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1.) Suppose that when patients arrive at the emergency room of a particular hosp

ID: 2958790 • Letter: 1

Question

1.) Suppose that when patients arrive at the emergency room of a particular hospital they are classified according to their condition as critical, serious, or stable. Over the past year, the following data were accumulated:

- 10% of the patients were critical;
- 30% of the patients were serious;
- the rest of the patients were stable;
- 40% of the critical patients died;
- 10% of the serious patients died;
- 1% of the stable patients died.

Given that a patient survived, what is the probability that the patient was classified as serious?

Explanation / Answer

The probability is P(serious|survived) = 0.3*0.9/(0.1*0.6+0.3*0.9+0.6*0.99)=0.2922