Complete questions d and e onlyQuestion 1: Consider the data set shown in the following Table:RecordA B C00 02001301140 110111111010 1a) Estimate the conditional probabilities for P(A+), P(B+), P(CI+), 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 testsample (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?Ans a,b,ca)P (A = 1|?) = 2/5 = 0.4, P (B = 11?) = 2/5 = 0.4, P (C = 11?) = 1, P (A= 01?) = 3/5 = 0.6,P (B = 01?) = 3/5 = 0.6, P (C = 0[?) = 0; P (A = 1|+) = 3/5 = 0.6, P (B = 1|+) = 1/5 = 0.2, P (C = 11+) = 4/5 = 0.8,P (A=0|+) = 2/5 = 0.4, P (B = 0+) = 4/5 = 0.8, P(C=0]+)=1/5=0.2b)Let's assume that P (A = 0, B = 1, C = 0) = W.P (+|A=0, B = 1, C = 0) = (P (A = 0, B = 1, C = 0+) x P (+))/(P (A = 0, B = 1, C = 0))= (P (A = 0]+)P (B= 1+)P (C = 0+) * P (+))/ W= .008/WP (?|A = 0, B = 1, C = 0) = (P (A = 0, B = 1, C = 0[?) x P (?))/(P (A = 0, B = 1, C = 0))P (A= 01?) x P (B = 1|?) x P (C = 0[?) * P (?) /W= 0/WHence, the class label should be '+'.c)P (A=0|+) = (2+2)/(5 + 4) = 4/9,P (A = 0[?)=(3+2)/(5 + 4) = 5/9,P (B= 1+) = (1+2)/(5 + 4) = 3/9,P (B=11?) = (2+2)/(5 + 4) = 4/9,P (C = 0+) = (1 + 2)/(5 + 4) = 3/9,P (C = 01?) = (0+2)/(5 + 4) = 2/9.Class++

According to the information given:- we have to answer only d,and e on the basis of instruction…

Answered: d) Repeat part (b) using the…

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?

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

Problem 1PE

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