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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?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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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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