2 3 4 5 8 7 8 9 10 Rainy Overcast Sunny Sunny Sunny Overcast Rainy Rainy Sunny Mild Hot Hot Cool Cool Cool Mild Cool Mild False False True False True False False False False No Yes Yes Yes No Yes No No Yes
2 3 4 5 8 7 8 9 10 Rainy Overcast Sunny Sunny Sunny Overcast Rainy Rainy Sunny Mild Hot Hot Cool Cool Cool Mild Cool Mild False False True False True False False False False No Yes Yes Yes No Yes No No Yes
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Question
THIS IS NOT A GRADED ASSIGNMENT. THIS IS PRACTICE WORK.
Transcribed Image Text:Bayesian Decision Theory
Consider the following training set and a test object X(O=Sunny, T=Mild, W=True). Use Naïve Bayesian Classifier for
the following questions assuming attributes are independent.
ID
1
2
3
4
5
8
7
8
9
10
Outlook (O)
Rainy
Rainy
Overcast
Sunny
Sunny
Sunny
Overcast
Rainy
Rainy
Sunny
Temperature (T)
Hot
Mild
Hot
Hot
Cool
Cool
Cool
Mild
Cool
Mild
Windy (W)
False
False
False
True
False
True
False
False
False
False
Play Golf (Class)
No
No
Yes
Yes
Yes
No
Yes
No
No
Yes
Transcribed Image Text:a)
b)
c)
d)
e)
f)
9)
h)
D)
D)
k)
Predict the class of X by writing the following probabilities or expressions:
P(Play=Yes)
P(Play=No)
P(O=Sunny|Play=Yes)
P(T=Mild|Play=Yes)
P(W=True|Play=Yes)
P(O=Sunny|Play=No)
P(T=Mild|Play=No)
P(W=True|Play=No)
P(X|Play=Yes)
P(X|Play=No)
P(X|Play=Yes)*P(Play=Yes)
P(X|Play=No)*P(Play=No)
m)
Class of X is
Write your answers to response as
a)....
b)....
Class of X is ....
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