CitadelAnalystQuantitative AnalystQuestion #69
What is the expected value of a fair six-sided die?
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What is covariance?Write a function to calculate Fibonacci numbers using recursion.Suppose you roll two fair six-sided dice. What is the probability that the sum of the two dice is equal to 8?How would you run a Monte Carlo simulation in Python to predict the probability of obtaining 4 out of 6 coins as heads, without using for loops?1. You have two fair dice. What is the probability that their sum is a prime number?
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3. What is 17 multiplied by 23?
4. What is the square root of 2907 to two decimal places?
5. If the S&P moves 0.3% and AAPL's beta is 1.2, what is AAPL's expected move?
6. Write a function to find arbitrage opportunities in a currency exchange matrix.
7. Given real-time trade data, design an algorithm to detect wash trading.
8. Implement a fast moving median calculator for streaming data.
9. How would you arbitrage S&P 500 futures versus the underlying basket?
10. What happens to options prices during earnings announcements?
11. Design a mean-reversion strategy for ETF pairs trading.
12. 100 people wear either red or blue hats. Each person can see others' hats but not their own. They must all simultaneously guess their own hat color. They can plan beforehand. How do they maximize group survival?
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