Quantitative Researcher Interview Questions

4,818 quantitative researcher interview questions shared by candidates

If you toss a fair coin N times, what is probability that you will get an even number of heads? Follow up: now what if you have N - 1 fair coins, and the Nth coin is not fair, but lands on heads with probability p?
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Quantitative Researcher

Interviewed at Citadel Securities

4
Mar 21, 2024

If you toss a fair coin N times, what is probability that you will get an even number of heads? Follow up: now what if you have N - 1 fair coins, and the Nth coin is not fair, but lands on heads with probability p?

At some point in time there are N cars moving on the same direction on a one-lane road. Their speeds form a random sample of some continuous distribution. Each car will move at its current speed unless it reaches another (slower) car, at which point it will slow down to the speed level of the slower car. What is the expected number of car clusters that will be observed in the long run?
avatar

Quantitative Analyst

Interviewed at Knight Capital

3.4
Apr 17, 2015

At some point in time there are N cars moving on the same direction on a one-lane road. Their speeds form a random sample of some continuous distribution. Each car will move at its current speed unless it reaches another (slower) car, at which point it will slow down to the speed level of the slower car. What is the expected number of car clusters that will be observed in the long run?

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