A scientist studies the relationship between obesity and death. Participants are classified and 20% of them are heavily overweight, 30% are light overweight, and 50% are normal. Of the heavy overweight ones, 30% high blood sugar; of the light overweight, 10% high blood sugar; and of the stable, 2% high blood sugar. 1. A) Given that a participant has high blood sugar, what is the conditional probability that this participant was classified as heavy overweight? Light overweight? And as normal?
1. B) Are events {a patient has high blood sugar) and {a patient was classified as light overweight} independent? Justify your answer.