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1. You are tracking correlation of two funds, Fund A and Fund B. Examining current quarter data to date, the probability of Fund B exceeding its performance benchmark is 0.75 and the probability of Fund A exceeding its performance benchmark is 0.60. However you note that if Fund B exceeds its benchmark, the likelihood of Fund A exceeding its benchmark increases to 0.65. Given this condition, what is the probability that both funds will exceed their respective benchmarks? a. 0.4500
b. 0.4875
c. 0.5000
d. 0.6500
2. ARI Market Forecasting incorporates a sophisticated macroeconomic model incorporating 42 variables to forecast where the market will end up (up or down) at the end of the calendar year. Actually, ARI bases their forecast on whether the NFC will win the Super bowl (market rises) or the AFC will win the Super bowl (market declines). If the NFC wins, ARI gives a 0.60 probability that the market will rise and a 0.45 probability that the market will rise if the AFC wins. The bookies give 2:1 odds that the NFC will win the Super bowl. What is the probability that the market will rise for the upcoming year? a. 0.27
b. 0.48
c. 0.55
d. 0.67
3. An analyst expects that 10% of all publicly traded companies will experience a decline in earring per share (EPS). She developed a ratio to help forecast a decline in a company's EPS: if a company is headed for an EPS decline, there is a 70% probability that the ratio will be negative. If the company if not head for an EPS decline, there is a 20% probability that the ration will be negative. The analyst randomly selected a company and its ratio is negative. Based on Bayes' theorem, the posterior probability that the company will experience an EPS decline next year IS closest to:
a. 7%
b. 10%
c. 18%
d. 28%
Find the probability that student is happy with the choice of major, a psychology major and a communications major given that the student is happy with the choice of major.
For the 20 test scores shown, find the percentile rank for a score of 86.
What types of variables are measured using Pearson coefficient, and what types variables are measured with chi square; I am looking for names of variables (e.g., nominal, interval)?
A financial analyst is interested in estimating the average amount of a foreign loan by U.S. banks. Construct the Stratum weights for proportional allocation
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11 women and 9 men are the contestant in a competition. If 3 winners are ramdomly selected. what is the probability that they are all men?
Suppose two-tailed test, state hypotheses (Ho and H1 ) for two-tailed test. Using symbols, define hypotheses (Ho and H1) for two-tailed test.
Give an example of a null and alternative hypotheses. This can be a personal item or something at work. Additionally, identify the Type I and Type II Errors that could occur with your decision-making process.
It is interested in estimating a 99.97% worst case for percentage of loan that defaults on the portfolio. Show how this varies with the copula correlation.
What is the probability that the sample mean will be between M = 510 and M = 520? In symbols, what is p (510
A point estimate for the difference between the mean purchases of the users of the two credit cards is:
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