Solve for a, b, c, d, e

The mean serum cholesterol level of a large population of overweight children is 220 milligrams per deciliter (mg/dl), and the standard deviation is 16.3 mg/dl. Assume the serum cholesterol level variable is normally distributed If a random sample of 200 overweight children is selected, answer the following questions. Draw a diagram for each part showing the normal curve and the area in consideration. a) find the probability that the mean will be less than 216 mg/dl. b) find the probability that the mean will be more than 238 mg/dl. c) find the probability that the mean will be between 200 mg/dl. 240 mg/dl. d) Determine the range of the mean serum cholesterol level that you would expect 95% of these students to have. e) Approximately how many children have the mean serum cholesterol level between 200 mg/dl. 240 mg/dl