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?
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Answer: The probability that Andrew has heart disease =0.9=0.9
Also we know that the accuracy rate of test =75\%=75% or 0.750.75
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=0.9×0.75=0.675
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