Suppose the university has designed a e-mail spam filter that attempts to identify by looking for commonly occurring phrases in spam. E-mail analysis has shown that 80% of email is spam. Suppose that 10% of the spam email contain the phrase “Large inheritance”, whereas this phrase is only used in 1% of non-spam emails. Suppose a new email is received with the phrase ”Large inheritance”, what is the probability that it is spam?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Suppose the university has designed a e-mail spam filter that attempts to identify by looking for commonly
occurring phrases in spam. E-mail analysis has shown that 80% of email is spam. Suppose that 10% of
the spam email contain the phrase “Large inheritance”, whereas this phrase is only used in 1% of non-spam
emails. Suppose a new email is received with the phrase ”Large inheritance”, what is the probability that it
is spam?

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