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This lecture covers the probabilistic analysis of the hiring problem, where candidates are interviewed in random order and hired based on their height compared to the current best. It delves into worst-case analysis, calculating the expected number of hires over all candidate permutations. The concept of Indicator Random Variables is introduced to analyze the hiring process, determining the expected number of hires using a clever method. The lecture also explores a simple example with coin flips to illustrate the application of indicator variables in determining expected outcomes.
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