Q: If you have a chance of winning a $1 for every head that is flipped, how much will you make for 4 tosses? Then, if you were given the option to flip one of the tails one more time, what does your expected value of winnings climb to? Vice-versa.
Quantitative Analyst Intern Interview Questions
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At a school fair, you stumble across three children playing a game. The game involves four jars that each contain an equal number of marbles of each of six colors: blue, red, yellow, green, orange, and purple. In a turn, one draws a marble at random from each jar and the object of the game is to draw four marbles of the same color. The four marbles are then returned to their original jars and the turn ends. You observe each of the three children play a turn. The first child draws 2 green marble, 1 blue marbl, and 1 red marble. The second child draws 3 red marbles, and 1 yellow marble. The third child draws 4 blue marbles (and wins). In expectation, the third child has played M times as many rounds of this game as the second child has, and the second child has played N times as many rounds of this game as the first child has. Compute M+N.
Regression assumptions, prob and ML questions.
How to calculate the length of a union of n intervals. For example, the union of [1.5, 2] and [2.5, 3] is [1.5, 2] U [2.5, 3], which has length 1. The union of [1.5, 3] and [2, 2.5] is [1.5, 3], which has length 1.5.
4) You have a 3D cube. You start at (0,0,0), and can make the steps (0,0,1), (0,1,0), (1,0,0). How many paths are there from (0,0,0) to (3,3,3)?
price of call option
Sum of all prime numbers between 1 and 100 that are 1 less than a multiple of 5 and 1 greater than a multiple of 4.
logic questions, math questions, sorting coding question, logic and reasoning assessment
What are p values. What would happen if you double the points in the dataset and its effect on p values and other metrics. Some brainteasers. Some probability questions P(x>0|x+y>0)... X and Y are iid from standard normal
1. How to find rows that contains missing values for a matrix using matlab? 2. How to calculate simple moving average with moving window n for a vector X (for example, 100*1) using matlab (cannot use any build in function such as tsmovavg)? 3. Are you familiar with different optimization function in Matlab? 4. Are you familiar with GARCH model, why use ARCH/GARCH model? What kind of stochastic process you have learned? Do you use any numerical methods to solve PDE? 5. You have a coin, you don't know whether it is a fair coin or a biased one. The probability to get a head follows a uniform distribution with (0,1). Given the first toss is a head, what is the probability that the second toss is also a head?
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