Please answer question #1 with all the parts a,b,c with steps for each of them

1. (10 points) The mean blood cholesterol concentration of a large population of adult males (50-60 years old) is 200 mg/dL with a standard deviation of 20 mg/dL. Answer the following questions: ' . (a) Assuming normality, what is the probability that a randomly selected individual from this age group will have. a blood cholesterol level below 250 mg/dL? (b) Assuming normality, what is the probability that a randomly selected individual from this age group will have a blood cholesterol level above 225 mg/dL? (c) What is the probability that the mean of a sample of 100 men from this age group will have a value below 204 mg / dL