Mathematics: Suppose that 7% of the general population has a disease and that the test for the disease is accurate 70% of the time. what is the probability of testing positive for the disease?

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Suppose that 7% of the general population has

Mah1937

14.03.2022

0.328

Step-by-step explanation:

Given: The percent of general population has a disease = 7%

⇒ The percent of general population has no disease = $100\%-7\%=93\%$

Also, The test for the disease is accurate 70% of the time.

Probability that test is accurate = 0.7

⇒ The test for the disease is not accurate 30% of the time.

Probability that test is not accurate = 0.3

Now, the probability of testing positive for the disease is given by :-

$0.07\times0.7+0.93\times0.3=0.328$

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