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Question

Due to high variability in individual responses to the drug X, it is not uncommon that a

patient is overdosed. The following figure shows a Bayesian network that depicts the

probabilities of drug X overdose and the related symptoms.

Rash

O

true 0.8

false 0.3

P(R=true)

Drug X Overdose

Headache

O P(H=true)

true 0.5

false 0.6

P(O=true)

0.15

Dizziness

O

true 0.7

false 0.1

P(D=true)

Using this network, please answer the following questions. For each question, write

the equation and compute the final probability.

What is the probability of a patient being overdosed of drug X if he/she

1. has a rash, but no headache or dizziness? (5 points)

2. has a rash and a headache, but no dizziness? (5 points)

3. has dizziness but no rash and no headache? (5 points)

4. has a rash, a headache and dizziness? (5 points)

Fig: 1