Suppose that a certain test for leukemia has been found to have the following reliability.

Among those who do have leukemia, the test is correct 98% of the time.

Among those who do not have leukemia, the test is correct 94% of the time.

Currently, about 0.13% of the US population has leukemia.

(a) Draw a tree diagram to represent this situation [This you'll have to do on paper, and submit it via the assignment "Final Exam handwritten work"]

(b) Interpret this situation as we have done in the course using an ideal data set of 100,000,000 people. Fill in a definite number in each cell of the table, not just an expression.

	tests positive	tests negative	total
has leukemia
doesn't have leukemia
total

(c) What is the probability that a randomly selected person receives a false negative?

(d) Is the probability in part (c) conditional or unconditional, and how can you tell?

(e) If you test positive, what is the probability that you actually have leukemia? Write your answer as a fraction.

(f) Is the probability in part (e) conditional or unconditional, and how can you tell?