QDA LDA statistic question
In the production of new microchips, 4% of parts appear defective. So, any part has a prior probability of 0.04 to be defective. A certain voltage measurement is used to identify the defects. For good parts, these measurements are normally distributed with a mean of 4.5 V and a standard deviation of 0.2 V. For defective parts, these measurements are normally distributed with a mean of 4.2 V and a standard deviation of 0.2 V. A new part is tested, and the measured voltage is 4.3 V on it.
(a) Use discriminant analysis to classify this new part as either good or defective, if the penalty of any misclassification is the same.
(b) Suppose that it is ten times as harmful to label a defective part as a good part than vice versa. That is, L(good | defective) = 10 L(defective | good). How will you classify the new part now?
SAMPLE ASSIGNMENT
