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Research Associate Interview Questions


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There is a game where you have three coins, and your opponent has three coins. You both flip your coins at the same time. If the number of heads you have matches the number of heads he has, then you win $2. Otherwise you lose $1. Do you want to play this game?

4 Answers

No, the expected win from the game is negative

Here's my solution. We consider 2 sequences (outcomes for the players). Since these sequences do not depend on each other, the probability that they will have the same number of heads is prob(no heads for player 1) * prob(no heads for player 2) + ... + prob(3 heads for player 1) * prob(3 heads for player 2) = 2* (1/8)^2 + 2 * (3/8)^2 = 20/64 = 5/16 (since prob of having no heads = prob of having 3 heads and prob of having 1 head = prob of having 2 heads). Hence the prob that the players will have different number of heads is 11/16. So the expected value of this game is (5/16)*2 + (11/16)*(-1) = -1/16. Hence we should not play this game.

you win 2 dollars with 25% probability and lose one with 75%. Therefore you expect to lose .25 dollars any time

Tell me about yourself?

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In the future, will you be interested in applying for a graduate program here in Rutgers?

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What are your future plans with Abelson-Taylor?

1 Answer

What is your #1 weakness

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How did you decide on studying physics?

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Why do you want to move to the Boston area?

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give a situation where you felt uncomfortable

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Something related to a project I did before.

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How would you describe yourself

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