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The average number of field mice per acre in a 6-acre wheat field is estimated to be 16. (a) Find the probability that fewer than 15 field mice are found on a given acre. (b) Find the probability that fewer than 15 field mice are found on 2 of the next 3 acres inspected. E Click here to view the table of Poisson probability sums.

The average number of field mice per acre in a 6-acre wheat field is estimated to be 16. (a) Find the probability that fewer than 15 field mice are found on a given acre. (b) Find the probability that fewer than 15 field mice are found on 2 of the next 3 acres inspected. E Click here to view the table of Poisson probability sums.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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The average number of field mice per acre in a 6-acre wheat field is estimated to be 16. (a) Find the probability that fewer than 15 field mice are found on a given acre. (b) Find the probability that fewer than 15 field mice are found on 2 of the next 3 acres inspected. Click here to view the table of Poisson probability sums.
Transcribed Image Text:The average number of field mice per acre in a 6-acre wheat field is estimated to be 16. (a) Find the probability that fewer than 15 field mice are found on a given acre. (b) Find the probability that fewer than 15 field mice are found on 2 of the next 3 acres inspected. Click here to view the table of Poisson probability sums.
Poisson Probability Sums E p(r;p) 10.0 11.0 12.0 13.0 14.0 15.0 16.0 17.0 18.0 0.0000 0.0000 0.0000 0.0001 1 0.0005 0.0002 0.0000 0.0000 0.0028 0.0012 0.0005 0.0002 0.0001 0.0000 0.0000 3 0.0103 0.0293 0.0000 0.0001 0.0049 0.0023 0.0011 0.0037 0.0005 0.0002 0.0009 0.0001 0.0004 0.0000 0.0151 0.0076 0.0018 0.0002 0.0671 0.0375 0.0203 0.0107 0.0055 0.0028 0.0014 0.0007 0.000S 6. 0.1301 0.0786 0.0458 0.0259 0.0142 0.0076 0.0040 0.0021 0.0010 0.2202 0.1432 0.0895 0.0020 0.0540 0.0998 7 0.0316 0.0180 0.0100 0.0054 0.3328 0.1550 0.2424 0.3472 8 0.0621 0.0220 0.0126 0.2320 0.3405 0.0374 0.0699 0.0071 0.0154 0.030- 0.4579 0.1658 0.1094 0.0433 0.0261 10 0.5830 0.4599 0.2517 0.1757 0.1185 0.0774 0.0491 11 0.6968 0.5793 0.4616 0.3532 0.2600 0.1848 0.1270 0.0847 0.0545 12 0.7916 0.8645 0.6887 0.7813 0.5760 0.6815 0.4631 0.5730 0.3585 0.4644 0.2676 0.1931 0.1350 0.091 0.1426 13 0.3632 0.2745 0.2009 14 15 0.6751 0.7636 0.5704 0.6694 0.9165 0.8540 0.9074 0.7720 0.8444 0.4657 0.5681 0.3675 0.4667 0.2808 0.3715 0.2081 0.9513 0.2867 16 0.9730 0.9441 0.8987 0.8355 0.7559 0.6641 0.5660 0.4677 0.3751 17 0.9857 0.9678 0.9370 0.8905 0.8272 0.7489 0.6593 0.5640 0.4686 18 0.9823 0.9302 0.5622 0.9928 0.9965 0.9626 0.9787 0.8826 0.8195 0.7423 0.6550 0.7363 0.9907 0.9573 0.9235 0.8752 0.8122 0.650S 19 20 0.9984 0.9953 0.9884 0.9750 0.9521 0.9170 0.8682 0.8055 0.730 21 0.9993 0.9977 0.9990 0.9939 0.9859 0.9712 0.9469 0.9673 0.9108 0.9418 0.9633 0.8615 0.7991 22 0.9997 0.9970 0.9924 0.9833 0.9047 0.8551 23 24 0.9999 1.0000 0.9995 0.9998 0.9985 0.9993 0.9960 0.9980 0.9907 0.9950 0.9805 0.9888 0.9367 0.9594 0.8986 0.931 0.965 0.9777 25 0.9999 0.9997 0.9990 0.9974 0.9938 0.9869 0.9748 26 27 28 0.9995 0.9998 0.9999 0.9925 0.9959 0.9978 0.9989 0.971 0.9827 0.9892 1.0000 0.9999 0.9987 0.9994 0.9997 0.9967 0.9983 0.9848 0.9912 0.9999 1.0000 0.9991 0.9930 0.9973 0.9986 29 1.0000 0.9909 0.9996 0.9941 30 0.9999 0.9908 0.9994 0.996 31 1.0000 0.9997 0.9993 0.9982 0.9999 1.0000 32 0.9909 0.9996 0.9900 33 0.9999 0.9998 0.9990 0.9998 0.900 34 1.0000 0.9999 35 1.0000 36 0.9990 1.0000 37 10.0 11.0 12.0 13.0 14.0 15.0 16.0 17.0 18.0
Transcribed Image Text:Poisson Probability Sums E p(r;p) 10.0 11.0 12.0 13.0 14.0 15.0 16.0 17.0 18.0 0.0000 0.0000 0.0000 0.0001 1 0.0005 0.0002 0.0000 0.0000 0.0028 0.0012 0.0005 0.0002 0.0001 0.0000 0.0000 3 0.0103 0.0293 0.0000 0.0001 0.0049 0.0023 0.0011 0.0037 0.0005 0.0002 0.0009 0.0001 0.0004 0.0000 0.0151 0.0076 0.0018 0.0002 0.0671 0.0375 0.0203 0.0107 0.0055 0.0028 0.0014 0.0007 0.000S 6. 0.1301 0.0786 0.0458 0.0259 0.0142 0.0076 0.0040 0.0021 0.0010 0.2202 0.1432 0.0895 0.0020 0.0540 0.0998 7 0.0316 0.0180 0.0100 0.0054 0.3328 0.1550 0.2424 0.3472 8 0.0621 0.0220 0.0126 0.2320 0.3405 0.0374 0.0699 0.0071 0.0154 0.030- 0.4579 0.1658 0.1094 0.0433 0.0261 10 0.5830 0.4599 0.2517 0.1757 0.1185 0.0774 0.0491 11 0.6968 0.5793 0.4616 0.3532 0.2600 0.1848 0.1270 0.0847 0.0545 12 0.7916 0.8645 0.6887 0.7813 0.5760 0.6815 0.4631 0.5730 0.3585 0.4644 0.2676 0.1931 0.1350 0.091 0.1426 13 0.3632 0.2745 0.2009 14 15 0.6751 0.7636 0.5704 0.6694 0.9165 0.8540 0.9074 0.7720 0.8444 0.4657 0.5681 0.3675 0.4667 0.2808 0.3715 0.2081 0.9513 0.2867 16 0.9730 0.9441 0.8987 0.8355 0.7559 0.6641 0.5660 0.4677 0.3751 17 0.9857 0.9678 0.9370 0.8905 0.8272 0.7489 0.6593 0.5640 0.4686 18 0.9823 0.9302 0.5622 0.9928 0.9965 0.9626 0.9787 0.8826 0.8195 0.7423 0.6550 0.7363 0.9907 0.9573 0.9235 0.8752 0.8122 0.650S 19 20 0.9984 0.9953 0.9884 0.9750 0.9521 0.9170 0.8682 0.8055 0.730 21 0.9993 0.9977 0.9990 0.9939 0.9859 0.9712 0.9469 0.9673 0.9108 0.9418 0.9633 0.8615 0.7991 22 0.9997 0.9970 0.9924 0.9833 0.9047 0.8551 23 24 0.9999 1.0000 0.9995 0.9998 0.9985 0.9993 0.9960 0.9980 0.9907 0.9950 0.9805 0.9888 0.9367 0.9594 0.8986 0.931 0.965 0.9777 25 0.9999 0.9997 0.9990 0.9974 0.9938 0.9869 0.9748 26 27 28 0.9995 0.9998 0.9999 0.9925 0.9959 0.9978 0.9989 0.971 0.9827 0.9892 1.0000 0.9999 0.9987 0.9994 0.9997 0.9967 0.9983 0.9848 0.9912 0.9999 1.0000 0.9991 0.9930 0.9973 0.9986 29 1.0000 0.9909 0.9996 0.9941 30 0.9999 0.9908 0.9994 0.996 31 1.0000 0.9997 0.9993 0.9982 0.9999 1.0000 32 0.9909 0.9996 0.9900 33 0.9999 0.9998 0.9990 0.9998 0.900 34 1.0000 0.9999 35 1.0000 36 0.9990 1.0000 37 10.0 11.0 12.0 13.0 14.0 15.0 16.0 17.0 18.0
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