# Sample Homework

## Uncertainty and Probabilistic Reasoning (Chapters 13-14)

Not Assigned (optional practice for final exam)

#### 1. Probability

Of the entire population, 2% has a certain disease X. A test Y, which indicates whether or not a person has the disease, is not 100% accurate. If a person has the disease, there is a 6% chance that it will go undetected by the test. However, there is also a 9% chance of "false alarm" (meaning that the person does not have the disease but the test indicates otherwise). A person Z takes a test which later comes out positive (meaning that the test says he has the disease). What is the probability of this person having the disease in reality?

#### 2. Probability

13.6 a-c (Russell and Norvig, p. 489)

#### 4. Bayesian Networks

14.1 a,c, d (Russell and Norvig, p. 533)

#### 5. Bayesian Networks

14.2 a (Russell and Norvig, p. 533-534)

#### 6. Bayesian Networks

14.3 a-b (Russell and Norvig, p. 534)