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%. The test predicted that Erin will not have a heart attack. What is the probability after the test was taken that she will not have a heart attack?

A.) 0.099

B.) 0.201

C.) 0.231

D.) 0.469

Question

Mathematics

Sophie Dorsey

15 December, 14:18

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%. The test predicted that Erin will not have a heart attack. What is the probability after the test was taken that she will not have a heart attack?

A.) 0.099

B.) 0.201

C.) 0.231

D.) 0.469

+2

Answers (1)

Know the Answer?

Emilio Ritter · Answer 1

The probability of Erin not having a heart attack according to her family history would be 30%.

The probability of the test predicting correctly is 67%.

Therefore, the probability of the test correctly predicting that Erin will not have a heart attack would be (0.30) (0.67) = 0.201 or 20.1%.