A study of serum cholesterol levels in psychiatric patients revealed that cholesterol level is approximately normally distributed with a mean of 310mg/dl and a standard deviation of 25mg/dl. Prior...

A study of serum cholesterol levels in psychiatric patients revealed that cholesterol level is approximately normally distributed with a mean of 310mg/dl and a standard deviation of 25mg/dl. Prior research has shown that patients who exhibit violent behavior have cholesterol levels of below 220mg/dl. What is the probability of observing a violent psychiatric patient?