A system may become infected by some spyware through the internet or e-mail. Eighty percent of the time the spyware arrives via the internet, twenty percent of the time via e-mail. If it enters via the internet, the system detects it immediately with probability 0.7. If via e-mail, it is detected with probability 0.9. Let N be the event that the spyware enters the system via the internet. Let E be the event that the spyware enters the system via e-mail. Let D be the event that a system detects the spyware. find P(D) Probability that the system detects the spyware?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A system may become infected by some spyware through the internet or e-mail. Eighty percent of the time the spyware arrives
via the internet, twenty percent of the time via e-mail. If it enters via the internet, the system detects it immediately with
probability 0.7.If via e-mail, it is detected with probability 0.9.
Let N be the event that the spyware enters the system via the internet.
Let E be the event that the spyware enters the system via e-mail.
Let D be the event that a system detects the spyware.
find
P(D) Probability that the system detects the spyware?
Transcribed Image Text:A system may become infected by some spyware through the internet or e-mail. Eighty percent of the time the spyware arrives via the internet, twenty percent of the time via e-mail. If it enters via the internet, the system detects it immediately with probability 0.7.If via e-mail, it is detected with probability 0.9. Let N be the event that the spyware enters the system via the internet. Let E be the event that the spyware enters the system via e-mail. Let D be the event that a system detects the spyware. find P(D) Probability that the system detects the spyware?
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