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A biased coin has a probability of getting heads equal to 0.3. If the coin is tossed 4 times, what is the probability of getting heads at least two times?
Suppose we perform a principle component analysis of the correlation matrix of the returns of 13 yields along the yield curve. The largest eigenvalue of the correlation matrix is 9.8. What percentage of return volatility is explained by the first component? (You may use the fact that the sum of the diagonal elements of a square matrix is always equal to the sum of its eigenvalues.)
Every covariance matrix must be positive semi-definite. If it were not then:
The natural logarithm of x is:
Newton-Raphson iteration is used to find a solution of x5 - x3 + x = 1. If xn = 2, what is xn+1?
Which of the following is a false statement concerning the probability density function and the cumulative distribution function of a random variable?
What is the simplest form of this expression: log2(165/2)
What is the angle between the following two three dimensional vectors: a=(1,2,3), b=(-4,2,0)?
What is the total derivative of the function f(x,y) = ln(x+y), where ln() denotes the natural logarithmic function?
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