the expected number of flips to see 2 heads from a series of fair coin tosses
Quantitative Researcher Intern Interview Questions
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A,B and C choose a integer between 1 and 100 in turn to minimize the difference between the integer they choose and an unknown uniformly distributed random integer. B knows what A chooses and C knows what A,B choose. What is A's optimal strategy?
First round: basic probability, combinatorics. A bear wants to catch 3 fish from a river. when he has caught 3 fish, he'll leave. when a fish comes, there is a 1/2 chance he'll catch it. what's the probability that the 5th fish will not be caught?
1. code the n term of Fibonacci, using iteration, then use recursion only, then use recursion and memorization. What is the time complexity and space complexity for all three cases. 2. Linear regression of X and y, X is n-dimensional and y is 1-dimensional, how would beta, standard error of beta, r2, and t-stat of beta change if you duplicate the data. Can you explain the results intuitively? 3 London has p probability of rain. You have 3 friends, they have 2/3 probability of telling truth, and 1/3 probability lying. Suppose all friends tell you rain, what is the probability it rains? 4. Leetcode
Chance that a student passes the test is 10%. What is the chance that out of 400 students AT LEAST 50 pass the test? Check the closest answer: The offered answers were 5%, 10%, 15%, 20%, 25%.
I may fill some phone interview questions, maybe not.
A, B and C are time series and the following rhos represent their correlation coefficients. rho(A,B)=0.7, rho(B,C)=0.8, what is rho(A,C)? Why the correlation matrix is positive semi-definite?
You keep rolling a fair die with 6 sides. What is the average number of rolling to obtain consecutive six 6s for the first time?
How to generate a gaussian distribution with rand()
Give you a fair die, how to create a event with probability 1/7
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