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Suppose that we wish to predict which candidate a person will vote for in this election ("R"-Republican, "D"-Democrat, "I"-Independent) based on ,...
Suppose that we wish to predict which candidate a person will vote for in this election ("R"-Republican, "D"-Democrat, "I"-Independent) based on , household income. We use the data from a pollster who surveyed a large number of people in Ohio and discover that the mean value of for people who said they would vote "R" was , the mean of those who said they would vote "D" was , and the mean of those who said they would vote "I" was . In addition, the variance of for these three groups of people was = 16,000,000. Finally, 46% of people who participated in the polling said that they would vote "R" and 44% said that they would vote "D".
1) Assume that all necessary assumptions for LDA are satisfied and follows a normal distribution. Fill in the blanks for these parameters for LDA
pR= _________________
pD= _________________
pI= _________________
mR= _________________
mD= _________________
mI = _________________
2) Predict the probability that a person with a household income of will vote "D".