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Suppose we collected the following Dataset A during 2016. Table 1. Dataset A. Index of Records Rain Sprinkler WetGrass 1 No No No 2 No

Suppose we collected the following Dataset A during 2016.

Table 1. Dataset A.

Index of Records

Rain

Sprinkler

WetGrass

1

No

No

No

2

No

Yes

Yes

3

No

No

No

4

No

Yes

Yes

5

Yes

No

Yes

6

No

Yes

Yes

7

No

No

No

8

Yes

Yes

Yes

9

No

No

No

10

No

Yes

No

11

Yes

No

No

12

No

No

No

13

No

No

No

14

No

Yes

Yes

15

Yes

No

Yes

16

No

No

No

We also collected another Dataset B during 2017.

Table 2. Dataset B.

Index of Records

Rain

Sprinkler

WetGrass

1

No

No

Yes

2

No

No

No

3

No

Yes

No

4

No

Yes

Yes

5

Yes

Yes

Yes

6

No

Yes

No

7

No

No

No

8

Yes

No

Yes

9

No

Yes

Yes

10

No

No

No

These two datasets A and B are independent. We are going to train and test a few classifiers by using these two datasets. That is, given two attributes Rain and Sprinkler, we want to predict if WetGrass is Yes or No.

a) Please illustrate how to use Dataset A to construct a nave Bayesian classifier to predict the label (WetGrass) of the data record X=(Rain = No, Sprinkler = Yes).

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