Quant Interview Question #quant

quantprof · Beginner ·📐 ML Fundamentals ·2mo ago

Key Takeaways

Solving a quant interview question involving normally distributed random variables X and Y with given means and variances, and finding the probability that the ratio X/Y lies between 1 and root 3.

Full Transcript

Let X be a normally distributed random variable with mean zero and variance two. Similarly, let Y be another normal random variable with mean zero and variance one. Assume that X and Y are independent. What is the probability that the ratio X over Y lies between one and root three? Post your answers in comments.

Original Description

Can you solve this quant interview question?
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This video teaches how to solve a quant interview question involving normally distributed random variables and finding the probability of a specific ratio. The solution requires applying statistical concepts and probability theory.

Key Takeaways
  1. Define the problem and identify the given information
  2. Determine the distribution of the ratio X/Y
  3. Calculate the probability that the ratio X/Y lies between 1 and root 3
  4. Use statistical concepts and formulas to solve the problem
💡 The ratio of two independent normally distributed random variables follows a specific distribution, which can be used to calculate the desired probability.

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