Binomial Probability Sums Źb(x;n,p) P " " 0.10 12 0 0.25 0.2824 0.0687 0.0317 0.20 1 0.6590 0.2749 0.1584 0.30 0.0138 0.0850 2 0.8891 0.5583 0.3907 0.2528 3 4 5 6 8 9 10 11 12 0.40 0.50 0.0022 0.0002 0.0196 0.0032 0.0003 0.0000 0.0834 0.0193 0.0028 0.0002 0.0000 0.9744 0.7946 0.6488 0.4925 0.2253 0.0730 0.0153 0.0017 0.0001 0.9957 0.9274 0.8424 0.7237 0.4382 0.1938 0.0573 0.0095 0.0006 0.0000 0.9995 0.9806 0.9456 0.8822 0.6652 0.3872 0.1582 0.0386 0.0039 0.0001 0.9999 0.9961 0.9857 0.9614 0.8418 0.6128 0.3348 0.1178 0.0194 0.0005 7 1.0000 0.9994 0.9972 0.9905 0.9427 0.8062 0.5618 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 1.0000 0.9997 0.9968 0.9804 0.9150 0.7251 0.3410 1.0000 0.9998 0.9978 0.9862 0.9313 0.7176 1.0000 1.0000 1.0000 1.0000 1.0000 0.60 0.0000 0.70 0.80 0.90 ☐ = Binomial Probability Sums b(z;n,p) 7-0 P 12 " 15 0 1 5 6 8 13 134 0 2 3 5 8 9 10 11 12 13 14 0 0.2288 0.0440 2 3 1 0.5846 0.1979 0.4481 0.8416 0.9559 0.6982 0.0178 0.0068 0.1010 0.0475 0.2811 0.1608 0.5213 0.3552 0.2542 0.0550 0.0238 0.0097 0.0013 1 0.6213 0.2336 0.1267 0.0637 0.0126 0.8661 0.5017 0.3326 0.2025 0.0579 0.9658 0.7473 0.5843 0.4206 0.1686 4 0.9935 0.9009 0.7940 0.6543 0.3530 0.9991 0.9700 0.9198 0.8346 0.5744 0.2905 0.0977 0.0182 0.0012 0.0000 6 0.9999 0.9930 0.9757 0.9376 0.7712 0.5000 0.2288 0.0624 0.0070 0.0001 7 1.0000 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 1.0000 0.9999 0.9987 0.9903 1.0000 1.0000 1.0000 0.0008 0.0001 0.0000 0.0009 0.0081 0.0001 0.0065 0.0006 0.0398 0.1243 0.0287 0.0039 0.0002 0.0001 0.0000 0.0017 0.0001 0.0000 9 0.0112 0.0013 0.0001 10 11 0.0461 0.0078 0.0007 0.0000 0.1334 0.0321 0.0040 0.0002 12 0.10 0.20 0.25 0.30 0.40 0.50 0.2059 0.0352 0.0134 0.0047 0.0005 0.0000 0.5490 0.1671 0.0802 0.0353 0.0052 0.0005 0.0000 2 0.8159 0.3980 0.2361 0.1268 0.0271 0.0037 0.0003 0.0000 3 0.9444 0.6482 0.4613 0.2969 0.0905 0.0176 0.0019 0.0001 4 0.9873 0.8358 0.6865 0.5155 0.2173 0.0592 0.0093 0.0007 0.0000 0.9978 0.9389 0.8516 0.7216 0.4032 0.1509 0.0338 0.0037 0.0001 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 0.9992 0.9958 0.9848 0.9050 0.6964 0.3902 0.1311 0.0181 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 0.60 0.70 0.80 0.90 0.0000 0.0003 13 14 15 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 16 0 0.1853 1 0.7664 0.3787 1.0000 0.9450 0.7458 1.0000 4 5 7 0.0000 8 4 0.9908 0.8702 0.7415 0.5842 0.2793 0.0898 0.0175 0.0017 0.0000 9 5 0.9985 0.9561 0.8883 0.7805 0.4859 0.2120 0.0583 0.0083 0.0004 10 8 9 10 11 12 13 14 6 0.9998 0.9884 0.9617 0.9067 0.6925 0.3953 0.1501 0.0315 0.0024 0.0000 7 1.0000 0.9976 0.9897 0.9685 0.8499 0.6047 0.3075 0.0933 0.0116 0.0002 0.9996 0.9978 0.9917 0.9417 0.7880 0.5141 0.2195 0.0439 0.0015 1.0000 0.9997 0.9983 0.9825 0.9102 0.7207 0.4158 0.1298 0.0092 0.9998 1.0000 0.9961 0.9713 0.8757 0.6448 0.3018 1.0000 0.9994 0.9935 0.9602 0.8392 0.5519 0.9999 0.9991 0.9919 0.9525 0.8021 1.0000 0.9999 0.9992 0.9932 0.9560 1.0000 1.0000 1.0000 1.0000 11 110% 12 13 14 0.0441 0.1584 0.4154 0.7712 1.0000 15 16 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 3 0.9316 0.4050 0.2459 0.5981 0.0651 0.0106 0.0009 0.0000 0.9830 0.6302 0.4499 0.1666 0.0384 0.7982 0.0049 0.0003 0.9967 0.9183 0.8103 0.6598 0.3288 0.1051 0.0191 0.0016 0.0000 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 0.0015 0.7161 0.4018 0.1423 0.0257 0.0000 1.0000 0.9985 0.9925 0.9743 0.8577 0.5982 0.2839 0.0744 0.0070 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 0.9967 0.9739 0.8593 0.4853 0.9997 0.9967 0.9719 0.8147 1.0000 1.0000 1.0000 1.0000 0.9997 1.0000 " 0.10 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.80 0.90 P n 0.10 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.80 0.90 P In testing a certain kind or truck tire over rugged terrain, it is found that 20% of the trucks fail to complete the test run without a blowout. Of the next 14 trucks tested, find the probability that (a) from 2 to 6 have blowouts, (b) fewer than 4 have blowouts, and (c) more than 5 have blowouts. 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. (a) The probability that from 2 to 6 trucks have blowouts is (Round to four decimal places as needed.) (b) The probability that fewer than 4 trucks have blowouts is (Round to four decimal places as needed.) (c) The probability that more than 5 trucks have blowouts is (Round to four decimal places as needed.)

Binomial Probability Sums Źb(x;n,p) P " " 0.10 12 0 0.25 0.2824 0.0687 0.0317 0.20 1 0.6590 0.2749 0.1584 0.30 0.0138 0.0850 2 0.8891 0.5583 0.3907 0.2528 3 4 5 6 8 9 10 11 12 0.40 0.50 0.0022 0.0002 0.0196 0.0032 0.0003 0.0000 0.0834 0.0193 0.0028 0.0002 0.0000 0.9744 0.7946 0.6488 0.4925 0.2253 0.0730 0.0153 0.0017 0.0001 0.9957 0.9274 0.8424 0.7237 0.4382 0.1938 0.0573 0.0095 0.0006 0.0000 0.9995 0.9806 0.9456 0.8822 0.6652 0.3872 0.1582 0.0386 0.0039 0.0001 0.9999 0.9961 0.9857 0.9614 0.8418 0.6128 0.3348 0.1178 0.0194 0.0005 7 1.0000 0.9994 0.9972 0.9905 0.9427 0.8062 0.5618 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 1.0000 0.9997 0.9968 0.9804 0.9150 0.7251 0.3410 1.0000 0.9998 0.9978 0.9862 0.9313 0.7176 1.0000 1.0000 1.0000 1.0000 1.0000 0.60 0.0000 0.70 0.80 0.90 ☐ = Binomial Probability Sums b(z;n,p) 7-0 P 12 " 15 0 1 5 6 8 13 134 0 2 3 5 8 9 10 11 12 13 14 0 0.2288 0.0440 2 3 1 0.5846 0.1979 0.4481 0.8416 0.9559 0.6982 0.0178 0.0068 0.1010 0.0475 0.2811 0.1608 0.5213 0.3552 0.2542 0.0550 0.0238 0.0097 0.0013 1 0.6213 0.2336 0.1267 0.0637 0.0126 0.8661 0.5017 0.3326 0.2025 0.0579 0.9658 0.7473 0.5843 0.4206 0.1686 4 0.9935 0.9009 0.7940 0.6543 0.3530 0.9991 0.9700 0.9198 0.8346 0.5744 0.2905 0.0977 0.0182 0.0012 0.0000 6 0.9999 0.9930 0.9757 0.9376 0.7712 0.5000 0.2288 0.0624 0.0070 0.0001 7 1.0000 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 1.0000 0.9999 0.9987 0.9903 1.0000 1.0000 1.0000 0.0008 0.0001 0.0000 0.0009 0.0081 0.0001 0.0065 0.0006 0.0398 0.1243 0.0287 0.0039 0.0002 0.0001 0.0000 0.0017 0.0001 0.0000 9 0.0112 0.0013 0.0001 10 11 0.0461 0.0078 0.0007 0.0000 0.1334 0.0321 0.0040 0.0002 12 0.10 0.20 0.25 0.30 0.40 0.50 0.2059 0.0352 0.0134 0.0047 0.0005 0.0000 0.5490 0.1671 0.0802 0.0353 0.0052 0.0005 0.0000 2 0.8159 0.3980 0.2361 0.1268 0.0271 0.0037 0.0003 0.0000 3 0.9444 0.6482 0.4613 0.2969 0.0905 0.0176 0.0019 0.0001 4 0.9873 0.8358 0.6865 0.5155 0.2173 0.0592 0.0093 0.0007 0.0000 0.9978 0.9389 0.8516 0.7216 0.4032 0.1509 0.0338 0.0037 0.0001 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 0.9992 0.9958 0.9848 0.9050 0.6964 0.3902 0.1311 0.0181 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 0.60 0.70 0.80 0.90 0.0000 0.0003 13 14 15 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 16 0 0.1853 1 0.7664 0.3787 1.0000 0.9450 0.7458 1.0000 4 5 7 0.0000 8 4 0.9908 0.8702 0.7415 0.5842 0.2793 0.0898 0.0175 0.0017 0.0000 9 5 0.9985 0.9561 0.8883 0.7805 0.4859 0.2120 0.0583 0.0083 0.0004 10 8 9 10 11 12 13 14 6 0.9998 0.9884 0.9617 0.9067 0.6925 0.3953 0.1501 0.0315 0.0024 0.0000 7 1.0000 0.9976 0.9897 0.9685 0.8499 0.6047 0.3075 0.0933 0.0116 0.0002 0.9996 0.9978 0.9917 0.9417 0.7880 0.5141 0.2195 0.0439 0.0015 1.0000 0.9997 0.9983 0.9825 0.9102 0.7207 0.4158 0.1298 0.0092 0.9998 1.0000 0.9961 0.9713 0.8757 0.6448 0.3018 1.0000 0.9994 0.9935 0.9602 0.8392 0.5519 0.9999 0.9991 0.9919 0.9525 0.8021 1.0000 0.9999 0.9992 0.9932 0.9560 1.0000 1.0000 1.0000 1.0000 11 110% 12 13 14 0.0441 0.1584 0.4154 0.7712 1.0000 15 16 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 3 0.9316 0.4050 0.2459 0.5981 0.0651 0.0106 0.0009 0.0000 0.9830 0.6302 0.4499 0.1666 0.0384 0.7982 0.0049 0.0003 0.9967 0.9183 0.8103 0.6598 0.3288 0.1051 0.0191 0.0016 0.0000 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 0.0015 0.7161 0.4018 0.1423 0.0257 0.0000 1.0000 0.9985 0.9925 0.9743 0.8577 0.5982 0.2839 0.0744 0.0070 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 0.9967 0.9739 0.8593 0.4853 0.9997 0.9967 0.9719 0.8147 1.0000 1.0000 1.0000 1.0000 0.9997 1.0000 " 0.10 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.80 0.90 P n 0.10 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.80 0.90 P In testing a certain kind or truck tire over rugged terrain, it is found that 20% of the trucks fail to complete the test run without a blowout. Of the next 14 trucks tested, find the probability that (a) from 2 to 6 have blowouts, (b) fewer than 4 have blowouts, and (c) more than 5 have blowouts. 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. (a) The probability that from 2 to 6 trucks have blowouts is (Round to four decimal places as needed.) (b) The probability that fewer than 4 trucks have blowouts is (Round to four decimal places as needed.) (c) The probability that more than 5 trucks have blowouts is (Round to four decimal places as needed.)

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

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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