Disco Fever Is Randomly Found in One Half of One

Multiple Choice

Disco Fever is randomly found in one half of one percent of the general population.Testing a swatch of clothing for the presence of polyester is 99% effective in detecting the presence of this disease.The test also yields a false-positive in 4% of the cases where the disease is not present.What is the probability that the disease is absent if the test result is negative?

A) 0.9553
B) 0.8994
C) 0.9999
D) 0.9762