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This is a medium difficulty Machine Learning question, commonly asked during Technical Screen rounds at Point72.

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This question is commonly asked for Machine Learning Engineer candidates at Point72 during technical interviews.

Compute Gaussian Probability and Regression Coefficients

Last updated: May 2, 2026

Quick Overview

This question evaluates probabilistic reasoning with Gaussian variables and parameter estimation in ordinary least squares regression, covering deriving probabilities for linear combinations of standard normals and computing regression coefficients via linear algebra.

Point72

Feb 25, 2026, 12:00 AM

Machine Learning Engineer

Technical Screen

Machine Learning

You are given two independent standard normal random variables, X and Y.

Compute P[X > 3Y].
In ordinary linear regression with design matrix X in R^{n x p}, response vector y in R^n, and coefficient vector beta in R^p, how do we estimate beta?
If n is much larger than p, how can beta be computed efficiently and exactly?

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