A diagnostic test for disease X correctly identifies the disease 94% of the time. False positives occur 10%. It is estimated that 2.79% of the population suffers from disease X. Suppose the test is applied to a random individual from the population. Compute the following probabilities. (It may help to draw a probability tree.)

The percentage chance that, given a negative result, the person does not have disease X = %

The percentage chance that, the person will be misclassified = %