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,, ié‘fl‘)“ Haggﬁgﬁﬁ W msEQFlﬁr) Egﬂﬂﬂg (a) Completely specify the probability structure. at each node.
(b) What is the probability air vehicle one is identiﬁed?
(0) Given air vehicle one is identiﬁed, What is the probability a sensor two was used? (cl) Given air vehicle one is identiﬁed, what is the probability ground vehicle two is identiﬁed? Problem 2: Spam ﬁlters use probability to help detect spam messages based on their Content
(among other things). For a particular spam filter, 60% of messages are spam. Given a message is Spam, 8% contain the Word viagm. Given a message is not Spam, 99.5% do not contain the word
viagra. ('3) Clearly represent this information with a complete tree diagram. ‘7 ‘. ’ ' ’1 7
(b) Whig‘j' s the ibab 1% a e cogtai s the word viagm? ii i l
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(c) Sup ose an tai‘sat viagm. at is the probability the mess ge i sp .
(d) suiiélm: wig ssa'ge ‘ ' . it .
no? 0 Jedi??? . - he word magmﬁf‘ﬂg j probability the messag- is
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- Fall '07