3. According to the Center for Disease Control and Prevention (CDC), the mean total cholesterol level for persons 20 years of age and older in the United States from 2007 to 2010 was 197 mg/dl with a standard deviation of 35 mg/dl. And, the cholesterol levels for the population are normally distributed. a. What is the probability that a randomly selected adult from the population will have a total cholesterol level of less than 183 mg/dl'? b. What is the probability that a randomly selected sample of 150 adults from the population will have a mean total Cholesterol level ofless than 183 mg/dl? c. What is the probability that a randomly selected sample of 115 adults from the population will have a mean total cholesterol level of more than 180 mg/dl