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?
Research Intern Interview Questions
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Drawing a pair of (x, y) from a joint Gaussian distribution with 0 covariance. Knowing the stndard deviations of x and y and knowing z = x + y, what is your best guess for x?
Suppose you have three random variables. The correlation between A and B is 0.6, the correlation between A and C is 0.8. What is the range of correlation between B and C?
What are index funds and how are they traded in markets?
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?
1, 2, 3 from exp, ln, sqr, sqrt, sin, cos, tg, arcsin, arccos, arctg and 0
Interesting question: From a deck of 52 cards pick 26 at random. From this set of 26 you pick two cards. You win if the both of these cards are of the same color. Is this a game you would prefer over one in which you win by picking two (first two picks) of the same color at random from a deck of 26 with equal number of black and red cards
Grilling on financial terms, current affairs and opinions about the same. Since I was from marketing background I was given a lot many situations to analyse.
Any idea about the work that the organization does? How do you see yourself fitting in with the organisation?
toss 100 coins, what is the probability of getting more than 60 heads?
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