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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7. A student has three routes of getting to his school: A, B, and C. Each day he picks one, and his choice is influenced only by his previous day choice: – if he takes route A today, then he will take route A, B, or C next day with respective 1 1 probabilities, 244 - if he takes route B today, then he will take route A, B, or C next day with respective 1 probabilities, 0, 2 - if he takes route C today, then he will take route A, B, or C next day with respective 1 probabilities 3'4'12' (a) Formulate this as a Markov chain by defining its states and giving its (one-step) transition matrix. (b) Find the n-step transition matrix P(n)=2 and 20. (c) If he takes route A today, what is the probability that he will take route A in 2 the day after tomorrow? (d) The probability that he takes route A today is 0.4. Use the results from part (b) to determine the probability that he will take route B 20 days from now. i=0 (a) Use equations лP = π, Σ²0¹₁ = 1 to find the steady state probabilities. Are…
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
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?

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