3) Poker. 26 red, 26 black. Take one every time, you can choose to guess whether it’s red. You have only one chance. If you are right, you get 1 dollar. What’s the strategy? And what’s the expected earn?
Perguntas de entrevista de Quantitative Analyst Summer Intern
236 Perguntas de entrevista compartilhadas pelos candidatos | quantitative analyst summer intern
At a party everyone shakes hands, 66 hand shakes occur, how many people are at the party?
Suppose that you have a fair coin. You start with $0. You win 1$ each time you get a head and loose $1 each time you get tails. Calculate the probability of getting $2 without getting below $0 at any time.
1) Tow coins, P(head)=1/3, P(tail)=2/3, design a way to get the effect of fair coin
There are two stocks with the same expected value, with variance 0.3 and 0.2 and correlation 0.5. What proportion of each stock do you invest in to yield a minimum risk portfolio?
2) A. 10 ropes, each one has one red end and one blue end. Each time, take out a red and a blue end, make them together. Repeat 10 times. The expectation of the number of loops. B. 10 ropes, no color. All the other remains the same.
A use 5 hours finish a job. B use 8 hours finish it. How long A and B take it together?
If W is standard Brownian Motion, for what values of n is W^n still a martingale?
Evaluate the integral from 0 to pi/6 of sec(x) dx.
You're throwing a party in 24 hours and have purchased 1,000 bottles of wine. You are informed that one of these 1,000 bottles is tainted with a slow-acting poison that will kill the consumer 24 hours after intake. You have 10 rats that you can use to taste the wine. How many bottles will you be able to ensure are not poisoned by the time the party begins?
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