Question: Hi, I need help explaining the following question. Thanks in advance Suppose a pair of critics rate a collection of N = 1000 movies giving

Hi, I need help explaining the following question. Thanks in advance

Hi, I need help explaining the following question. Thanks in advance Suppose

Suppose a pair of critics rate a collection of N = 1000 movies giving a numerical score for each movie. A reviewer cannot give two movies the same score. One critic is generally more positive than the other, so these scores are reported as percentiles. That is, each movie gets a score in [0,1] from each reviewer which is the overall fraction she judges no better than the current movie. Denote the reviewers' percentile scores as whyi, i: 1,... ,N. ((3) Is it possible that one reviewer always gives a higher percentile score than the other reviewer? Either give an example showing this is possible or argue that it is impossible

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