Suppose you have two covariance matrices A and B. Is AB also a covariance matrix? Suppose that, by plain dumb luck, we also have that AB=BA. Is AB a covariance matrix under this additional condition?
Quant Researcher Interview Questions
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Suppose you have 100 GB of data that you want to sort, but you only have 1 GB of memory. How would you sort this data?
Unfair coin with P(H) = 1/3 and P(T) = 2/3. a) How to make an event with 50% probability? b) Expected number of flips until a realization occurs? c) Can you create a strategy to reduce the number of flips necessary? d) Can you create a strategy to reduce the number of flips necessary for an unfair coin with any bias?
There are 100 doors in a row in the hall way. All closed.The first person goes to change status of all doors. The second person goes to change status of every second door(2,4,6,8,...). The third person goes to change the status of every third door(3,6,......). ....There are 100 people doing this in a row. How many door s are closed in the end after all this?
estimate how many gallons of gas are consumed in US per week
A small example: for example is if 5^13 is bigger or 13^5
Q: Integrate xlogx. Q: Put the numbers 1~1000 around a circle in order. Start at 1, you delete the number 1, 3, 5, ... and carry on this pattern of deleting numbers alternatively until there's only one number left. Determine that number.
what is the influence to R square when more independent variables are added to the regression model
race a car two round, first one at 100 mph, second for 200 mph. What is the average speed?
12 balls, one is slightly different in weight. How to find the different ball using a two-edge scale in three times?
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