Quant Researcher Interview Questions

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If WHITE=000,RED=101,BLUE=110, and PURPLE=100, then what three-digit string corresponds to YELLOW? Suppose I have a line of length L. I now select two points at random along the line. What is the expectation value of the distance between the two points, and why?
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Quant Researcher

Interviewed at WorldQuant

4.2
Aug 16, 2025

If WHITE=000,RED=101,BLUE=110, and PURPLE=100, then what three-digit string corresponds to YELLOW? Suppose I have a line of length L. I now select two points at random along the line. What is the expectation value of the distance between the two points, and why?

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