If you are playing tennis and are at deuce with your rival, how would you choose to proceed? There are two options: keep playing deuce rule until you or your rival wins. Or you play 3 mini points rule, who win 2 points wins the game. Assume you winning rate is 0.7 i.i.d at each point, which rule would you pick?
What can we deal with OLS when high dimension, high correlation and some other flaws in data ?
Given three bowls, one with two blue balls, one with two red balls, and one with a red ball and a blue ball, what is the probability of pulling a blue ball from the same bowl given that you have already pulled one blue ball from that bowl?
If you had an array of 1 million values and you had to remove duplicates, how would you do it?
the expected number of flips to see 2 heads from a series of fair coin tosses
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?
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%.
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
How to generate a gaussian distribution with rand()
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