The National Center for Health Statistics estimates that 3% of adult American women are underweight, 47% have a healthy weight, and 50% are overweight (including obese individuals). A gynecologist sees 3 patients for a routine exam. (a) What is the probability that the first one has a healthy weight and the next two are overweight? (b) What is the probability that the second patient has a healthy weight and the other two are overweight? What is the probability that the first two are overweight and the last one has a healthy weight? (c) Using the results from (a) and (b), give the probability that, out of any three patients, one has a healthy weight and two are overweight.