2345 67890 1281) 10 13 14 0.0103 0.0293 0.0671 0.9165 15 0.9513 21 0.0142 0.1301 0.0786 0.0458 0.0259 0.0895 0.0540 0.2202 0.1432 0.0316 0.3328 0.2320 0.1550 0.0998 0.0621 0.4579 0.3405 0.2424 0.1658 0.1094 0.5830 0.4599 0.3472 0.2517 0.1757 0.1185 0.6968 0.5793 0.4616 0.3532 0.2600 0.7916 0.6887 0.5760 0.4631 0.3585 0.8645 0.7813 0.6815 0.5730 0.4644 0.8540 0.7720 0.6751 0.5704 0.9074 0.8444 0.7636 0.6694 0.7559 0.8272 16 0.9730 0.9441 0.8987 0.8355 17 0.9857 0.9678 0.9370 0.8905 18 19 20 0.0049 0.0023 0.0011 0.0005 0.0002 0.0001 0.0000 0.0000 0.0151 0.0076 0.0037 0.0018 0.0009 0.0004 0.0002 0.0001 0.0375 0.0203 0.0107 0.0055 0.0028 0.0014 0.0007 0.0003 0.9928 0.9823 0.9626 0.9965 0.9907 0.9787 0.9984 0.9953 0.9884 0.9993 0.9997 22 23 0.9999 0.9302 0.8826 0.9573 0.9235 0.9750 0.9977 0.9939 0.9859 0.9990 0.9970 0.9924 0.9995 0.9985 0.9960 0.0076 0.0040 0.0021 0.0180 0.0100 0.0054 0.0374 0.0220 0.0126 0.0699 0.0433 0.0261 0.0774 0.0491 0.1848 0.1270 0.2676 0.1931 0.2745 0.2009 0.3632 0.4657 0.3675 0.2808 0.5681 0.4667 0.3715 0.6641 0.7489 0.0847 0.0549 0.1350 0.0917 0.1426 0.2081 0.2867 0.5660 0.4677 0.6593 0.5640 0.0010 0.0029 0.0071 0.0154 0.0304 0.8195 0.7423 0.6550 0.8752 0.8122 0.7363 0.9170 0.8682 0.8055 0.3751 0.4686 0.5622 0.6509 0.7307 0.9521 0.9712 0.9469 0.9108 0.8615 0.7991 0.9833 0.9673 0.9418 0.9047 0.8551 0.9907 0.9805 0.9633 0.9367 0.8989

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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6
7
8
9
10
T
10.0
11.0
12.0
0 0.0000 0.0000 0.0000
1 0.0005
0.0002
0.0012 0.0005
2
0.0028
3
0.0049
0.0023
0.0011
0.0103
4 0.0293 0.0151 0.0076 0.0037 0.0018
0.0107 0.0055
5
0.0671 0.0375
0.0203
0.0458 0.0259 0.0142
0.0540 0.0316
0.0998 0.0621
0.1658
0.1094
0.2517
0.1757
11
0.6968
12
0.7916
13
0.8645
14
0.9165 0.8540
15 0.9513 0.9074
16
17
18
19
20
26
27
28
29
30
31
32
33
34
35
36
37
T
0.1301 0.0786
0.1432 0.0895
0.2202
0.3328
0.2320
0.1550
0.4579 0.3405
0.2424
0.5830
0.4599
0.3472
0.9730 0.9441
0.9857
0.9678
Poisson Probability Sums Σ p(x;µ)
T=0
0.9928 0.9823
0.9965 0.9907
0.9984 0.9953
10.0
0.5793
0.4616
0.6887 0.5760
0.7813 0.6815
21 0.9993 0.9977 0.9939 0.9859 0.9712
22 0.9997 0.9990 0.9970 0.9924 0.9833
23 0.9999 0.9995 0.9985 0.9960 0.9907
24 1.0000 0.9998 0.9993 0.9980 0.9950
25
0.9999
0.9997 0.9990 0.9974
1.0000
11.0
0.0001 0.0000 0.0000
0.0002 0.0001
0.0005
13.0
0.3532
0.2600
0.4631
0.3585
0.5730
0.4644
0.6751 0.5704
0.7720
0.8444 0.7636 0.6694
0.8987
0.9370
"
14.0
0.9999 0.9995
0.9999
0.9998
1.0000
12.0
0.9999
1.0000
13.0
15.0
fl
14.0
0.0000 0.0000
0.0002 0.0001
0.0009
0.0028 0.0014
16.0
0.5660 0.4677
0.8355 0.7559 0.6641
0.3751
0.8905 0.8272 0.7489 0.6593 0.5640 0.4686
0.9626 0.9302 0.8826 0.8195 0.7423 0.6550 0.5622
0.9787 0.9573 0.9235 0.8752 0.8122 0.7363
0.9884 0.9750 0.9521 0.9170 0.8682 0.8055
0.6509
0.7307
0.0076 0.0040 0.0021
0.0180 0.0100 0.0054
0.0374 0.0220
0.0126
0.0699
0.0433
0.0261
0.1185
0.0774 0.0491
0.1848
0.1270 0.0847
0.2676 0.1931
0.1350
0.3632
0.2745
0.2009
0.4657 0.3675 0.2808
0.5681
0.4667
0.3715
0.9805
0.9888
0.9938
17.0
0.0000
0.0000
0.0004 0.0002 0.0001
0.0007
0.0003
0.9469 0.9108 0.8615
0.9673 0.9418 0.9047
0.9999
1.0000
0.9987
0.9967
0.9994 0.9983
0.9997 0.9991 0.9978
0.9999
0.9999
1.0000
15.0
0.9925 0.9848
0.9959
0.9912
0.9950
0.9996 0.9989 0.9973
0.9998 0.9994 0.9986
0.9633
0.9367
0.9777
0.9594
0.9869 0.9748
0.9997
0.9993
0.9999 0.9996
0.9999 0.9998
1.0000 0.9999
1.0000
16.0
18.0
17.0
0.0010
0.0029
0.0071
0.0154
0.0304
0.0549
0.0917
0.1426
0.2081
0.2867
0.7991
0.8551
0.8989
0.9317
0.9554
0.9718
0.9827
0.9897
0.9941
0.9967
0.9982
0.9990
0.9995
0.9998
0.9999
0.9999
1.0000
18.0
Transcribed Image Text:6 7 8 9 10 T 10.0 11.0 12.0 0 0.0000 0.0000 0.0000 1 0.0005 0.0002 0.0012 0.0005 2 0.0028 3 0.0049 0.0023 0.0011 0.0103 4 0.0293 0.0151 0.0076 0.0037 0.0018 0.0107 0.0055 5 0.0671 0.0375 0.0203 0.0458 0.0259 0.0142 0.0540 0.0316 0.0998 0.0621 0.1658 0.1094 0.2517 0.1757 11 0.6968 12 0.7916 13 0.8645 14 0.9165 0.8540 15 0.9513 0.9074 16 17 18 19 20 26 27 28 29 30 31 32 33 34 35 36 37 T 0.1301 0.0786 0.1432 0.0895 0.2202 0.3328 0.2320 0.1550 0.4579 0.3405 0.2424 0.5830 0.4599 0.3472 0.9730 0.9441 0.9857 0.9678 Poisson Probability Sums Σ p(x;µ) T=0 0.9928 0.9823 0.9965 0.9907 0.9984 0.9953 10.0 0.5793 0.4616 0.6887 0.5760 0.7813 0.6815 21 0.9993 0.9977 0.9939 0.9859 0.9712 22 0.9997 0.9990 0.9970 0.9924 0.9833 23 0.9999 0.9995 0.9985 0.9960 0.9907 24 1.0000 0.9998 0.9993 0.9980 0.9950 25 0.9999 0.9997 0.9990 0.9974 1.0000 11.0 0.0001 0.0000 0.0000 0.0002 0.0001 0.0005 13.0 0.3532 0.2600 0.4631 0.3585 0.5730 0.4644 0.6751 0.5704 0.7720 0.8444 0.7636 0.6694 0.8987 0.9370 " 14.0 0.9999 0.9995 0.9999 0.9998 1.0000 12.0 0.9999 1.0000 13.0 15.0 fl 14.0 0.0000 0.0000 0.0002 0.0001 0.0009 0.0028 0.0014 16.0 0.5660 0.4677 0.8355 0.7559 0.6641 0.3751 0.8905 0.8272 0.7489 0.6593 0.5640 0.4686 0.9626 0.9302 0.8826 0.8195 0.7423 0.6550 0.5622 0.9787 0.9573 0.9235 0.8752 0.8122 0.7363 0.9884 0.9750 0.9521 0.9170 0.8682 0.8055 0.6509 0.7307 0.0076 0.0040 0.0021 0.0180 0.0100 0.0054 0.0374 0.0220 0.0126 0.0699 0.0433 0.0261 0.1185 0.0774 0.0491 0.1848 0.1270 0.0847 0.2676 0.1931 0.1350 0.3632 0.2745 0.2009 0.4657 0.3675 0.2808 0.5681 0.4667 0.3715 0.9805 0.9888 0.9938 17.0 0.0000 0.0000 0.0004 0.0002 0.0001 0.0007 0.0003 0.9469 0.9108 0.8615 0.9673 0.9418 0.9047 0.9999 1.0000 0.9987 0.9967 0.9994 0.9983 0.9997 0.9991 0.9978 0.9999 0.9999 1.0000 15.0 0.9925 0.9848 0.9959 0.9912 0.9950 0.9996 0.9989 0.9973 0.9998 0.9994 0.9986 0.9633 0.9367 0.9777 0.9594 0.9869 0.9748 0.9997 0.9993 0.9999 0.9996 0.9999 0.9998 1.0000 0.9999 1.0000 16.0 18.0 17.0 0.0010 0.0029 0.0071 0.0154 0.0304 0.0549 0.0917 0.1426 0.2081 0.2867 0.7991 0.8551 0.8989 0.9317 0.9554 0.9718 0.9827 0.9897 0.9941 0.9967 0.9982 0.9990 0.9995 0.9998 0.9999 0.9999 1.0000 18.0
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 13 field mice are found on a given acre.
(b) Find the probability that fewer than 13 field mice are found on 3 of the next 4 acres inspected.
Click here to view the table of Poisson probability sums.
(a) The probability that fewer than 13 field mice are found on a given acre is
(Round to four decimal places as needed.)
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 13 field mice are found on a given acre. (b) Find the probability that fewer than 13 field mice are found on 3 of the next 4 acres inspected. Click here to view the table of Poisson probability sums. (a) The probability that fewer than 13 field mice are found on a given acre is (Round to four decimal places as needed.)
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