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? i) What is the maximum likelihood estimate of p for the data in Table 3? rn fnly

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1,c
(c) 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).
a ase prodde
Table 3 Numbers of trappings of wood mice
Times trapped
Frequency
4
6.
8.
9.
71
59
41
39
20
26
19
12
9.
Times trapped 10
Frequency
11
12
13
14
15
16
17
18
4
6.
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 p for a geometric
model?
ii) What is the maximum likelihood estimate of p for the data in
Table 3? n fnly
e interval thai you ound
speriants
Transcribed Image Text:(c) 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). a ase prodde Table 3 Numbers of trappings of wood mice Times trapped Frequency 4 6. 8. 9. 71 59 41 39 20 26 19 12 9. Times trapped 10 Frequency 11 12 13 14 15 16 17 18 4 6. 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 p for a geometric model? ii) What is the maximum likelihood estimate of p for the data in Table 3? n fnly e interval thai you ound speriants
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