Round 1: 6 OA problems 40 minutes which had probability and linear algebra. Being familiar with matrix manipulation, Poisson PDF, recursion relations is more than enough. Round 2: 30 min CV review and motivation as to why QR rather than doing research in academia. Next 30 minutes: 4 probability/brain-teaser/linear algebra/market making. The probability/brainteaser problems are of style that are seen in dynamic programming i.e. recursive relation but no live coding was asked.
What is the minimal natural number that ends with digit 4 such that moving its last digit to the first position (i.e. 1234 => 4123) increases it exactly fourfold? Answer:___
Steps tetrahedron, expectations
Derive formula for linear regression
Triangle ABC has sides of length 45, 60 and 75. A point X is placed randomly and uniformly inside the triangle. What is the expected value of the sum of perpendicular distance from point X to this triangle’s three sides
The expectation of rolling the dice and get 2 consecutive 6
What happens if you double your sample when you do regression? What happens to the coefficients? What happens to R^2 and p values.
What do you usually do beside studying Mathematics?
A deck of 18 custom playing cards is numbered from 1 to 18. A card is drawn 6 times with replacement. If X is the number of draws that result in a prime number, what is E(X)?
Two points are uniformly distributed around the circumference of a unit circle. What is the expected value of the distance between them?
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