Of the high blood pressure patients in a particular clinic, 62% are treated with medication X, the remainder with medication Y. It is known that 1.4% of patients using medication X suffer from fainting spells, as do 2.9% of the patients using medication Y. A patient known by the clinic to have high blood pressure suffers a fainting spell but does not remember which medication she is on. Which medication is she most likely to be taking? (Hint:Let El and E2-treated with X and treated with Y, respectively-be events in the sample space of all patients with high blood pressure in the clinic, and let F be the event of fainting. Find P(X |F) and P(Y |F).)
Of the high blood pressure patients in a particular clinic, 62% are treated with medication X, the remainder with
medication Y. It is known that 1.4% of patients using medication X suffer from fainting spells, as do 2.9% of the patients using medication Y. A patient known by the clinic to have high blood pressure suffers a fainting spell but does not remember which medication she is on. Which medication is she most likely to be taking? (Hint:Let El and E2-treated with X and treated with Y, respectively-be events in the sample space of all patients with high blood pressure in the clinic, and let F be the event of fainting. Find P(X |F) and P(Y |F).)
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