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)10.011.012.013.014.015.016.017.018.00.00000.00000.00000.000110.00050.00020.00000.00000.00280.00120.00050.00020.00010.00000.000030.01030.02930.00000.00010.00490.00230.00110.00370.00050.00020.00090.00010.00040.00000.01510.00760.00180.00020.06710.03750.02030.01070.00550.00280.00140.00070.000S6.0.13010.07860.04580.02590.01420.00760.00400.00210.00100.22020.14320.08950.00200.05400.099870.03160.01800.01000.00540.33280.15500.24240.347280.06210.02200.01260.23200.34050.03740.06990.00710.01540.030-0.45790.16580.10940.04330.0261100.58300.45990.25170.17570.11850.07740.0491110.69680.57930.46160.35320.26000.18480.12700.08470.0545120.79160.86450.68870.78130.57600.68150.46310.57300.35850.46440.26760.19310.13500.0910.1426130.36320.27450.200914150.67510.76360.57040.66940.91650.85400.90740.77200.84440.46570.56810.36750.46670.28080.37150.20810.95130.2867160.97300.94410.89870.83550.75590.66410.56600.46770.3751170.98570.96780.93700.89050.82720.74890.65930.56400.4686180.98230.93020.56220.99280.99650.96260.97870.88260.81950.74230.65500.73630.99070.95730.92350.87520.81220.650S19200.99840.99530.98840.97500.95210.91700.86820.80550.730210.99930.99770.99900.99390.98590.97120.94690.96730.91080.94180.96330.86150.7991220.99970.99700.99240.98330.90470.855123240.99991.00000.99950.99980.99850.99930.99600.99800.99070.99500.98050.98880.93670.95940.89860.9310.9650.9777250.99990.99970.99900.99740.99380.98690.97482627280.99950.99980.99990.99250.99590.99780.99890.9710.98270.98921.00000.99990.99870.99940.99970.99670.99830.98480.99120.99991.00000.99910.99300.99730.9986291.00000.99090.99960.9941300.99990.99080.99940.996311.00000.99970.99930.99820.99991.0000320.99090.99960.9900330.99990.99980.99900.99980.900341.00000.9999351.0000360.99901.00003710.011.012.013.014.015.016.017.018.0

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Description: 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 nex

Given Data: Let the number of mice per acre be variable X X~ Poi(16)

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Probability

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.

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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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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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.

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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