An Introduction to Artificial Intelligence Week 8
Course Name: An Introduction to Artificial Intelligence
Course Link: Click Here
These are An Introduction to Artificial Intelligence Answers Week 8
For Question 1 to 3 –
Q1. Minimum number of values required to store the above Bayes net is
Answer: 9
Q2. Which of the following are true about the above bayesian network?
a. C is conditionally independent of D, given A.
b. C is conditionally independent of D, given E.
c. B is conditionally independent of A, given C.
d. B is conditionally independent of C, given A
Answer: a. C is conditionally independent of D, given A.
These are An Introduction to Artificial Intelligence Answers Week 8
Q3. Given C and D, E is independent of which of the following variables? (Select only one option)
a. A
b. B
c. Both A and B
d. Neither A nor B
Answer: d. Neither A nor B
Q4. Which of the following statements are true?
a. Bayesian network can be used to find the number of satisfying assignments for any Boolean formula
b. Inference in a Bayesian network always has exponential time complexity, irrespective of structure
c. Inference in a Bayesian network may be polynomial time for certain structures of the network
d. Cut sets can simplify inference in Bayesian networks
Answer: c, d
These are An Introduction to Artificial Intelligence Answers Week 8
Q5. Which of the following will always hold?
a. P(a,b) = P(a|b)P(b)
b. P(a,b|c) = P(a|c)P(b|c)
c. 1 = P(a|¬b) + P(a|b)
d. P(a,b|c) = P(b|c)P(a|b,c)
Answer: a. P(a,b) = P(a|b)P(b)
Q6. Consider the following Bayesian network along with the conditional probabilities given below. What is the value of P(C | D,E)? Give the answer as a decimal rounded to 2 decimal places (for example, 0.12 for 0.1234)
P(A) = 0.5, P(B) = 0.4, P(C| A,B) = 0.9, P(C| ¬A,B) = 0.5, P(C| A,¬B) = 0.2, P(C| ¬A,¬B) = 0.1, P(D | C) = 0.8, P(D| ¬C) = 0.2, P(E | C) = 0.1, P(E | ¬C) = 0.4.
Answer: 0.42
These are An Introduction to Artificial Intelligence Answers Week 8
Q7. In the above question, which are the evidence and hidden variables for the computation of P(C | D,E)? Return the answer as evidence variables followed by hidden variables separated by a %, where each group is lexicographically sorted (eg. if evidence is C and D and hidden variable is A, return CD%A).
Answer: DE%C
Q8. Consider the following joint probability matrix. Each row contains a value for x and each column contains a value for y. What is the value of P(y=2|x=2)? Give the answer as a decimal rounded to 2 decimal places (for example, 0.12 for 0.123)
Answer: 0.2
These are An Introduction to Artificial Intelligence Answers Week 8
Q9. You toss a fair coin 3 times. Given that you observed at least one head, what is the probability that you observed at least 2 heads? If the answer is expressed as m/n where m and n are coprime, give the answer as m+n.
Answer: 11
Q10. Which of the following statements are correct?
a. There exists a unique Bayesian network for every joint probability distribution.
b. Multiple valid Bayesian networks can be constructed to represent the same joint probability distributions.
c. Two variables in a bayesian network are conditionally independent if and only if they are d-separated.
d. Bayesian network structures are required to be directed acyclic graphs.
Answer: b, c, d
These are An Introduction to Artificial Intelligence Answers Week 8
* The material and content uploaded on this website are for general information and reference purposes only. Please do it by your own first. COPYING MATERIALS IS STRICTLY PROHIBITED.
These are An Introduction to Artificial Intelligence Answers Week 8
More Solutions of An Introduction to Artificial Intelligence: Click Here
More NPTEL Solutions: https://progiez.com/nptel/
More from PROGIEZ
