In a population, 5% of the people have a very serious disease. A sreening test has been designed to screen for the disease. Of those people that have the disease, 1% will test negative. Of the people...

In a population, 5% of the people have a very serious disease. A sreening test has been designed to screen for the disease. Of those people that have the disease, 1% will test negative. Of the people that don't have the disease, 5% will test positive Let D be the event that you have the disease Let W be the event that you are well (you don't have the disease). Let P be the event that you test positve. Let N be the event that you test negative. With this information, we know the following probabilities:

P(D) = 0.05

P(N|D) = 0.01

P(P|W) = 0.05

what is the probability P(W) that you don't have the disease?