A study of serum cholesterol levels in psychiatric patients of a maximum-security forensic hospital revealed that cholesterol level is approximately normally distributed with a mean of204 milligrams per deciliter (mg/dL) and a standard deviation of22 mg/dL. Prior research has shown that the patients who exhibit violent behavior have cholesterol levels below193 mg/dL. Note: Give your answers as proportions.

(a) What is the probability of observing a psychiatric patient with a cholesterol level below193 g/dL?

(b) For2 randomly selected patients, what is the probability that at least one will have a cholesterol level below193 mg/dL?