# CSCI 3385/5385 AI class Final Exam

CSCI 3385/5385 AI class Final Exam
(4 Questions, 25 pts each)
Name: _____________________
Question 1:
Use the same fuzzy system introduced in Ch9 Reasoning in Uncertain Situations (slide
3~18), what is the corresponding force to balance the pendulum is the current situation is
θ=1.5; dθ/dt=-2? (ALL steps that required for constructing the fuzzy decision need to be
Question 2:
Given the following 4 states:
 S1= Sunny
 S2= Cloudy
 S3= Fogy
 S4= Precipitation
And the transformation table:
S1
S2
S3
S4
S1
0.5
0.2
0.1
0.2
S2
0.3
0.3
0.2
0.4
S3
0.1
0.1
0.4
0.2
S4
0.1
0.4
0.3
0.3
2.1 Please draw the Markov Model.
2.2 Suppose today is cloudy, what is the probability of the next five days remaining
cloudy?
2.3 What is the probability of the next five days being precipitation, sunny, cloudy, fogy,
and precipitation?
Question 3:
Suppose we have following 11 one-dimensional data points as the input dataset, and the
similarity of two objects is the Euclidean distance between them in 1D space. Use any
clustering algorithm you know, please cluster these 11 points into 3 clusters. (ALL steps
that required for constructing the clusters need to be included in your answer)
Question 4:
Please show the decision tree constructed based on the following Training dataset with
“Outlook” as the class label. (ALL steps that required for constructing the decision need

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