Which of the following is the formula for the correlation between X and Y?
A. Cov(X,Y)/[(sigma_X)*(sigma_Y)]^2.
B. [Cov(X,Y)]^0.5
C. (sigma_X)*(sigma_Y)/Cov(X,Y).
D. Cov(X,Y)/[(sigma_X)*(sigma_Y)].
The coefficient of variation of a distribution X is twice that of Y. If X and Y have the same means, the variance of Y is:
A. half that of X.
B. twice that of X.
C. none of these answers.
D. same as that of X.
The lengths of time (in minutes) several underwriters took to review applications for similar insurance coverage are: 50, 230, 52 and 57. What is the median length of time required to review an application?
A. 141.0
B. 54.5
C. None of these answers
D. 109.0
E. 97.25
A statistician has framed his hypothesis testing problem as:
Ho: mean = 0H1: mean > 0
For the given sample, he calculates the z-statistic. Then, the region of rejection at the 99% level is given
by:
A. z-statistic > +2.32
B. z-statistic < 1.96
C. z-statistic < -2.32 or z-statistic > +2.32
D. z-statistic > +1.96
The closing prices of a common stock have been 61 1/2, 62, 61 1/4, 60 7/8, and 61 1/2 for the past week. What is the range?
A. None of these answers
B. $1.750
C. $1.875
D. $1.250
E. $1.125
You run a mutual fund that holds 24 stocks. Each week, you intend to comprehensively review 3 of them. Assuming this is the first week you are doing this, how many ways can you choose 3 from the 24?
A. 2,024.
B. 1,492.
C. 1,024.
D. 2,048.
An empirical finance professor estimates the following regression between the return on a stock, R, and the return on SandP 500 index, Rsp:
R = 5% + 1.1 Rsp + error term
If the regression R-square is 0.25, estimate the change in the return on the stock when the return on the SandP 500 index changes from 12% to 15%.
A. 19.5%
B. 8.8%
C. 18.2%
D. 3.3%
A perpetuity of $5,000 a year is priced at $40,000. The annual discount rate is:
A. 12.5%
B. 13.1%
C. 11.8%
D. 12.75%
The formula for conditional probability is given by:
A. P(A | B) = P(AB) / P(B)
B. P(A | B) = P(AB) / P(A)
C. P(A | B) = P(AB) * P(A)
D. P(A | B) = P(AB) * P(B)
A cumulative frequency distribution on days absent during a calendar year by employees of a manufacturing company is shown below.
Days AbsentCumulative Number of Employees 0 - 260 3 - 531 6 - 814 9 - 116 12 - 142
How many employees were absent fewer than six days?
A. 60
B. 91
C. 46
D. 31
E. None of these answers
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