QUESTION #3 (30 PTS) A medical test for a novel virus that aliets 31% of the US population gives 4% false positives and 5% false negatives. (Refer to Example 1 of Section 4.4 for guidance on this question). a. Create a probability tree diagram for this example with the following notations of events: S: Sick W: Well P: Positive of the virus N: Negative of the virus b. What is the probability that a person tests positive of the virus? 0. What is the probability that a person is sick m tests negative