There are a collection of particles. You are given a string of 'L' and 'R's, where 'L' denote a left moving particle and 'R' denote a right moving particle. The moving speed is given as another parameter. Multiple particles could stay on the same position. Give the animation of the moving particles.
X, Y iid N(0,1), p(X|X+Y=1)
keep throw a coin if two head A will win if first is head second is tail B will win, keep throwing until have a winner. who has better chance to win?
Rotate a matrix counter-clockwise
Let X and Y be random variables with standard deviation a and b. What are the bounds of Var(X + Y)? Pile of 100 coins, 99 fair 1 double heads. Pick random coin, flip 10 times, get 10 heads. What is the probability the coin is double headed coin? Dice sum games.
You are given an array of integers, A1, A2, ..., An, including negatives and positives, and another integer S. Now we need to find three different integers in the array, whose sum is closest to the given integer S. If there exists more than one solution, any of them is ok. Is there an algorithm to find the three integers in O(n^2) time?
Would you prefer to have new products through innovation or focus on your current main products? Please provide me some examples from your prior experiences to answer this question.
Please tell me what you have done previously related to quantitative analysis?
Count the number of A's friends' friends who are also A's friends. And some problems related to their business, ask about the approach of solving such problems.
Calculate var(x) given that the data points distribute uniformly on a 3D sphere.
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