Explain object model and dynamic model in detail with the help of suitable diagrams.

Draw class diagram for online shopping system. Make necessary assumptions.

What is OOAD? Explain basic principles of object orientation.

Explain FP Tree Growth Algorithm with a suitable example.

Compute the Linear Discriminant projection for the following two-dimensional dataset:

= (4, 2), (2, 2), (3, 2), (3, 5), (3, 4)

= (8, 7), (9, 6), (7, 7), (9, 8), (10, 9)

Explain STOP & WAIT ARQ.

What is Packet Switching? What is Circuit Switching? Compare them.

What is OSI model? What is TCP/IP model? Compare them.

For the given points of two classes red and blue:

Blue: { (1,2), (2,1), (1,-1), (1,-2)}

Red : { (3,1), (4,3), (3,5), (6,3)}

Plot a graph for the red and blue categories. Find the support vectors and optimal separating line.

Explain K-Nearest Neighbors classification Algorithm with a suitable example.

Explain Naïve Bayes Classification Algorithm with a suitable example.

Explain Decision Tree algorithm with the help of a suitable example.

Find the scalar component of projection of the vector  on the vector 

What is logistic regression? Explain with the help of a suitable example.

Briefly discuss the various Ensemble methods.

Prove that following properties hold for fuzzy sets
(i) Commutativity

(ii) Associativity

(iii) Distributivity

(iv) Demorgan’s Law

A tailor needs at lease 40 large buttons and 60 small buttons. In the market, buttions are available in two boxes or cards. A box contains 6 large and 2 small buttons and a card contains 2 large and 4 small buttons. If the cost of a box is $3 and cost of a card is $2, find how many boxes and cards should be purchased so as to minimize the expenditure.

Show that the lines, given below, Intersect each other.

and 

Explain Forward Chaining Systems and Backward Chaining Systems with a suitable example for each.

Discuss the transforming an FOPL Formula into Prenex Normal Form with suitable example. Also, discuss Skolomization with a suitable example.