Question: Consider the following joint probability distribution, p. Find a directed graph G such that G is a perfect I-map for p. Is G the

Consider the following joint probability distribution, p. Find a directed graph G

Consider the following joint probability distribution, p. Find a directed graph G such that G is a perfect I-map for p. Is G the only directed graph with this property? A B C p(A, B, C) 0 0 0 1/4 0 0 1 1/4 0 1 0 1/24 0 1 1 1/8 1 0 0 1/8 1 0 1 1/8 1 1 0 1/48 1 1 1 1/16

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

a. For a population defined as X={1,2}, verify Central Limit Theorem (CLT) for a sample size of 4. b. For a population defined as X={1,2} between what two sample means would you expect middle 75% of...

MATHEMATICS FOR MACHINE LEARNING Marc Peter Deisenroth A. Aldo Faisal Cheng Soon Ong Contents Foreword 1 Part I Mathematical Foundations 9 1 Introduction and Motivation 11 1.1 Finding Words for...

Give the typing rules for Peano natural numbers and their eliminator.(ii) Using the rules given above, define the addition function.] (iii) Let a binary tree be either a leaf Leaf or a node...

Algorithms in Artificial Intelligence (or, the old name: Introduction to Algorithmic Decision Making) Part 1 Based on slides by David Sarne and Lirong Xia Course Tentative Schedule Introduction...

For continuous random variables X and Y , taking on continuous values x and y respectively with probability densities p(x) and p(y) and with joint probability distribution p(x, y) and conditional...

QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...

Concordia University Department of Economics ECON 221/2 - Sections A, B, and BB Instructors: B. Campbell, G. Tsoublekas Fall 2015 - ASSIGNMENT 1 Due on Monday, October 5, 2015, before 3:00 p.m. Name:...

(iii) Now express your decision rule instead using only the quantities p(Ck), p(Cj ), p(x|Ck), p(x|Cj ), and relate it to the diagram above. [2 marks] (iv) If the classifier decision rule assigns...

Describe an algorithm to generate G2 from G1. [12 marks] How could this algorithm be used to generate the transitive closure of a graph given its adjacency matrix? [5 marks] What is the cost of this...

Prove that n7 n is divisible by 42, for any integer n. Prove that n7 n is divisible by 42, for any integer n.

Yuen Li was terminated from his employment with Exit Ltd. in July 2020. In November, he began work as a commission salesperson for Kolex Ltd., a Canadian public corporation. Yuen has asked you to...

Question 4 7 of 8 5 An insured whose coverage includes a waiver of premium provision suffers a permanent and total disability. How long will premiums be waived? A . Until the insured reaches age 5 9...

1. How do you get QuickBooks financial reports to excel? And why would you do that? 2. When reconciling a bank account, where does the value of the Beginning Balance come from? Where does the Ending...

Bilbo Baggins wants to save money to meet three objectives. First, he would like to be able to retire 30 years from now with retirement income of $29,000 per month for 25 years, with the first...

Design a minimum-mass symmetric three-bar truss (the area of member 1 and that of member 3 are the same) to support a load P, as was shown in Fig. 2.9. The following notation may be used: Pu = P cos...

10. Consider two machines. Machine i operates for an exponential time with rate i and then fails; its repair time is exponential with rate i,i = 1, 2. The machines act independently of each other....

9. The birth and death process with parameters n = 0 and n = ,n > 0 is called a pure death process. Find Pij (t).

8. Consider two machines, both of which have an exponential lifetime with mean 1/. There is a single repairman that can service machines at an exponential rate . Set up the Kolmogorov backward...