According to data from the Diabetes Foundation, 13.8\% of Spanish people over 18 years old have diabetes, although 43\% of them do not know they have it. A Spanish person over 18 years old is chosen at random. a) (1 point) What is the probability that they are diabetic and know it? What is the probability that they are not diabetic or do not know they are? b) (1.5 points) A certain test correctly diagnoses 96\% of positive diabetes cases, but gives 2\% false positives. If a Spanish person over 18 years old tests positive, what is the probability that they are actually diabetic?
According to data from the Diabetes Foundation, 13.8\% of Spanish people over 18 years old have diabetes, although 43\% of them do not know they have it. A Spanish person over 18 years old is chosen at random.
a) (1 point) What is the probability that they are diabetic and know it? What is the probability that they are not diabetic or do not know they are?
b) (1.5 points) A certain test correctly diagnoses 96\% of positive diabetes cases, but gives 2\% false positives. If a Spanish person over 18 years old tests positive, what is the probability that they are actually diabetic?