Suppose a psychiatric disease of interest is classified into four categories: no disease, minimal disease, moderate disease, and severe disease. It is estimated that 70% of the population is not diseased, 15% has the minimal disease, 10% has the moderate disease, and 5% severe disease.

Researchers have created a new screening test that classifies patients as either positive or negative for the disease of interest.

On this screening test, 10% of those with no disease test positive, 50% of those with minimal disease test positive, 80% of those with moderate disease test positive, and 95% of those with severe disease test positive.

1. Complete the following table.

Round your answers to twodecimal places.

Probability	Estimate
P(Negative | No Disease)
P(Negative | Minimal Disease)
P(Negative | Moderate Disease)
P(Negative | Severe Disease)

2. What is the probability of testing negative and having no disease?

Round your answer to twodecimal places

3. What is the probability of testing negative on the new screening test?

4. Suppose you receive a negative test result on the new screener.What is the probability that you have no disease?

5. Suppose you receive a negative test result on the new screener.What is the probability that you have any form (minimal, moderate, or severe) of disease?