Question
A domain is modeled by three Boolean variables Toothache, Cavity and Catch. They stand for the propositions 'the patient has a toothache'; 'the patient has
A domain is modeled by three Boolean variables Toothache, Cavity and Catch. They stand for the propositions 'the patient has a toothache'; 'the patient has a cavity'; 'the dentist catches in the patients tooth with his nasty steel probe', respectively.
The table shows the joint probabilities of the model.
| Toothache | ^toothache | ||
| Catch | ^catch | catch | ^catch |
Cavity | 0.108 | 0.012 | 0.072 | 0.008 |
^cavity | 0.016 | 0.064 | 0.144 | 0.576 |
Consider the following statements.
(i) P(^toothache|cavity) = 0.34
(ii) The variables Toothache and Catch are conditionally independent given Cavity
= true.
Which of these statements are true
| a. | only (i) is true |
| b. | only (ii) is true |
| c. | both (i) and (ii) are true |
| d. | both (i) and (ii) are false. |
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