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A malicious spyware can infect a computer system though the Internet or through email

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A malicious spyware can infect a computer system though the Internet or through email. The spyware comes through the Internet 70% of the time and 30% of the time, it gets in through email. If it enters via the Internet the anti-virus detector will detect it with probability 0.6, and via email, it is detected with probability 0.8.

(a) What is the probability that this spyware infects the system?

(b) If the spyware is detected, what is the probability that it came through the Internet?

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