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Suppose that a simple random sample of n = 5 plots is selected from a study area of N = 100 plots and that the numbers of animals detected in the five plots are 10, 7, 0, 0, and 5, but that the probability of detection for any animal in a selected plot is p = 0.80. Estimate the total number of animals in the study region and estimate the variance of the estimator.

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