A test for a disease has been developed. It is not 100% accurate and works as follows. The disease (D) occures 1 in a 1,000 in a population (i.e., P(D)= 0.001) Given that a person has the disease (D), the test will give a positive result (Y) with probability 0.95. That is P(Y|D)=0.95. Given that a person does not have the disease (D'), the test will give a positive result with probability 0.05. Part

(a) What is the probability that the test result of a randomly chosen person in the population is positive? 1.5 points Answer here--->

Part (b) Given that a randomly selected person is tested and the result is positive (Y), 1.5 points What is the probability that the prson has the disease (D)? Answer here--->