In a certain probability problem, we have 12 variables: A, B1, B2, ..., B10, C. Variable A has 8 possible values. • Each of variables B1, .., B10 have 5 possible values. Each B; is conditionally indepedent of all other 9 B; variables (with j != i) given A. Variable C has 6 possible values. Variable C is totally independant of all other variables in the domain. Based on these facts: Part a: How many numbers do you need to store in the joint distribution table of these 12 variables? Part b: What is the most space-efficient way (in terms of how many numbers you need to store) representation for the joint probability distribution of these 12 variables? How many numbers do you need to store in your solution?

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...
icon
Related questions
Question
In a certain probability problem, we have 12 variables: A, B1, B2, .., B10, C.
Variable A has 8 possible values.
Each of variables B1, ..,
have 5 possible values. Each B; is conditionally indepedent of all other 9 B; variables (with j != i) given A.
B10
Variable C has 6 possible values. Variable C is totally independant of all other variables in the domain.
Based on these facts:
Part a: How many numbers do you need to store in the joint distribution table of these 12 variables?
Part b: What is the most space-efficient way (in terms of how many numbers you need to store) representation for the joint probability distribution of these 12
variables? How many numbers do you need to store in your solution?
Transcribed Image Text:In a certain probability problem, we have 12 variables: A, B1, B2, .., B10, C. Variable A has 8 possible values. Each of variables B1, .., have 5 possible values. Each B; is conditionally indepedent of all other 9 B; variables (with j != i) given A. B10 Variable C has 6 possible values. Variable C is totally independant of all other variables in the domain. Based on these facts: Part a: How many numbers do you need to store in the joint distribution table of these 12 variables? Part b: What is the most space-efficient way (in terms of how many numbers you need to store) representation for the joint probability distribution of these 12 variables? How many numbers do you need to store in your solution?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON