QUESTION 45

1. All of the next several questions refer to this situation and analysis (until a new situation is given.) You are attempting to determine the probability that incoming messages are spam, based on whether each contains the word 'account'. For each message, consider two states, s1 (spam) and s2 (NOT spam). The overall probability that a message is spam is P(s1)=0.1, so P(s2)=0.9. Many spam messages contain the word 'account', so P(account|s1)=0.3. There are, of course, legitimate emails that contain the word 'account', so P(account|s2)=0.04. Using this information, calculate the probabilities in this and the following questions. Question: What is the joint probability P(s1 and account)?

1 points

QUESTION 46

1. (Refer to the situation above.) What is the joint probability P(s2 and account)?

1 points

QUESTION 47

1. (Refer to the situation above.) What is the probability P(account)?

1 points

QUESTION 48

1. (Refer to the situation above.) What is the posterior probability P(s1|account)?

1 points

QUESTION 49

1. (Refer to the situation above.) What is the posterior probability P(s2|account)?