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?

Need your ASSIGNMENT done? Use our paper writing service to score better and meet your deadline.


Click Here to Make an Order Click Here to Hire a Writer