8007 exam

The class intervals should be large enough so that they not obscure interesting variation within the groupA . Statements 2 and 3 are correctB . Statements 1 and 2 are correctC . All three statements are correctD . Statements 1 and 3 are correctView AnswerAnswer: B

If the annual volatility of returns is 25% what is the variance of the quarterly returns?A . 0.1250B . 0.0156C . 0.0625D . None of the aboveView AnswerAnswer: B

Which of the following properties is exhibited by multiplication, but not by addition?A . associativityB . commutativityC . distributivityD . invertibilityView AnswerAnswer: C

If A and B are two events with P(A) = 1/4, P(B) = 1/3 and P(A intersection B) =1/5, what is P(Bc | Ac) i.e. the probability of the complement of B when the complement of A is given?A . 12/29B . 37/45C . 3/4D . None of theseView AnswerAnswer:...

Evaluate the derivative of ln(1+ x2) at the point x = 1A . 0.5B . 0C . 1D . 2View AnswerAnswer: C

Let X be a random variable distributed normally with mean 0 and standard deviation 1 . What is the expected value of exp(X)?A . E(exp(X)) = 1.6487B . E(exp(X)) = 1C . E(exp(X)) = 2.7183D . E(exp(X)) = 0.6065View AnswerAnswer: A

For each of the following functions, indicate whether its graph is concave or convex: Y = 7x2 + 3x + 9 Y = 6 ln(3x) Y = exp(-4x)A . concave, concave, concaveB . concave, convex, convexC . convex, concave, concaveD . convex, convex, concaveView AnswerAnswer: C

At what point x does the function f(x) = x3 - 4x2 + 1 have a local minimum?A . -0.666666667B . 0C . 2.66667D . 2View AnswerAnswer: C

A 95% confidence interval for a parameter estimate can be interpreted as follows:A . The probability that the real value of the parameter is within this interval is 95%.B . The probability that the real value of the parameter is outside this interval is 95%.C . The probability that the...

The fundamental theorem of analysis establishes a relation betweenA . First and second derivative of a functionB . The derivative of a function and the slope of its graphC . Integration and differentiation of functionsD . The derivative of a function and the derivative of its inverse functionView AnswerAnswer: C