Database - Data Mining

A spam filtering system has a probability of 0.95 to classify correctly a mail as spam and 0.10 probability of giving false positive. It is estimated that 0.5% of the mails are actual spam mails.

71. Find the probability that the mail is misclassified:

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72. What is the naive assumption in a Naive Bayes Classifier?

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73. Consider the following dataset. a,b,c are the features and K is the class(1/0):

abcK
1011
1111
0110
1100
1010
0001
Find P(K=0|a=1, b=1).

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A patient goes to a doctor with symptoms S1, S2 and S3. The doctor suspects disease D1 and D2 and constructs a Bayesian network for the relation among the disease and symptoms as the following:

74. What is the joint probability distribution in terms of conditional probabilities?

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A patient goes to a doctor with symptoms S1, S2 and S3. The doctor suspects disease D1 and D2 and constructs a Bayesian network for the relation among the disease and symptoms as the following:

75. Suppose P(D1) = 0.4, P(D2)=0.7, P(S1|D1)=0.3 and P(S1|D1')=0.6. Find P(S1)

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