A system may become infected by some spyware through the internet or email. 70% of the time the spyware arrives via the internet, 30 % of the time via email. If it enters via the internet, the system detects it immediately with probability 0.6. If via email, it is detected with probability 0.8. What percentage of times is this spyware detected?

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
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Problem 18T: You attend a karaoke night and hope to hear your favorite song. The karaoke song book has 300...
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Q9: A system may become infected by some spyware through the internet or email. 70% of the
time the spyware arrives via the internet, 30 % of the time via email. If it enters via the internet,
the system detects it immediately with probability 0.6. If via email, it is detected with probability
0.8. What percentage of times is this spyware detected?

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