According to a recent poll cholesterol levels in healthy adults are normally distributed with a mean of 209 mg/dL and a standard deviation of 35 mg/dL. A random sample of 32 h ealthy adults is...

According to a recent poll cholesterol levels in healthy adults are normally distributed with a mean of 209 mg/dL and a standard deviation of 35 mg/dL. A random sample of 32 healthy adults is selected. Find the probability that the total cholesterol level in the sample of 32 adults will be less than 218. (hint: Central Limit Theorem)