NPTEL Introduction to Machine Learning Assignment Answers Week 4 2022
NPTEL Introduction to Machine Learning Assignment Answers Week 4 Q1. A man is known to speak the truth 2 out of 3 times. He throws a die and reports that the number obtained is 4. Find the probability that the number obtained is actually 4: a. 2/3 b. 3/4 c. 5/22 d. 2/7 Answer: d. 2/7 Q2. Consider the following graphical model, mark which of the following pair of random variables are independent given no evidence? A. a,b B. c,d C. e,d D. c,e Answer : A. a,b Q3. Two cards are drawn at random from a deck of 52 cards without replacement. What is the probability of drawing a 2 and an Ace in that order? a. 4/51 b. 1/13 c. 4/256 d. 4/663 Answer: d. 4/663 Q4. Consider the following Bayesian network. The random variables given in the model are modeled as discrete variables (Rain = R, Sprinkler = S and Wet Grass = W) and the corresponding probability values are given below. P(R) = 0.1 P(S) = 0.2 P(WR, S) = 0.8 P(WIR,S)= 0.7 P(WR, S) = 0.6 P(WR,S) = 0.5 Calculate P(S| W, ...