3.- Two percent of the USA population suffers from the Donald Duck\'s disease. T

Question

3.- Two percent of the USA population suffers from the Donald Duck's disease. The Center for Disease Control has a test to diagnose for this disease. The test is 99% effective if the person has the disease and 98% effective if the person doe not have the d see what is the probability that a randomly selected person taking the test: 1 Efchw (a) will have a "Positive" result? will have a "Negative" result? da eskeliu (b) (c) Given that the person tested positive, what is the probability that he/she actually is infected with this disease

Explanation / Answer

a)

P(positive result) =P(DD and positive result)+P(No DD and positive result)

=0.02*0.99+0.98*0.02=0.0394

b)

P(negative result) =P(DD and negative result)+P(No DD and negative result)

=0.02*0.01+0.98*0.98=0.9606

c)

P(DD given tested positive)=P(DD and positive result)/P(posiitve result)

=0.02*0.99/0.0394 =0.5025

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