The probability of rolling two dice. 6, 6 gets 100, 6, not 6 loses x, and other cases you redo the dice rolling. When should you play the game?
Quantitative Research Internship Interview Questions
815 quantitative research internship interview questions shared by candidates
You play a game with someone, the rule is to take turns to put a quarter on a round table ( can be any size, but must be of symmetrical shape). You are trying to cover the table up with quarters, you lose when there's no place for you to put down the quarter. Should you be the first person to play ?
1. How do you simulate stock price with VBA? 2. Std.=? 3. VaR=? 4. Three doors, it takes you 1 minute to go through the first door, it also takes you 1 minute to go through the second door, it make your speed slow down 1/2 after going through third door. Only the first door is the right way to go out. You choose each door with the equal probability. How much time will you go out in expectation? 5. You have n 1-meter long ropes, and you could connect two nodes together n-1 times. What is the probability for you to finally get a whole n-meter long rope without rings?
Data cleaning within a limited time
given a function that generates a random integer between 1:5 , how can we generate a random integer 1:7
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.
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?
What is fourier transform of Guassian ?
given a series of stock prices, describe an algorithm to find the best buy and sell point. ( only one buy and one sell, buy before sell)
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