Answer:
I don't know what the answer is, but the test say B. 201 is wrong
Step-by-step explanation:
The probability after the test was taken that she will not have a heart attack is 0.4653 or 46.53%.
Suppose that there are two events A and B. Then suppose the conditional probability are:
P(A|B) = probability of occurrence of A given B has already occurred.
P(B|A) = probability of occurrence of B given A has already occurred.
Then, according to Bayes' theorem, we have:
[tex]\rm P(A|B) = \dfrac{P(B|A)P(A)}{P(B)}[/tex]
(assuming the P(B) is not 0)
On discovering that her family had a 70% risk of heart attack, Erin took a treadmill test to check her own potential of having a heart attack.
The doctors told her that the reliability of the stress test is 67%.
Applying the Bayes theorem,
P(No heart attack| correctly tested)
= P(No heart attack| correctly tested) P(correctly tested)/ P(No heart attack)
= 0.67 x 0.3 / 0.432
= 0.465
The probability after the test was taken that she will not have a heart attack is 0.4653 or 46.53%.
Learn more about probability ;
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