# Suppose 1 in 25 adults is afflicted with a disease for which

Suppose 1 in 25 adults is afflicted with a disease for which a new diagnostic test has been developed. Given that an individual actually has the disease, a positive test result will occur with probability .99. Given that an individual does not have the disease, a negative test result will occur with probability .98.

Use a probability tree to answer the following questions.

 Disease No Disease Probability of disease 0.04 0.96 Test Positive 0.99 0.02 Test Negative 0.01 0.98

Question 1. What is the probability of a positive test result?

Question 2. If a randomly selected adult is tested and the result is positive, what is the probability that the individual has the disease?

Question 3. If a randomly selected adult is tested and the result is negative, what is the probability that the individual does not have the disease?

• Posted: 5 years ago
Suppose 1 in 25 adults is afflicted with a disease for which

Purchase the answer to view it

Save time and money!
Our teachers already did such homework, use it as a reference!