Given a random generator that produces a number 1 to 5 uniformly, write a function that produces a number from 1 to 7 uniformly or something like that.
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16p + 1 = x^3, and p is a prime number. What is x?
Given three tables, user_dimension (user_id and account_id), account_dimension (account_id and paying_customer), and download_facts (date, user_id, and downloads), find the average number of downloads for free vs paying customers broken out by day.
SQL part1 Question # 1 : you have the following table - User_id , action (post, edit, cancel) , date == > what is the post rate Question # 2 : you have also the following table (active users) - User_id , country , active , date == > What is the average post rate for yesterday for all active users by country
How can you tell if a given coin is biased?
Lets say the population on Facebook clicks ads with a click-through-rate of P. We select a sample of size N and examine the sample's conversion rate, denoted by hat{P}, what is the minimum sample size N such that Probability( ABS(hat{P} - P) < DELTA ) = 95%. In other words (this is my translation), find the minimum sample size N such that our sample estimate hat{P} is within DELTA of the true click through rate P, with 95% confidence.
Given 25 swimmers and a pool with five lanes, what is the minimum number of heats needed to determine the three fastest swimmers in the group?
If you have 10 bags of marbles with 10 marbles each and one bag has marbles that weigh differently than the others, how would you figure it out from one weighing
Pick up a coin C1 given C1+C2 with probability of trials p(h1)=.7, p(h2)=.6 and doing 10 trials. And what is the probability that the given coin you picked is C1 given you have 7 heads and 3 tails?
Given two binary strings, write a function that adds them. You are not allowed to use any built in string to int conversions or parsing tools. E.g. Given "100" and "111" you should return "1011". What is the time and space complexity of your algorithm?
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