What is the probability that it was categorized by S1?
Three spam email filtering systems S1, S2 and S3 categorise respectively 40%, 10% and 50% of the incoming email messages at a company. The percentage of wrong category decisions if S1 is used is 5%, if S2 is used is 3% and if S3 is used is 6%. An incoming email is selected at random: a)
Find the probability that the email was wrongly categorised (10 marks) Answer is
0.053. Formula is: P(WC) = P(S1)(WC|S1)+P(S2)(WC|S2)+P(S3)(WC|S3) = 0.4x0.05 + 0.1x0.03 + 0.5x0.06 = 0.053
(b) If the email was wrongly categorised, find the probability that it was categorised by system S1 (10 marks
I don't know the formula for answering (b)
- AmyLv 71 month ago
P(S1|WC) = P(S1 & WC) / P(WC)
- Anonymous1 month ago
move to homework help.