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Junior Quantitative Research Analyst Interview Questions

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Consider a probability distribution on the plane where the probability that a random line passes through a convex region is proportional to its perimeter. Now say there are two equilateral triangles based on opposite sides of a unit square facing away from each other. What is the conditional probability that a random line that passes through one triangle also passes through the other triangle ?
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Quantitative Engineer

Interviewed at Goldman Sachs

3.7★
Jan 10, 2020

Consider a probability distribution on the plane where the probability that a random line passes through a convex region is proportional to its perimeter. Now say there are two equilateral triangles based on opposite sides of a unit square facing away from each other. What is the conditional probability that a random line that passes through one triangle also passes through the other triangle ?

Consider the random process where you keep drawing samples from [0,1] uniformly at random as long as the current sample is larger than the previous sample. What is the Expected value and the Variance of the number of samples you draw.
avatar

Quantitative Engineer

Interviewed at Goldman Sachs

3.7★
Jan 10, 2020

Consider the random process where you keep drawing samples from [0,1] uniformly at random as long as the current sample is larger than the previous sample. What is the Expected value and the Variance of the number of samples you draw.

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