there are 20 marked whales
there are 113 whales counted
and 19 marked whales counted
what would be the best estimate for the population
The best estimate for the population of whales would be the total number of whales counted divided by the proportion of marked whales within the counted sample.
Proportion of marked whales within the counted sample = (number of marked whales counted / total number of whales counted)
= (19 / 113)
Estimated population = (total number of whales counted) / (proportion of marked whales within the counted sample)
= 113 / (19 / 113)
= 113 x (113 / 19)
= 113 x 5.947
≈ 674
Therefore, the best estimate for the population of whales is approximately 674.
wrong
Apologies for the error. Let's recalculate the best estimate for the population of whales:
The proportion of marked whales within the counted sample is determined by dividing the number of marked whales counted by the total number of whales counted:
proportion of marked whales within the counted sample = 19 / 113
Now, we can estimate the population:
Estimated population = (total number of whales counted) / (proportion of marked whales within the counted sample)
Estimated population = 113 / (19 / 113)
Estimated population = 113 / (1 / 6)
Estimated population = 113 x 6
Estimated population ≈ 678
Therefore, the best estimate for the population of whales is approximately 678.