Equine protozoal myeloencephalitis (EPM) is a neurological disease in horses. Suppose that we have a diagnostic test that has a sensitivity of 0.95 and a specificity of 0.85 for EPM. In addition, suppose that the prevalence of the disease in the horse population is 2%. a. What is the probability that a randomly selected horse from the population of all horses will be tested positive? b. Researchers are interested in the positive predictive value (PPV) of a diagnostic test, which is the probability that the animal is diseased, given that it is tested positive. Calculate the PPV of the test.