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BUY NOWConsider a binary classification problem Y G {0, 1} with one predictor X: statistics Home Work MU, NZ
| University | Massey University (MU) |
|---|---|
| Subject | statistics Home Work |
3. Consider a binary classification problem Y G {0, 1} with one predictor X. The prior probability of being in class 0 is Pr(Y = 0) function for X in class 0 is a standard normal.
2 The distribution for X in class 1 is the exponential distribution with parameter A 1/2. The density function is
(a) Plot Tofo(x) and Tlfl(x) in the same figure.
(b) Find the Bayes decision boundary (Hint: rofo(x) (x) on one side of the boundary and rofo(x) 2 Tlfl(x) on the other side of the boundary).
(c) Using Bayes classifier, classify the observation X 3. Justify your prediction.
(d) What is the proportion of class 0 elements that will get a false classification, and what is the proportion of class 1 elements that will get a false classification? Ex- plain your reasoning.
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