CMSC 471 Artificial Intelligence
Pretest

Name: _____________________________________

 

Disclaimer: Please do not worry if you cannot answer a question on this pretest. I don't want this to be a concern for people. Just do your best, and do it without pulling out textbooks or hair.

 

1.) What is your year and major(s)/minor(s)?    e.g. senior CMSC major

 

2.) Which of the following courses have you taken and passed?

   CMSC 341 ___     MATH 221 _____     STAT 355 _____    STAT 451 _____

3.) Are you on the CS game development track?    Are you interested in it?

 

4.) Are you also registered for CMSC 491M (Machine Learning) this semester?

   Yes ___     No _____

5.) What are you most excited about in this class?

 

 

6.) What are you most concerned about regarding this class?

 

 

7.) Express the following English sentence in first-order logic using quantifiers, without using the uniqueness quantifier (∃!).

“Mary has exactly two favorite toys of those she owns.”

Let Fav(p, x) be the predicate that “x is a favorite of pOwns(p, x) be the predicate that “p owns xToy(x) be the predicate that “x is a toy,” and let the universe of discourse be all objects and people in the world.

 

 

 

8.) Define the following terms:

9.) For this problem, consider the binary random variables X, Y, and Z with the following distribution:
 
~X
X
~Y
Y
~Y
Y
~Z
0
0.125
0.125
0
Z
0.25
0.25
0
0.25

 

10.) On the following axis, sketch the plot of the probability density function of a one-dimensional Gaussian random variable x with mean m > 0 and variance s. Label the graph, and specifically those values.

  • Give the mathematical expression for this pdf (without looking it up).