It's known that 3 % of people in a certain population have the disease (and 97% do not

have the disease).

A blood test gives a positive result (indicating the presence of disease) in 98% of cases

when the person has the disease, and in 4% of cases when the person does not have a

decease.

One person is chosen at random from population and is tested.

a. Probability that the test gives the positive result for this person is ____________________.

b. If the test result is positive for this person, then the probability that this person actually has

the disease is ______