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%. what is the probability that erin will not have a heart attack and the test predicts that she will?

Answer-

The probability that Erin will not have a heart attack and the test predicts that she will is, 46.5% .

Hint- This a conditional probability problem where Bayes theorem should be applied.

Solution-

Applying Bayes theorem,

Putting the values,

∴ There is a 46.5% chance that Erin will not have a heart attack even though the test predicts that she will.

b, i believe, but not sure.