According to a poll, cholesterol levels in healthy adult citizens of a major city average about 235 mgIdL with a standard deviation of 40 mgIdL and are roughly Normally distributed. The cholesterol levels of a sample of 43 healthy adults is taken. Complete parts a through d. a) What is the probability that the mean cholesterol level of the sample will be no more than 235? (Type an integer or a decimal. Round to three decimal places as needed.) b) What is the probability that the mean cholesterol level of the sample will be between 225 and 245'? (Type an integer or a decimal. Round to three decimal places as needed.) c) What is the probability that the mean cholesterol level of the sample will be less than 215? (Type an integer or a decimal. Round to three decimal places as needed.) d) What is the probability that the mean cholesterol level of the sample will be greater than 245? (Type an integer or a decimal. Round to three decimal places as needed.)