if there are 11 mared whales,

Question

52 intotal whales counted,
and 2 marked whales counted
what is the best estament of whale population?

Answer 1

To estimate the whale population, we can use the concept of capture-recapture estimation.

Let's assume that the proportion of marked whales in the entire population is the same as the proportion of marked whales in the counted sample.

So, we can set up the following proportion:

(# of marked whales / Total whale population) = (# of marked whales counted / Total whales counted)

Using the given information:
2 / Total whale population = 2 / 52

Simplifying the proportion:
Total whale population = (2 * 52) / 2 = 52

Therefore, the best estimate of the whale population is 52.

Answer 2

wrong

Answer 3

Apologies for the incorrect calculation. Let's try the estimation again.

Based on the information provided, we have a sample of 52 whales counted, with 2 of them being marked. We can set up the following proportion:

(Marked whales in entire population / Total whale population) = (Marked whales counted / Total whales counted)

Substituting the given values:
(11 / Total whale population) = (2 / 52)

To find the best estimate for the total whale population, we can cross multiply:

2 * Total whale population = 11 * 52

Simplifying the equation:

Total whale population = (11 * 52) / 2 = 286

Therefore, the best estimate of the whale population is 286.

Answer 4

16 whales marked
total count of whales 156
total marked whales counted 3

Answer 5

To estimate the whale population, we can use the capture-recapture method.

Let's assume that the proportion of marked whales in the entire population is the same as the proportion of marked whales in the counted sample.

So, we can set up the following proportion:

(Marked whales in entire population / Total whale population) = (Marked whales counted / Total whales counted)

Using the given information:
16 / Total whale population = 3 / 156

Cross-multiplying the proportion:
3 * Total whale population = 16 * 156

Simplifying the equation:
Total whale population = (16 * 156) / 3 = 832

Therefore, the best estimate for the whale population is 832.

Answer 6

15
171
15

Answer 7

To estimate the whale population using the capture-recapture method, we can set up the following proportion:

(Marked whales in entire population / Total whale population) = (Marked whales counted / Total whales counted)

Using the given information:
15 / Total whale population = 15 / 171

Cross-multiplying the proportion:
15 * Total whale population = 15 * 171

Simplifying the equation:
Total whale population = (15 * 171) / 15 = 171

Therefore, the best estimate for the whale population is 171.

Answer 8

33
235
20

Answer 9

To estimate the whale population using the capture-recapture method, let's set up the corresponding proportion:

(Marked whales in entire population / Total whale population) = (Marked whales counted / Total whales counted)

Using the given information:
33 / Total whale population = 20 / 235

Cross-multiplying the proportion:
20 * Total whale population = 33 * 235

Simplifying the equation:
Total whale population = (33 * 235) / 20 ≈ 386.475

Therefore, the best estimate for the whale population is approximately 386.