Concept explainers
In Exercises 1–22, use Bayes’ theorem to calculate the probabilities.
Medical Screening The results of a trial used to determine the capabilities of a new diagnostic test are shown in Table 9. Use the empirical probabilities obtained from the table to calculate the probability that a person who tests positive actually has the condition.
Table 9 |
|||
Has Condition |
Does Not Have Condition |
Total |
|
Test Positive Test Negative Total |
9 1 10 |
11 179 190 |
20 180 200 |
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