1. Bayes Net Structure Consider two Bayesian networks:BAC DBAC DIf each variable can take 5 different values, what is the minimum number of parameters needed torepresent the conditional probabilities of each Bayesian network?(Hint: P(A) on the left requires only four parameters, since the fifth, P(A = 5) = 1-P(A= 1)-P(A =2) - P(A=3) - P(A = 4), can be recovered from the other four.)

Bayes Net Structure A Bayesian Network is a graph structure for representing conditional…

Answered: 1. Bayes Net Structure Consider two…

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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StarHortons Cup, the coffee company, wants to determine how long caffeine lasts throughout the day when individuals have a cup of one of their 3 types of coffee at 9am. They will then measure the levels of caffeine in these individuals’ systems at 10am, 12am, 2pm, 4pm, 6pm and 8pm. They want to have at least 20 observations per group. How many separate/distinct groups of participants are needed if they want to conduct this experiment using a mixed-measures ANOVA? 18 6 20 3
Answer the following questions for a game played as an alternate move, single choice game using the game matrix below. Be sure to type one word (spelled correctly) or number into each answer field. Sue Eat Drink (16,4) (4,10) (8,13) (4,9) (1,8) (20,7) Bill Fly Swim Walk Merry (2,8) (11,9) (5,3) a. If Bill chooses first, what strategy would he choose? A/ b. What is Bill's outcome if he chooses first? c. Does Bill prefer to choose first or second? A
Eye color in humans is determined by a single pair of genes. If both genes are blue-eyed genes, then the person will have blue eyes; if they are both brown-eyed genes, then they will have brown eyes; and if one is a blue-eyed gene and the other is brown-eyed gene, then the person will have brown eyes. A baby receives one gene from each of its parents and the gene it receives is equally likely to be either of the two genes of that parent. Suppose that Mario and both of his parents have brown eyes, but that his sister has blue eyes. (a) What is the probability that Mario possesses a blue-eyed gene? (b) Suppose that Mario’s wife has blue eyes. What is the probability that a child of theirs will have blue eyes? (c) If their first child has brown eyes, what is the probability that their second child will also have brown eyes?
A psychologist wants to test the influence of color on object recognition in 4-year olds. She recruits 25 children and shows them two sets of pictures of everyday objects (variable = picture type), has the children name them, and measures the time it takes (variable = reaction time). She shows the children a color set of pictures first and then shows them a black and white set of pictures. a) What is the independent variable? b) What is the dependent variable? c) What is the second independent variable? d) What is the second dependent variable? e) Is "picture type" a within-subjects or between-subjects variable? f) What scale of measurement is reaction time? g) What scale of measurement is picture type? h) The order of presentation of the picture sets is what kind of variable?
Suppose a system consists of four components, con-nected in parallel, having the reliabilities 0.8, 0.7, 0.7, and 0.65, respectively. Find the system reliability.
TOPIC: MARKOV CHAINSA market research firm conducted a household survey regarding preferences for three brands of detergents.three brands of detergents. The survey was conducted by interviewing the same housewives at the beginning of two consecutive months.consecutive months. The results of the survey are as follows: Beginning of month 1: 200 respondents showed a preference for the "Ace" brand, 120 for the "Bold" brand, and 180 for the "Clean" brand.for the "Clean" brand. C) If the pattern of profit and loss does not change in the following months, how many housewives are estimated to prefer each brand at the end of month 2?
15 For the given Bayesian Game, determine the average payoff for a hardworking (H) teacher for Interested (I) type of students with strategy Not Study (NS) and Not Interested (NI) type of students with strategy Study (S), i.e. Teacher's payoff for strategy (H,(NS,S)). Player-1: Teacher, Player-2: Student Student may be of two categories: INTERESTED (I) or NOT INTERESTED (NH) with probability 1/2. Action of Teacher: Hard work (H/ Laty (L) Action of Student: Study (S)/ Not Study (NS) Game Table: P(I)=1/2 Teacher\ Student NS H. 10,10 0,0 L 5,5 5,0 P(NI)=1/2 Teacher\ Student S NS 5,5 0,5 10,5 5,10
Consider a system of four flipped coins. (&) What s the probability that two land heads and the other two tails? (b) Label the four coins 1.2, 3, and 4. Make a chart that lists the various possible configurations that have two heads and two tails. Is the number of configurations on your chart
Hw 4 The following information relates to the probability of two different managers selecting a salesperson for a job: Probability of Manager Sam choosing a Salesperson is 0.5 Probability of Manager Alex choosing a Salesperson is 0.3 Over the last 10 working days, Manager Sam has worked for 6 days and Manager Alex worked 4 days. Only one manager works in a day. Required: Build a Tree diagram to show the probabilities of a Salesperson being selected. Show the different branches of the Tree diagram with all the calculations. Include in the Tree diagram the overall probabilities.

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