A medical test is available to determine whether a patient has a certain disease. To determine the accuracy of the test, a total of 10000 people are tested. Only 300 of these people have the disease, while the other 9700 are disease free. Of the disease-free people, 9500 get a negative result, 200 and get a positive result. The 300 people with the disease all get positive results. Round your answers to four decimal places, if necessary.

(a)Find the probability that the test gives the correct result for a person who does not have the disease.

(b) find the probability that the test gives the correct result for a person who has a disease

(c) Given that the person gets a positive result, what is the probability that the person actually has the disease?

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