Expected length of the longest segment of a unit-length stick broken in 2 places.
Senior Quantitative Research Analyst Interview Questions
4,871 senior quantitative research analyst interview questions shared by candidates
What is the probability that three random points on a unit circle would form a triangle that includes the center of the unit circle?
Some sample questions: Q. You have a biased coin in which the probability of getting a head is 51%. Create an event out of this coin which has a probability of 25%. Q. There is a calculator in which all digits (0 to 9) and the basic arithmetic operators (+, -, *, /) are disabled. However other scientific functions are operational like exp, log, sin, cos, arc tan, etc. The calculator currently displays a 0. Convert this first to 2 and then to 3. Q. There are five points in an equilateral triangle of side length 1. Prove that there are two points with distance less than 1/2.
Let's play another game: There are 100 balls, you and I pick the balls in turn, for each round you can pick 2^k balls(k=0,1,2,...). Do you have a strategy to win?
There are N(sufficiently large) numbers that may repeat and x repeats more than N/2 times. Try to find an algorithm with time O(N) and space O(1) to find x.
Build a tree where the parent can have any number of children. Find the coefficient of a quadratic polynomial if you know the value of y when you plug in any x.
Data cleaning within a limited time
What is the difference between GNB and logistic regression? Which one would you opt under different circumstances?
You have r red balls, w white balls in a bag. If you keep drawing balls out of the bag until the bag now only contains balls of a single color (ie you run out of a color) what is the probability you run out of white balls first? (in terms of r and w).
Game: I throw coin 5 times, you throw it 4 times, if I have more heads than you, I win, otherwise you win. What is the chance you will win?
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