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2. A team of wildlife ecologists is interested in the effectiveness of an antifer- tility drug in controlling the growth of pigeon populations. To measure effectiveness, they will estimate the size of the population this year and compare it with the estimated size for a previous year. A large trap is constructed for the experiment. The trap is then baited with a corn feed containing a fixed amount of the drug. An initial sample of t = 120 pi- geons is trapped and allowed to eat the medicated feed. Each bird is then tagged on its leg and released. One week later, they trap a second sample of 50 pigeons. Of these 20 of them have tags. The next day, a third sample of 50 pigeons is trapped. Of these 18 of them have tags. The second sam- ple of 50 pigeons is not released before the trapping of the third sample. Estimate the size of the pigeon population and place a bound on the error of estimation.

2. A team of wildlife ecologists is interested in the effectiveness of an antifer- tility drug in controlling the growth of pigeon populations. To measure effectiveness, they will estimate the size of the population this year and compare it with the estimated size for a previous year. A large trap is constructed for the experiment. The trap is then baited with a corn feed containing a fixed amount of the drug. An initial sample of t = 120 pi- geons is trapped and allowed to eat the medicated feed. Each bird is then tagged on its leg and released. One week later, they trap a second sample of 50 pigeons. Of these 20 of them have tags. The next day, a third sample of 50 pigeons is trapped. Of these 18 of them have tags. The second sam- ple of 50 pigeons is not released before the trapping of the third sample. Estimate the size of the pigeon population and place a bound on the error of estimation.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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2. A team of wildlife ecologists is interested in the effectiveness of an antifer- tility drug in controlling the growth of pigeon populations. To measure effectiveness, they will estimate the size of the population this year and compare it with the estimated size for a previous year. A large trap is constructed for the experiment. The trap is then baited with a corn feed containing a fixed amount of the drug. An initial sample of t = 120 pi- geons is trapped and allowed to eat the medicated feed. Each bird is then tagged on its leg and released. One week later, they trap a second sample of 50 pigeons. Of these 20 of them have tags. The next day, a third sample of 50 pigeons is trapped. Of these 18 of them have tags. The second sam- ple of 50 pigeons is not released before the trapping of the third sample. Estimate the size of the pigeon population and place a bound on the error of estimation.
Transcribed Image Text:2. A team of wildlife ecologists is interested in the effectiveness of an antifer- tility drug in controlling the growth of pigeon populations. To measure effectiveness, they will estimate the size of the population this year and compare it with the estimated size for a previous year. A large trap is constructed for the experiment. The trap is then baited with a corn feed containing a fixed amount of the drug. An initial sample of t = 120 pi- geons is trapped and allowed to eat the medicated feed. Each bird is then tagged on its leg and released. One week later, they trap a second sample of 50 pigeons. Of these 20 of them have tags. The next day, a third sample of 50 pigeons is trapped. Of these 18 of them have tags. The second sam- ple of 50 pigeons is not released before the trapping of the third sample. Estimate the size of the pigeon population and place a bound on the error of estimation.
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