Quantitative Researcher Intern Interview Questions

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Choose a point randomly on a unit sphere's surface. The point's coordinate is denoted as (x,y,z). What is Var(X)? A person conducts a random walk starting at point 0. He has 1/2 probability moving 1 unit in the positive direction and 1/2 probability moving 1 unit in the negative direction. What is the probability he reaches +10 before he reaches -5?
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Quantitative Research Intern

Interviewed at Five Rings

3.7
Oct 16, 2021

Choose a point randomly on a unit sphere's surface. The point's coordinate is denoted as (x,y,z). What is Var(X)? A person conducts a random walk starting at point 0. He has 1/2 probability moving 1 unit in the positive direction and 1/2 probability moving 1 unit in the negative direction. What is the probability he reaches +10 before he reaches -5?

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