Studies of the size and range of wild animal populations often involve tagging observed individual animals and recording how many times each is caught in a trap (from which it is then released back into the wild). The dataset presented in Table 3 consists of the numbers of times each of n = 334 wood mice were caught in a particular trap (over a two-year time period). %3D .... .. Table 3 Numbers of trappings of wood mice Times trapped Frequency 1 2 3 4 5 6 7 8 71 59 41 39 20 26 19 12 9. Times trapped 10 Frequency 11 12 13 14 15 16 17 18 8. 4 9. 2 1 3 3 The geometric distribution with parameter p is a good model for these data. (i) What is the maximum likelihood estimator of p for a geometric model? (ii) What is the maximum likelihood estimate of p for the data in Table 3? nited Kin adom) O Focus
Studies of the size and range of wild animal populations often involve tagging observed individual animals and recording how many times each is caught in a trap (from which it is then released back into the wild). The dataset presented in Table 3 consists of the numbers of times each of n = 334 wood mice were caught in a particular trap (over a two-year time period). %3D .... .. Table 3 Numbers of trappings of wood mice Times trapped Frequency 1 2 3 4 5 6 7 8 71 59 41 39 20 26 19 12 9. Times trapped 10 Frequency 11 12 13 14 15 16 17 18 8. 4 9. 2 1 3 3 The geometric distribution with parameter p is a good model for these data. (i) What is the maximum likelihood estimator of p for a geometric model? (ii) What is the maximum likelihood estimate of p for the data in Table 3? nited Kin adom) O Focus
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Author:Amos Gilat
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Studies of the size and range of wild animal populations often involve tagging observed
individual animals and recording how many times each is caught in a trap (from which it is
then released back into the wild). The dataset presented in Table 3 consists of the numbers
of times each of n = 334 wood mice were caught in a particular trap (over a two-year time
period).
Table 3
Numbers of trappings of wood mice
Times trapped
Frequency
1
2
3
4
5
6
7
8
9.
71
59
41
39
20 26
19
12
9.
Times trapped 10
Frequency
11
12
13
14
15
16
17
18
8
4
9.
2
1
3
3
3
The geometric distribution with parameter p is a good model for these
data.
(i) What is the maximum likelihood estimator of
for a geometric
model?
(ii) What is the maximum likelihood estimate of p for the data in Table 3?
nited Kingdom)
IT
E Focus
MacBook"
Transcribed Image Text:A
Aa v
Ap
AaBbCcDdEe
AaBbCcDdEe
AaBbCcDc
A v Pv A v
三=| m<
Normal
No Spacing
Heading 1
Studies of the size and range of wild animal populations often involve tagging observed
individual animals and recording how many times each is caught in a trap (from which it is
then released back into the wild). The dataset presented in Table 3 consists of the numbers
of times each of n = 334 wood mice were caught in a particular trap (over a two-year time
period).
Table 3
Numbers of trappings of wood mice
Times trapped
Frequency
1
2
3
4
5
6
7
8
9.
71
59
41
39
20 26
19
12
9.
Times trapped 10
Frequency
11
12
13
14
15
16
17
18
8
4
9.
2
1
3
3
3
The geometric distribution with parameter p is a good model for these
data.
(i) What is the maximum likelihood estimator of
for a geometric
model?
(ii) What is the maximum likelihood estimate of p for the data in Table 3?
nited Kingdom)
IT
E Focus
MacBook
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