The probability that Andrew has heart disease is 0.9. Andrew takes a test for the disease that has an accuracy rate of 75%. What

Question

ad-work [718]

3 years ago

9

The probability that Andrew has heart disease is 0.9. Andrew takes a test for the disease that has an accuracy rate of 75%. What

is the probability that Andrew has heart disease and the test accurately predicts it?

Mathematics

1 answer:

djverab [1.8K] · Answer 1 · 2022-03-12T00:35:22+03:00

The probability that Andrew has heart disease is 0.9. Andrew takes a test for the disease that has an accuracy rate of 75%. What is the probability that Andrew has heart disease and the test accurately predicts it?

Answer: The probability that Andrew has heart disease $=0.9$

Also we know that the accuracy rate of test $=75\%$ or $0.75$

The given two events are independent.

Therefore, the probability that Andrew has heart disease and the test accurately predicts it $=0.9 \times 0.75 =0.675$