Question

Select the correct answer.
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 have a heart attack and the test predicts it?
OA. 0.099
B.0.201
C. 0.231
D. 0.469
​

Answer 1

Answer:

D. 0.469

Step-by-step explanation:

I just multiplied the family chance of having a heart attack with the accuracy of the stress test.

0.7 x 0.67 = 0.469

I took an Edmentum test and got a 4/5

Answer 2

The correct option is (D) 0.469.

Bayes' Theorem

The conditional probability of an event dependent on the occurrence of another event is equal to the likelihood of the second event multiplied by the probability of the first event, according to Bayes' Theorem.

Given:

The probability that Erin's family to get heart attack is 70% = 0.70.

The probability that test predicts is 67% = 0.67.

Explanation:

Now, according to Bayer's Theorem.

The probability that Erin will have a heart attack and the test predicts it = Probability of Erin's family to get heart attack × The probability that test predicts it.

Let P(E) be the probability that Erin will have a heart attack and the test predicts it.

Then,

P(E) = 0.70×0.67

P(E) = 0.469

Thus, the probability that Erin will have a heart attack and the test predicts it is 0.469.

To know more about prove of Bayer's Theorem, here

https://brainly.in/question/2237008?msp_poc_exp=2

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