Assume 10% of the world’s population has a particular genetic condition. A blood test for the condition is available, but it is not 100% accurate. For those who do not have the genetic condition, the blood test will return a positive result 3% of the time. Additionally, for those who have the genetic condition, the test returns a negative result 15% of the time. Consider the experiment that an individual is randomly selected and tested for the genetic condition. Define the following events:

C = an individual has the genetic condition, C = an individual does not have the genetic condition,
PT = a positive blood test, and
NT = a negative blood test.

Complete the following table of conditional probabilities.

False Negative: P(NT C) =0.07
True positive: P(PT C) =
False Positive: P(PT C^C)
True Negative: P(NT C^C)= 0.94

a. What is the probability that a randomly selected person has the genetic condition given that his or her blood test result was positive?

i. 0.73
ii. 0.52
iii. 0.56
iv. 0.78

b. What is the probability that a randomly selected person does not have the genetic condition given that his or her blood test result was negative?

i. 0.91
ii. 0.94
iii. 0.95
iv. 0.99