3. In a study of 36 randomly selected adult men, the number who have high cholesterol is counted. (Assume that 11.42% of men have high cholesterol.) a. How many ofthese 36 men do you expect to have high cholesterol? (Round to 1 decimal place.) (3 pt) b. What is the standard deviation for the number ofthese 36 men that have high cholesterol? (Round to 2 decimal places.) (3 Pt) c. What is the probability that at least 9 of these 36 men will have high cholesterol? (3 pt) 4. The CDC guidelines for cholesterol health are applied to both men and women, but men and women have different distributions of total cholesterol. a. What approximate percent of women have a total cholesterol that would be considered "healthy?\" (For this problem, give your answer as a percent, not a decimal. Round your answer to one decimal place.) (3 pt) b. What approximate percent of men have a total cholesterol that would be considered \"healthy?" (For this problem, give your answer as a percent, not a decimal. Round your answer to one decimal place.) (3 pt) 5. A group of 128 randomly chosen adult men is selected. How many ofthem do you expect to have a total cholesterol of less than 200 mg/dL? (Round your answer to one decimal place.) (3 pt) Scenario 1: Cholesterol Cholesterol is a type of fat found in the blood. It is measured as a concentration: the number of milligrams of cholesterol found per deciliter of blood (mg/dL). A high level of total cholesterol in the bloodstream increases risk for heart disease. For this problem, assume cholesterol in men and women follows a normal distribution, and that "adult man\" and \"adult woman" refers to a man/woman in the US. over age 20. For adult men, total cholesterol has a mean of 187 mg/dL and a standard deviation of 44 mg/dL. For adult women, total cholesterol has a mean of 192 mg/dL and a standard deviation of 43 mg/dL. The CDC defines "high cholesterol" as having total cholesterol of 240 mg/dL or higher, "borderline high\" as having a total cholesterol of more than 200 but less than 240, and \"healthy\" as having total cholesterol of 200 or less. A study published in 2017 indicated that about 11.42% of adult men and 13.22% of adult women have high cholesterol. Use this scenario for problems 1 - 8