Consider a case where 400 fish are tagged and released during a first outing. During a second outing in the same area, 400 fish are again caught and released, of which half are already tagged. Estimate N, the total number of fish in the entire sampling area.

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Consider a case where 400 fish are tagged and released during a first outing. During a second outing in the same area, 400 fish are again caught and released, of which half are already tagged. Estimate N, the total number of fish in the entire sampling area.

of the animals tagged during
the first outing are likely to be caught again during the second outing. Based on the number of
tagged and the fraction caught twice, the total number of animals in the area can be estimated.
Do a little research and find the titles of three studies that use 'catch and release' to estimate
the number of wildlife in an area. Where did they occur? What wildlife were they counting?
Provide citations for each of the studies you locate, include any URL and page title you used for
finding these studies online.
3. Consider a case where 400 fish are tagged and released during a first outing. During a second
outing in the same area, 400 fish are again caught and released, of which half are already
tagged. Estimate N, the total number of fish in the entire sampling area.
Carefully explain your reasoning in determining your estimate of N in item #3.
Consider a case where 400 fish are tagged and released during a first outing. During a second
outing in the same area, 400 fish are again caught and released, of which one fourth are already
tagged. Estimate N, the total number of fish in the entire sampling area.
Carefully explain your reasoning in determining your estimate of N in item #5.
4.
5.
6.
7. Generalize your results from items #3 through #6 by letting p be the fraction of tagged fish that
are caught during the second outing. Find a formula for the function N=f(p) that relates the
total number of fish, N, to the fraction tagged during the second outing, p.
8.
Create a detailed graph for the function you found in item #7.
9. What is the domain for your graph in item #8?
10. What is the range for your graph in item #9?
11. Using one of the studies you found in item #2, compare their methodology to the methodology
you used in items #3-#10. How closely did it follow the procedures and theory outlined in this
Od
ns: On Accessibility: Good to go
O Search the web
hp
@
W
Focus
Im
Transcribed Image Text:of the animals tagged during the first outing are likely to be caught again during the second outing. Based on the number of tagged and the fraction caught twice, the total number of animals in the area can be estimated. Do a little research and find the titles of three studies that use 'catch and release' to estimate the number of wildlife in an area. Where did they occur? What wildlife were they counting? Provide citations for each of the studies you locate, include any URL and page title you used for finding these studies online. 3. Consider a case where 400 fish are tagged and released during a first outing. During a second outing in the same area, 400 fish are again caught and released, of which half are already tagged. Estimate N, the total number of fish in the entire sampling area. Carefully explain your reasoning in determining your estimate of N in item #3. Consider a case where 400 fish are tagged and released during a first outing. During a second outing in the same area, 400 fish are again caught and released, of which one fourth are already tagged. Estimate N, the total number of fish in the entire sampling area. Carefully explain your reasoning in determining your estimate of N in item #5. 4. 5. 6. 7. Generalize your results from items #3 through #6 by letting p be the fraction of tagged fish that are caught during the second outing. Find a formula for the function N=f(p) that relates the total number of fish, N, to the fraction tagged during the second outing, p. 8. Create a detailed graph for the function you found in item #7. 9. What is the domain for your graph in item #8? 10. What is the range for your graph in item #9? 11. Using one of the studies you found in item #2, compare their methodology to the methodology you used in items #3-#10. How closely did it follow the procedures and theory outlined in this Od ns: On Accessibility: Good to go O Search the web hp @ W Focus Im
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