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C) If you knew {q,» ..., q,} in advance, how should you choose {p,} to maximize the probability you successfully prevent an attack? D) If you knew {q, ..., q,} in advance, how should you choose {p} to minimize the expected cost of an attack?

C) If you knew {q,» ..., q,} in advance, how should you choose {p,} to maximize the probability you successfully prevent an attack? D) If you knew {q, ..., q,} in advance, how should you choose {p} to minimize the expected cost of an attack?

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 7E
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Answer the following questions accordingly. Take your time. Thanks in advance!
There are N sites that need protection (number them 1 to N). Someone is going to pick one of them to attack, and you must pick one to protect. Suppose that the attacker is going to attack site i with probability q,. You plan on selecting a site to protect, with probability P, of selecting site i. The choice of {q,} and {p,} represent the attacker’'s and defender's strategy, respectively.
Transcribed Image Text:There are N sites that need protection (number them 1 to N). Someone is going to pick one of them to attack, and you must pick one to protect. Suppose that the attacker is going to attack site i with probability q,. You plan on selecting a site to protect, with probability P, of selecting site i. The choice of {q,} and {p,} represent the attacker’'s and defender's strategy, respectively.
C) If you knew {q, ..., q„} in advance, how should you choose {p} to maximize the probability you successfully prevent an attack? D) If you knew {q,, ..., q,} in advance, how should you choose {p} to minimize the 1’ expected cost of an attack?
Transcribed Image Text:C) If you knew {q, ..., q„} in advance, how should you choose {p} to maximize the probability you successfully prevent an attack? D) If you knew {q,, ..., q,} in advance, how should you choose {p} to minimize the 1’ expected cost of an attack?
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