3. (10%) Suppose that using a rapid influenza diagnostic test (RIDT) the probability of a false positive is 0.1 and the probability of a false negative is 0.2. According to the historical data, a person suggested by a doctor to use the rapid test have a 60% chance of contracting an influenza. If a person suggested by a doctor to use the rapid test and the test result is negative, find the probability that this person contracting an influenza.[Note that a false positive is a test result that indicates a contracting when one does not; a false negative is a test result that indicates no contracting while in fact one does.]