Question 1: Consider the data set shown in the following Table: Record A B C Class 0 1 0 1 0 1 1 0 0 1 1 0 1 0 1 8 1 0 1 9 1 1 1 10 1 0 1 + a) Estimate the conditional probabilities for P(A+), P(B|+), P(C|+), P(A|—), P(B|-), and P(C|-). b) Use the estimate of conditional probabilities given in the previous question to predict the class label for a test sample (A=0, B=1, C=0) using the naive Bayes approach. c) Estimate the conditional probabilities using the m-estimate approach, with p=1/2 and m=4. 1234 2 3 4000 B001 +11+

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Question 1: Consider the data set shown in the following Table:
Record A B C
1
0
0
0
2
0
1
3
0
1
4
0
1
0
1
7
8
1
0
9
1
1
1
10
1 0 1
a) Estimate the conditional probabilities for P(A+), P(B|+), P(C|+), P(A|—), P(B|—), and P(C|—).
b) Use the estimate of conditional probabilities given in the previous question to predict the class label for a test
sample (A=0, B=1, C=0) using the naive Bayes approach.
c) Estimate the conditional probabilities using the m-estimate approach, with p=1/2 and m=4.
d) Repeat part (b) using the conditional probabilities given in part (c).
e) Compare the two methods for estimating probabilities. Which method is better and why?
COLLOOOO
0
1
1
0
0
0
Class
+++1
Transcribed Image Text:Question 1: Consider the data set shown in the following Table: Record A B C 1 0 0 0 2 0 1 3 0 1 4 0 1 0 1 7 8 1 0 9 1 1 1 10 1 0 1 a) Estimate the conditional probabilities for P(A+), P(B|+), P(C|+), P(A|—), P(B|—), and P(C|—). b) Use the estimate of conditional probabilities given in the previous question to predict the class label for a test sample (A=0, B=1, C=0) using the naive Bayes approach. c) Estimate the conditional probabilities using the m-estimate approach, with p=1/2 and m=4. d) Repeat part (b) using the conditional probabilities given in part (c). e) Compare the two methods for estimating probabilities. Which method is better and why? COLLOOOO 0 1 1 0 0 0 Class +++1
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