In a large population, 3% of the people are heroin users. A new drug test correctly identifies users 93% of the time and correctly identifies nonusers 90% of the time. Answer the following, showing all work for full credit. a) Draw the probability tree for this scenario. Label the outcomes and indicate b) What is the probability that a person who does not use heroin in this c) What is the probability that a randomly chosen person from this population d) What is the probability that a randomly chosen person from this population e) If a person tests positive for heroin, what is the probability that he/she is a all the probabilities on the tree. population tests positive? is a heroin user and tests positive? tests positive? heroin user?