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Detecting a computer virus attack. Chance (Winter 2004) presented basic methods for detecting virus attacks (e.g., Trojan programs or worms) on a network computer that are sent from a remote host. These viruses reach the network through requests for communication (e.g., e-mail, Web chat, or remote log-in) that are identified as “packets.” For example, the “SYN flood” virus ties up the network computer by “flooding” the network with multiple packets. Cybersecurity experts can detect this type of virus attack if at least one packet is observed by a network sensor. Assume that the probability of observing a single packet sent from a new virus is only .001. If the virus actually sends 150 packets to a network computer, what is the probability that the virus is detected by the sensor?
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