Intro to Machine Learning Unsupvised algorithm Practice midterm
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1. If A and B are mutually exclusive, thenP(A|B) = a. 0
b. P(A & B)
c. P(A orB)
d. P(A)
e. P(B)
2. We flip a fair coin 4 times. What is the probability that head comes up 0 times?
a. 0.0625
b. 0.5000
c. 0.
d. 0.2500
e. 0.1600
3. If P(A) = 0.5, P(B) = 0.5, and P(B|A) = 0.5 then, P(A|B) is:
a. 0
b. 0.125
c. 0.25
d. 0.5
e. 1
4. In the following image, which two clusters are the closest if we use cluster centroid distance as the measurement.
5.
If 
What is 
T 
? (V-transpose times W. Wis a 3 x 3 matrix)
6. Let’s say you were playing on a slot machine, and you pulled the handle 5 times. Which distribution best describes the number of times you have won from the slot machine. Assuming the percentage of winning for each pull is the same.
a. Poisson
b. Binomial
c. Normal
d. Uniform
e. Pareto
7. Suppose 1% of the online credit card transactions are fraudulent and 0.2% of the offline credit card transactions are fraudulent. Among all transactions, 90% of the credit card transactions are offline.
Given that the transaction is fraudulent, what is the chance that it is an online transaction.
8. What is the mean (centroid) and the cost of the cluster made up of the 2 points shown below? (Assume the centroid for this cluster has converged). Closeness is measured using the Euclidean distance.
9. Which one of the eiganvectors of A is the first ( most important) principal component vector.
10.
We would like the use a Poisson distribution to model the number of calls in a minute. We know that on average we receive 15 calls in a minute. Write down the expression for the probability of observing the sample X:
X = [x1, x2, … xn] . , where xi is the number of calls received in a given minute.
2023-08-29