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All Questions
Perfect Samples
Part 1

Assume that you are taking samples of size ss from a population. For each sample, let pp represent the probability that every point in that sample is an inlier and let ee represent the proportion of points in the sample that are outliers. Derive an equation in terms of ss, pp and ee, to calculate the number of samples (NN) needed in order to be 99% confident that there it at least one sample drawn that contains no outliers.