Question 1. A new unusual disease is spreading. Currently one in every one million people has it. A company develops a test for the disease which they say is 99% accurate, in the sense that a person with the disease will test positive 99% of the time, and a person who doesn't have it will test negative 99% of the time. a) Write what it means for the test to be 99% accurate as two conditional probabilities. Use the events test positive, test negative, sick, not sick. b) If you test positive, what are the odds you have the disease? Hint: first write this as a conditional probability, then use Bayes' Theorem