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Quantitative Research Internship Interview Questions

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4,818 quantitative research internship interview questions shared by candidates

a conditional probability question, but the problem statement had no information about the prior knowledge. Therefore, although the problem was very simple, it is unsolvable mathematically. Question: you test for cancer in a machine that has the following specification; if you have cancer then it may reports 95%+ve or 5%-ve. The next day you get the results that you are -ve, do you celebrate?
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Quantitative Analyst

Interviewed at D. E. Shaw & Co. - Investment Firm

3.8★
Jun 3, 2013

a conditional probability question, but the problem statement had no information about the prior knowledge. Therefore, although the problem was very simple, it is unsolvable mathematically. Question: you test for cancer in a machine that has the following specification; if you have cancer then it may reports 95%+ve or 5%-ve. The next day you get the results that you are -ve, do you celebrate?

Suppose there are n lily pads located on a unit circle, and a frog initially is sitting on one of them at time = 0. Every minute this frog will make a jump to the lily pad that is next to it, either to the left or to the right with probability = 1/2. Find the expected time in minutes for this frog to visit every lily pad on the unit circle.
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Quantitative Researcher

Interviewed at D. E. Shaw & Co. - Investment Firm

3.8★
Nov 6, 2023

Suppose there are n lily pads located on a unit circle, and a frog initially is sitting on one of them at time = 0. Every minute this frog will make a jump to the lily pad that is next to it, either to the left or to the right with probability = 1/2. Find the expected time in minutes for this frog to visit every lily pad on the unit circle.

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