Bayes Net Representation (2%) [1%] Answer True or False: In a Bayes Net, if X and Y are conditionally independent given Z, then X and Y are d-separated by Z. [1%] Consider the following Bayes Net structure E List at least 4 conditional independences from the above structure (e.g., A II D | B, or A || E)
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- Use the pumping lemma to show that the following set is NOT regular: {ww | w => {a,b}*}Addition Rule Product Rule Log Exponent Rule Log Base Rule Transitivity In the following section, indicate what reference function (g(x)) we should use when attempting to prove that f(x) is O(g(x)). Use the rules and reference functions above to guide you. f(x)=n+log2n f(x)=n2+log n4 f(x)=n2∗n3 f(x)=n5/n2 f(x)=n∗(log n)∗n f(x)=n+n log n+log n1 Let an approximate value of π is given by x₁ = 3.142871 and its true value is x = 3.1415926. Then find the absolute, relative and percentage errors. 2 Construct forward difference table for y = f(x) = x³ + 2x + 1 for x = 1, 2, 3, 4, 5. 3 Prove V=1 - E-1 4 Evaluate i. (4)x3 0.0 11. A²ex
- Construct a DFA based on the followingTOPIC: MARKOV CHAINS A book club has 3 mailing lists: A special list M of the most senior active members. Another list R containing the regular members, and A list of regular members and names of individuals who have shown interest in club activities in the past. For each new publication, it is necessary to decide which list should be used to mail the sale announcements.sale.If after the last mailing there was a request for too few copies, the secretary uses list R with probabilityof ¼ and P with a probability of ¾.If after the last mailing there was a satisfactory response, the secretary uses the R list and the P list with equalprobabilities.If, after the preceding shipment, there was an excessive number of orders or over demand, the secretary uses list M with probability 1/3 and list P with probability ¾.list M with probability 1/3 and R with probability 2/3.If list M is used, there will be poor sales or satisfactory sales with equal probabilities; if list R is used, there will be…Definition of 3SAT : In the 3SAT problem, the input is a Boolean expression formed by m clause and n variables (each variable x can have a positive literal x and negative literal x). Each clause formed by disjunction of threeliterals and the formula is formed by the conjunction of the m clauses. For example, the following formulais an instance of the 3SAT problem: (x1 ∨ x2 ∨ x3) ∧ (x1 ∨ x2 ∨ x3) ∧ (x1 ∨ x2 ∨ x3), which is formed by 3 variables x1, x2, x3 and three clauses. The objective is to find an assignment of Boolean values to variables to satisfy the formula. In the example above, one possible satisfying assignment is to let x1 to be false and x2, x3 to be true. Problem : A 2SAT formula is a conjunction of clauses like a 3SAT formula, except that each clause is a disjunction of 2 literals (rather than 3). For example (x1 ∨ x2) ∧ (x2 ∨ x3) ∧ (x3 ∨ x1) is a 2SAT formula.Use consistency model to provide a 2SAT formula consistent with the following labelled data (or specifythat…
- For each product, find the median sales quantity (assume an odd number of sales forsimplicity of presentation). (NOTE – “median” is defined as “denoting or relating to avalue or quantity lying at the midpoint of a frequency distribution of observed values orquantities, such that there is an equal probability of falling above or below it.” E.g.,Median value of the list {13, 23, 12, 16, 15, 9, 29} is 15. Report #3:PRODUCT MEDIAN_QUANT======= ============Bread 422Milk 1976. . . .¬q → ¬ p is called ______ of p →q. (contrapositive, inverse)webwork/mcb1007_int_prob stat / mcb1007-hmwrk3 / 4 MCB1007-Hmwrk3: Problem 4 Previous Problem Problem List Next Problem (2 points) The joint probability mass function of X and Y is given by p(1,1)= 0.4 Note: You can earn partial credit on this problem. p(2, 1) = 0.1 p(3, 1) = 0.1 (a) Compute the conditional mass function of Y given X = 3: P(Y = 1|X = 3) = P(Y=2|X = 3) = P(Y = 3|X = 3) = (b) Are X and Y independent? (enter YES or NO) Preview My Answers Submit Answers You have attempted this problem 0 times. You have 10 attempts remaining. p(1, 2) = 0.1 p(2, 2) = 0.05 p(3, 2) = 0.1 Email WeBWork TA p(1,3)= 0.05 p(2,3) = 0.05 p(3,3) = 0.05
- Please dont USE Ai Fuzzy Logic-Based Fake News Detection Example Suppose we have a news article with the following features that you use to determine whether the article is likely to be fake news: Word Count: The total number of words in the article. Emotional Tone: A score indicating the article's emotional tone (positive, negative, or neutral). Source Reliability: A rating (on a scale of 0 to 1) representing how reliable the news source is. To describe the qualitative characteristics of the above features and represent its inherently vague or imprecise, we use these linguistic variables: Word Count: Low, Medium, High Emotional Tone: Negative, Neutral, Positive Source Reliability: Low, Medium, High These membership functions represent each feature. Consulting a group of experts, they suggest that to classify an article as fake news, we must follow two basic rules: If the Word Count is High AND the Emotional Tone is Negative, the article is likely fake. If…Q2 – Simple Machine-Learning Function Java Program A Learning Function is an empirical formula which is responsible for regulating the training of an agentwith respect to Machine Learning and Artificial Intelligence (AI). In this regard, given below is ourprototype Learning Function, Z, which tunes and regulates the training as well as learning in our AIagents. This is defined such that: Z = y ∗ Ω Given that Ω = 0.567143 and y is a dynamic variable, which is defined with respect to the day of the week and the time of the day, as illustrated in the table below: Weekday/Time Day-Light Night-Time Monday 2.53 3.25 Tuesday 3.15 2.99 Wednesday 3.00 3.99 Thursday 2.41 2.68 Friday 1.99 3.73 Saturday 3.59 2.86 Sunday 2.00 2.59 Therefore, write a Java program correctly such that your source code will accomplish the following: 1. Display a prompt message for the user to enter the Weekday and the Time as a single input separated via the space character. Thus, valid inputs for…i want 4 SEQUENCES DIAGRAM from this use case:- 옷 Student incorrect extend 옷 admin add course «include include login employees evalution includes reservation time include «include>> extend extend extende extende extend y extend lack of money follow up financial situation make payment include member complete training course include online «include> basic course view employee info remove empolyee promotion employee extende view std info cash not qualified include print card has no money extend extends pass the interview includes «extend- extend choose level course exten write report apply to work receive salary modify 064 employee WRON WHEN OPM