45% of a Population Are Infected with a Certain Disease

Multiple Choice

4.5% of a population are infected with a certain disease.There is a test for the disease,however the test is not completely accurate.94% of those who have the disease will test positive.However 3.7% of those who do not have the disease will also test positive (false positives) .What is the probability that any given person will test positive? Round your answer to three decimal places if necessary.

A) 0.94
B) 0.042
C) 0.078
D) 0.035
E) 0.489