The approximate size of the population of trout in the 1,000-acre lake would be 1460 trout.
Estimation of population size
The total area of the lake covered by the population is 1,000 acres. Three 50-acre area were sampled and the results were as follows:
Sample 1: 88 trouts per 50-acre
Sample 2: 80 trouts per 50-acre
Sample 3: 57 trouts per 50-acre
The average number of trouts per 50-acre of the lake can then be estimated as:
88+80+51/3 = 73 trouts per 50 acres
If the average number of trouts per 50-acre is 73, the population size of trout in the 1,000-acre can be estimated as follows:
50 acre = 73 trouts
1000 acre = 73 x 1000/50
= 1469 trouts.
In other words, the approximate population size of the trout in the lake is 1460 trout.
More on population size can be found here: https://brainly.com/question/23433122
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