What is the probability of an even number of heads when flipping n coins?
Senior Quantitative Research Analyst Interview Questions
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A questionnaire, a takehome challenge and lots of stats questions. Know well linear regression and logistic regression. For instance, they ask you to derive the OLS formula on the board.
The brainteaser was a variation of the 100 coins and 5 pirates. There were 6 pirates instead. So the premise is that there are 6 pirates and you are the captain. You must divide the coins. If 50% of the people rebel against your allocation, they kill you and the process starts again. What is the optimal allocation?
How many N in [100,400] s.t. N^N is perfect square
Maximizing Sharpe ratio related question
Suppose you are given a cube, you break the cube in 3X3X3 pieces. However, before doing so, all 6 faces of the cube were colored green. All the other faces not colored green will be white after breaking it up. You randomly pick a small cube and see one face which is green. What is the probability that the cube is an edge cube?
You have a total of 4 investments to make of 100 dollars. You can either invest in a stock which if it goes up in value, you gain an additional 100 dollars, if it goes down, you lose 50 dollars. Or you can bet on whether the stock will go up or down at the casino, where you either win 100 if you're right or lose everything if not. Can you devise a strategy where you will always make a profit?
A game where two players each throw two dice each. If any one die matches the other, you win a dollar. If there is no match, you lose a dollar. Would you play this game or not and why?
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?
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