0.1423 0.0257 0.0015 0.0000 1.0000 0.9985 0.9925 0.9743 0.8577 0.0070 0.5982 0.2839 0.0744 0.0001 0.9998 0.9984 0.9929 0.9417 0.7728 0.4728 0.1753 0.0267 0.0005 1.0000 0.9997 0.9984 0.9809 0.8949 0.6712 0.3402 0.0817 0.0033 1.0000 0.9997 0.9951 0.9616 0.8334 0.5501 0.2018 0.0170 1.0000 0.9991 0.9894 0.9349 0.7541 0.4019 0.0684 0.9999 0.9979 0.9817 0.9006 0.6482 0.2108 1.0000 0.9997 0.9967 0.9739 0.8593 0.4853 1.0000 0.9997 0.9967 0.9719 0.8147 1.0000 1.0000 1.0000 1.0000 0.70 0.80 0.90 0.50 0.60 It is estimated that 4800 of the 16,000 voting residents of a town are against a new sales tax. If 14 eligible voters are selected at random and asked their opinion, what is the probability that at most 6 favor the new tax? Click here to view page 1 of the table of binomial probability sums. Click here to view page 2 of the table of binomial probability sums. The probability that at most 6 favor the new tax is (Round to four decimal places as needed.)
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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