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 16 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 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
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 16 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 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
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...
Question
Please solve this correctly and make sure to round to 4 decimals
![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 16 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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd8fda3d8-6c5f-49e0-8b9c-9920a417b7ab%2F8a1ecadb-2656-4727-a533-acc20fab06e8%2Fp8y1tr_processed.png&w=3840&q=75)
Transcribed Image Text: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 16 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 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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd8fda3d8-6c5f-49e0-8b9c-9920a417b7ab%2F8a1ecadb-2656-4727-a533-acc20fab06e8%2F1rum882i_processed.png&w=3840&q=75)
Transcribed Image Text:> > >
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
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