# Introduction To Machine Learning IIT-KGP Nptel Week 4 Assignment Answers

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## Table of Contents

**Introduction To Machine Learning IIT-KGP Week 4 Answers (July-Dec 2024)**

**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:

Α. 2/3

Β. 3/4

C. 5/22

D. 2/7

**Answer: D. 2/7**

**Q2.**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?

Α. 4/51

Β. 1/13

C. 4/256

D. 4/663

**Answer: D. 4/663**

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**These are Introduction To Machine Learning IIT-KGP Week 4 Answers**

**Q3**.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**

**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. (Note: (X) represents complement of X)

P(R) = 0.1

P(S) = 0.2

P(W | R, S) = 0.8

P(W | R,S) = 0.7

P(WR, S) = 0.6

P(W-R,S) = 0.5

Calculate P(S | W, R).

A. 1

B. 0.5

C. 0.22

D. 0.78

**Answer: C. 0.22**

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**These are Introduction To Machine Learning IIT-KGP Week 4 Answers**

**Q5.**What is the naive assumption in a Naive Bayes Classifier?

A. All the classes are independent of each other

B. All the features of a class are independent of each other

C. The most probable feature for a class is the most important feature to be considered for classification

D. All the features of a class are conditionally dependent on each other.

**Answer: B. All the features of a class are independent of each other**

**Q6 **.A drug test (random variable T) has 1% false positives (i.e., 1% of those not taking drugs show positive in the test), and 5% false negatives (i.e., 5% of those taking drugs test negative). Suppose that 2% of those tested are taking drugs. Determine the probability that somebody who tests positive is actually taking drugs (random variable D).

A. 0.66

Β. 0.34

C. 0.50

D. 0.91

**Answer**:** A. 0.66**

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**These are Introduction To Machine Learning IIT-KGP Week 4 Answers**

Q7.It is given that P(A/B) = 2/3 and P(A/B) = 1/4. Compute the value of P(B|A).

A. 1/2

B. 3/3

C. 3/4

D. Not enough information.

**Answer: D. Not enough information.**

**Q8.**Consider the following Bayesian network, where F = having the flu and C = coughing:

Find P(C) and P(FIC).

Α. 0.35, 0.23

Β. 0.35,0.77

C. 0.24, 0.024

D. 0.5, 0.23

**Answer: Β. 0.35,0.77**

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**These are Introduction To Machine Learning IIT-KGP Week 4 Answers**

**Q9.**Bag I contains 4 white and 6 black balls while another Bag II contains 4 white and 3 black balls. One ball is drawn at random from one of the bags and it is found to be black. Find the probability that it was drawn from Bag I.

A. 1/2

Β. 2/3

C. 7/12

D. 9/23

**Answer: C. 7/12**

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**These are Introduction To Machine Learning IIT-KGP Week 4 Answers**

**Q10**.In a Bayesian network a node with only outgoing edge(s) represents

A. a variable conditionally independent of the other variables.

B. a variable dependent on its siblings.

C. a variable whose dependency is uncertain.

D. None of the above.

**Answer:.A. a variable conditionally independent of the other variables.**

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**These are Introduction To Machine Learning IIT-KGP Week 4 Answers**

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