All Questions
Perfect Samples
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Parts
Part 1
Assume that you are taking samples of size from a population. For each sample, let represent the probability that every point in that sample is an inlier and let represent the proportion of points in the sample that are outliers. Derive an equation in terms of , and , to calculate the number of samples () needed in order to be 99% confident that there it at least one sample drawn that contains no outliers.