A diagnostic test for disease X correctly identifies the disease 95% of the time. False positives occur 6%. It is estimated that 5.66% 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 the test will be positive = %

The probability that, given a positive result, the person has disease X =