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Hard Difficulty

Hard questions require advanced understanding and critical thinking. Here, your problem-solving skills are key, as these questions often involve complex scenarios needing in-depth analysis and well-structured responses.

Statistics question

Statistics questions assess your understanding of data analysis principles. Show your knowledge of probability, statistical inference, experimental design, and how you apply quantitative methods to interpret data and draw valid conclusions.

Here's a Hint

First explain how to generate Bernoulli random variables in NumPy before addressing the column normalization requirement and potential edge cases like zero-sum columns.

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