Many diagnostic tests for detecting the presence of disease are based on biomarkers;

broadly speaking, a biomarker is any biological indicator that can be measured, such as

blood pressure or fasting blood glucose level.

Consider a diagnostic test for a hypothetical disease based on measuring the amount of a

certain biomarker present in blood. High levels of the biomarker are often found in individuals

with the disease, but a number of non-disease conditions can also cause high levels

of the biomarker. Individuals without the disease have biomarker levels that are normally

distributed with mean 1.6 ng/mL (nanograms per milliliter of blood), and standard deviation

0.50 ng/mL. Individuals with the disease have biomarker levels that are normally

distributed with mean 5 ng/mL and standard deviation 1.2 ng/mL. Values of 2.5 ng/mL

and higher constitute a positive test result.

i. Compute the accuracy of the test for those who have the disease and the accuracy of

the test for those who do not have the disease. Use R code for answer