Show that the statement p (A, B|C) = p(A|C) p(B|C) is equivalent to both p (A|B, C)
Question:
Show that the statement p (A, B|C) = p(A|C) p(B|C) is equivalent to both p (A|B, C) = p(A|C) and p (B|A, C) = p(B|C).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (QA)
p A BC pAC pBC shows A and B are conditionally indepen...View the full answer
Answered By
Jayshree Rathi
Hello Students!
This is Jayshree Rathi. I work on a number of renowned student-centric channels such as Chegg, coursehero, as a certified private tutor.
If you are looking for relevant and original content to complete your assignments, essays, and homework, then contact me and within the promised time, I will deliver you your personalized academic work and help you score the best.
4.80+
1+ Reviews
10+ Question Solved
Related Book For
Artificial Intelligence Structures And Strategies For Complex Problem Solving
ISBN: 9780321545893
6th Edition
Authors: George Luger
Question Posted:
Students also viewed these Computer science questions
-
Show that the statement of conditional independence is equivalent to each of the statements P(X,Y |Z) = P(X Z)P(Y | Z) P(X |Y, Z) = P(X|Z) and P(BX,Z)= P(Y|Z). and P(B|X, Z) = P(Y | Z).
-
The product of two elementary matrices is an elementary matrix. In this case answer true if the statement is always true and false otherwise. In the case of a true statement, explain or prove your...
-
In each case either show that the statement is true, or give an example3 showing it is false. (a) If a linear system has n variables and m equations, then the augmented matrix has n rows. (b) A...
-
The cost of a can of Coca Cola in 1960 was $0.10. The exponential function that models the cost of a Coca Cola by year is given below, where t is the number of years since 1960. C(t) = 0.10e0.0576t...
-
Thress Industries just paid a dividend of $1.50 a share (i.e., D0 = $1.50). The dividend is expected to grow 5% a year for the next 3 years and then 10% a year thereafter. What is the expected...
-
Complete the identity. sin 2 x - 1 =
-
All of the following would be considered a company with high operating leverage, except a(n) a. airline company. b. t-shirt kiosk in a mall. c. hotel chain. d. amusement park.
-
In 2010, Jennifer (Jen) Liu and Larry Mestas founded Jen and Larrys Frozen Yogurt Company, which was based on the idea of applying the microbrew or microbatch strategy to the production and sale of...
-
1. A planet is revolving around the sun in an elliptical orbit. The mass of planet is m, angular momentum of planet about sun is L, and length of semi major axis is a and eccentricity is e. Time...
-
In manufacturing a product, 85% of the products that are produced are not defective. Of the products inspected, 10% of the good ones are seen as defective and not shipped whereas only 5% of the...
-
Consider the situation where bit strings of length four are randomly generated. Demonstrate whether or not the event of production of bit strings containing an even number of 1s is independent of the...
-
Verify each limit using the limit definition. For example, in Exercise 9, show that |3x 12| can be made as small as desired by taking x close to 4. 9. 11. lim 3x= 12 x-A lim (5x 2) 17
-
True Or False Maintaining client records is a frivolous expenditure of valuable time.
-
How does interference with prospective contractual relations differ from the tort of interference with existing contractual relations?
-
In an effort to reduce the number of malpractice cases, some legislatures have modified a. the informed-consent doctrine. b. statute of limitations and evidentiary rules. c. rules regarding burden of...
-
True Or False A plaintiff who is suing for malpractice will be successful if they can prove that the defendant professional was negligent even if they cannot prove that this negligence was the...
-
Under what circumstances is someone liable for abuse of process?
-
Eva Washington wants to measure her divisions product quality. Link an appropriate performance measure with each balanced scorecard perspective: Product Quality 1. Financial (investors) 2. Learning...
-
Periwinkle Company is a multinational organization. Its Parts Division is located in Lavender Land, while its Assembly Division is located in North Orchid. During the current year Periwinkle Companys...
-
Consider the following recursive mergesort algorithm (another classic divide and conquer algorithm). Mergesort was first described by John Von Neumann in 1945. The basic idea is to divide an unsorted...
-
Matrix multiplication plays an important role in a number of applications. Two matrices can only be multiplied if the number of columns of the first matrix is equal to the number of rows in the...
-
Consider the following portions of two different programs running at the same time on four processors in a symmetric multicore processor (SMP). Assume that before this code is run, both x and y are...
-
1. Given the following quadratic sequence:-2:0:37 23. 1.1 Write down the values of the next two terms, 1.2 Determine T246 1.3 Which term of the sequence will be equals to 322? 1.4 Between which two...
-
A hospital uses cobalt-60, which has a half-life of 5.2 years, for radiotherapy treatment for its cancer patients. The hospital currently has a 70 g supply of cobalt-60, and it requires at least 55 g...
-
In this example, the following assumptions have been made The average customer cost is $7 (C) The profit revenue stream fm the customer is $30 in each period (R) The discount rate of 10% (r)...
Study smarter with the SolutionInn App