5) If you were the attacker, and knew that your opponent was trying to maximize their probability of of successfullypreventing your attack, how should you choose {4:} to maximize your probability of a successful attack?(Assume that your strategy is going to leak to your opponent.)6) If you were the attacker, and knew that your opponent was trying to minimize the expected cost of your attack,how should you choose {q} to maximize the expected cost of an attack? (Assume that your strategy is goingto leak to your opponent.)7) If both attacker and defender are trying to maximize and minimize (respectively) the probability of a successfulattack, what strategies are they going to end up following:8) If both attacker and defender are trying to maximize and minimize (respectively) the expected cost of an attack,what strategies are they going to end up following? There are N sites that need protection (number them 1 to N). Someone is going to pick one of them to attack, andyou must pick one to protect. Suppose that the attacker is going to attack site i with probability qi. You plan onselecting a site to protect, with probability p, of selecting site i. The choice of {4;} and {p:} represent the attacker'sand defender's strategy, respectively.

Given that the attacker is going to attack site i with probability qiqi and selecting a site to…

Answered: 5) If you were the attacker, and knew…

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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During one month, a blood donation center found that 45.5% of the donors had the A antigen. 14.5% of the donors had the B antigen. 4.6% of the donors had the A antigen and the B antigen. 84.6% of the donors were Rh+. 87.8% of the donors had the B antigen or were Rh+. (a) Find the percent of donors that have the A antigen or the B antigen. 55.4 % (b) Find the percent of donors that have the B antigen and are Rh+. ?
An escape room participant, named Alice, is trapped in a room containing three doors. Assume that, at all times, Alice equally likely to choose any of the doors.The first door leads to a route that takes Alice to safety after 1 hour. The second door leads to a route that takes her back to the same room after 1 hour. The third door leads to a route that returns her back to the same room after 30 minutes. What is the expected length of time until she reaches safety?
Determine whether A and B are independent, positively associated or negatively associated in each of the following cases : (1) N%3D 100, (А) %3 57, (B) — 65, (AB) — 32 (iї) N%3D 200, (A) %3D 108, (В) — 132, (АB) — 75 (iї) N%3D 160, (А) 3 80, (В) 3D 50, (АB) 3 25
An individual has a vNM utility function over money of u(x) = Vx, where x is final wealth. Assume the individual currently has $16. He is offered a lottery with three possible outcomes; he could gain an extra $9, lose $7, or not lose or gain anything. There is a 15% probability that he will win the extra $9. What probability, p, of losing $7 would make the individual indifferent between to play and to not play the lottery? (Make sure to answer in the form, 0.X, i.e. 0.25) Enter your answer here
2. If P(X € A) — .3, P(X € В) %3 .25, Р(X € С) %3 .6, P(Х € AUB) 3 55, аnd P(X € BUС) %3 .7, determine the following probabilities. (а) Р(Х € А') (b) Р(X € В°) (с) Р(X € AnВ) (d) P(Х € ВПС)
When looking at the data for graduate school admissions between men and women, it is shown that about 45% of men are admitted but only 38% of women. However, when the data is broken down by school it turns out that, within each school, the women are admitted at higher rates than the men. This could happen because I. The women apply in higher numbers to schools with lower acceptance rates. II. The women apply in higher numbers to schools with higher acceptance rates III. The men apply in higher numbers to schools with lower acceptance rates IV. The men apply in higher numbers to schools with higher acceptance rates
Suppose that one variable, xx, is chosen randomly and uniformly from [0, 1], and another variable, yy, is also chosen randomly and uniformly from [0, 2]. What is the probability that x≤y≤2x+1x≤y≤2x+1?The probability for x≤y≤2x+1x≤y≤2x+1 is?
Consider the following game in a game arcade. The probability of winning a game is p and hence loosingthe game is 1 − p. In order to win a prize you are given three choices:• A: win at least once in 6 games;• B: win at least twice in 12 games; and• C: win at least 3 times in 18 games.1. If p = 16 which of A, B, or C should you choose to maximize your probability of winning the prize?You are required to compute the probabilities for each option to justify your answer.2. Using the formulas derived in part (1), write a R-code to compute (not simulate) and plot the probabilityof winning the prize for options A, B, and C for different values of p varying from 0.1 to 0.9 inincrements of 0.1. Summarize your observation.Regarding the plot: i) All three curves should be drawn in the same plot, ii) Make sure that the threecurves are distinguishable (using different line styles, colors, and/or markers), and iii) make sure toadd a legend that identifies the curves for the three different options…
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5) If you were the attacker, and knew that your opponent was trying to maximize their probability of of successfully preventing your attack, how should you choose {q.} to maximize your probability of a successful attack? (Assume that your strategy is going to leak to your opponent.)