1) ( 2 points) Use the Bayes classifier to classify the observation $x_{0} = 1.5$ into one of the following 3 classes. Class 1: $?_{1} = .20$ and $X_{1} ? Exp (?_{1} = 2)$ Class 2: $?_{2} = .30$ and $X_{1} ? Exp (?_{2} = 0.2)$ Class 3: $?_{3} = .50$ and $X_{1} ? Exp (?_{3} = 0.5)$ 2) ( 2 points) Do we have enough information to classify the observation $x_{0} = 3.2$ into one of the following 2 classes? If yes, which class does $x_{0}$ belong to? Class 1: $?_{1} = .50$ and $X_{1} ? N (4.2, ?)$ Class $2 : ?_{2} = .50$ and $X_{2} ? N (2.3, ?)$

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1) ( 2 points) Use the Bayes classifier to classify the observation

x_{0} = 1.5

into one of the following 3 classes. Class 1:

?_{1} = .20

and

X_{1} ? Exp (?_{1} = 2)

Class 2:

?_{2} = .30

and

X_{1} ? Exp (?_{2} = 0.2)

Class 3:

?_{3} = .50

and

X_{1} ? Exp (?_{3} = 0.5)

2) ( 2 points) Do we have enough information to classify the observation

x_{0} = 3.2

into one of the following 2 classes? If yes, which class does

x_{0}

belong to? Class 1:

?_{1} = .50

and

X_{1} ? N (4.2, ?)

Class

2 : ?_{2} = .50

and

X_{2} ? N (2.3, ?)

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