What are the Taiwan's army's chances
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Subject: Discrete Structures
Question:
You plan to invade Taiwan but Taiwan has a defense army. 50% of the army will be defended when you attack via infantry. But normally the Taiwan army defense is at 40%. You usually attack by sending your infantry at 10%. What are the Taiwan's army's chances
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- Suppose I flip a fair coin n = 20 times. A psychic tries to predict the outcome before each flip. Three researchers have different ideas about the psychic's ability. There is Sydney, the Skeptic (S), who thinks the psychic's success rate is between 49% and 51%. There is Morgan, the Mark, M, who thinks that the psychic's success rate is 80%. And there is Carter, the Cynic (C), who thinks the psychic's success rate is 10%. Specifically: S+ 0 ~ U(.49, .51) M + 0 = .80 C0 = .10 %3D In all cases, assume the number of successful predictions follows a binomial distribution with success rate 0. Usek for the number of successes and n for the number of trials. Given all that: Determine the formula for the Bayes factor (a.k.a., likelihood ratio) supporting Carter over Morgan. Call that Bayes factor Bc:M Determine the formula for the Bayes factor (a.k.a., likelihood ratio) supporting Morgan over Sydney. Call that Bayes factor BM:S Determine the formula for the Bayes factor (a.k.a., likelihood…STATISTICS AND PROBABILITY (UPVOTE WILL BE GIVEN. PLEASE WRITE THE COMPLE SOLUTIONS LEGIBLY. NO LONG EXPLANATION NEEDED.)18. Suppose that in a book club, 60% of the members are women, and 35% like to read poetry. If reading poetry is independent of gender, what percent of people in the book club are women who like to read poetry? Group of answer choices 74% 25% 95% 21%
- B. Perimeter Shot - A perimeter shot, also known as a mid-range shot, is a jump shot or general field goal attempt that an offensive player can take inside of the three-point line and is worth 2 points. To practice this, Piel has to choose four different shooting spots among the five different spots in where he is comfortable of shooting. In previous games, his shot selection is 5% from the right baseline (Spot 1), 15% from the right elbow (Spot 2), 20% from the top of the key (Spot 3), 25% from the left elbow (Spot 4) and 35% from the left baseline (Spot 5). In this drill, a shooting spot can be selected once, multiple times, or not at all. This drill illustrates a random experiment with distribution. To help Piel decide, below is the partial table for the means and standard deviations of the random variable, Y, or the number of times he shoot the ball in a shooting spot. Shooting Spot E[Y] SD[Y] Spot 1 0.2 0.4359 Spot 2 0.6 0.7141 Spot 3 0.8 0.8000 Spot 4 the mean of 1.4 by will…Answer the following question. In a recent competition, each of three teams played each other team once. The results are given in the table below. What was the score of the A vs. C game? Give A's goals first. Team A B C Wins 1 1 0 Losses Ties 0 1 0 1 2 0 Goals For Goals Against 6 3 2 4 2 5 (Remember: Your solution must show appropriate work or reasoning.)2. A liberal arts college has an endowment that pays engineering students a scholarship if they earn over a certain GPA in their junior year. There are three types of junior engineering students in the college: 40% are in chemical engineering, 25% are in electrical engineering and 35% are in mechanical engineering. It is known that both junior electrical and mechanical engineering students are twice as likely to earn the scholarship as junior chemical engineering students. If a chemical engineering student earns the scholarship they receive $2000 and if an electrical or mechanical engineering student earns the scholarship they receive $1000. Given that a junior engineering student earns a scholarship, find the expected amount that is paid to the student. Give answer to the fourth decimal.
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