A certain disease is found in one person in 5000. If a person does have the disease, the test will show a positive result 93% of the time. If a person does not have the disease, the test in 1 out of 500 cases will give a false positive result. (hint: tree diagram)
a) Determine the probability of getting a positive test result.
b) What is the probability of getting a negative test result?
c) Given that you got a positive test result, what is the probability that you are actually healthy (i.e. that you do not have the disease)?
d) If you actually have the disease, what is the probability that you will get a negative test result?
e) If you are actually healthy, what is the probability that you will get a negative test result?
f) Given that you received a negative test result, what is the probability that you do have this disease?