Solutions to some more sample questions

Solutions to some more sample questions 1. Use the similarity matrix in Table 8 to perform single and complete link hierarchical
clustering. Show your results by drawing a dendrogram. The dendrogram should clearly
show the order in which the points are merged. (20 points)
P1
P2
P3
P4
P5
P1
1.00
0.10
0.41
0.55
0.35
P2
0.10
1.00
0.64
0.47
0.98
P3
0.41
0.64
1.00
0.44
0.85
P4
0.55
0.47
0.44
1.00
0.76
P5
0.35
0.98
0.85
0.76
1.00
2. Given the Bayesian network shown above compute the following probabilities. (15
points)
(a) P(B = good, F = empty, G = empty, S = yes).
(b) P(B = bad, F = empty, G = not empty, S = no).
(c) Given that the battery is bad, compute the probability that the car will start.
Solution: 3. In case of hierarchical clustering, define four different ways of computing
inter-cluster similarity. You can explain with the help of diagrams. (10
points)
Section 8.3.1 (Figure 8.14)