Question

We have the following statements: 1 percent of the population is infected by a disease. We...

We have the following statements:

1 percent of the population is infected by a disease.

We have a test, a, that has a sensitivity of 90% and a specificity of 95%.

Sensitivity means that a person will test positive IF they are in fact infected.

Specificity means that a person will test negative IF they are in fact not infected.

The question is:

What is the probability that a random tested person gets a positiv result?

And what is the probability that a random tested person, that gets a positiv result from the test actually is

infected?

Math   Statistics-And-Probability   
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