\item Let  be a relation on the set . Draw the diagraph Decide (and justify)  whether the relation is reflexive. Decide (and justify)  whether the relation is symmetric. Decide (and justify)  whether the relation is transitive. Decide (and justify)  whether the relation is antisymmetric. Is and equivalence relation?  Why or why not.

 How many different “words” can you make using all the letters of PELLISSIPPI?

Let and .    1)  Find

 Consider the following graph Use Dijkstra’s algorithm to find the shortest path from vertex 0 to 3.  

Consider the following graph a)  (4 points) Find the adjacency matrixb)  (4 points) Find the number of 3 paths from A to D.C) (4 points) Find the incidence matrix

Prove by induction that for all integers

You trained a Decision Tree on the Heart Disease dataset and tested it on the same data used for training. The model achieved 100% accuracy. What does this most likely indicate?

A hiring algorithm rejects female applicants at a higher rate than male applicants. This is an issue of:

You are analyzing customer data and want to group customers with similar purchasing behaviors, but there are no labeled categories in your dataset. Which algorithm is most suitable?

A logistics company uses AI to recommend delivery routes. This is an example of: