According to a recent study, these two tests had an average sensitivity and specificity noted in the table below: Rapid Test type Sensitivity Specificity P( + result | Has COVID-19) P( - result | Does not have COVID-19) Molecular 95.2% 98.9% Antigen 56.2% 99.5% Assume we are considering a population where the prevalence of COVID-19 is 6%. (That is, the probability of a randomly selected individual having COVID-19 is 0.06) 1. (8 points) Consider the sensitivity and specificity of the rapid molecular test in the table above. Given this information, and the information pertaining to the assumed prevalence of COVID19... a. Construct a tree diagram and label it with the appropriate percents/probabilities. b. Assume a population of 100,000 individuals, how many of these individuals would have a false negative test result? c. Suppose a person tested negative, what is the probability that they actually do have COVID-19? That is, calculate P ( Has COVID-19 | - test result ) or (# of false negatives / total # of negative results)