Scenario 1: Cholesterol please answer the following questions, thanks

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 U.S. over age 20. For adult men, total cholesterol has a mean of 188 mg/dL and a standard deviation of 43 mg/dL. For adult women, total cholesterol has a mean of 193 mg/dL and a standard deviation of 42 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 11.3% of adult men and 13.2% of adult women have high cholesterol. Use this scenario for problems 1 - 8.

1.We will consider several random variables for this scenario in the following problems. For each random variable below, determine if it follows a normal distribution, a binomial distribution, or neither.(2 pt ea)

A. NormalB. BinomialC. Neither

___ The total cholesterol in U.S. men over age 20.

___ The sampling distribution of sample means for when 25 random adult women are sampled and their total cholesterol is measured.

___ In a group of 25 randomly chosen adult men, the number who have high cholesterol.

___ For adult women, the total cholesterol in mg/dL.

___ The total cholesterol is measured for each person in a random group of 20 adults (both men and women). Then, the sample mean is calculated for that group. The sampling distribution of sample means for the groups if this process were repeated.

___ The number of adult women from a random group of 36 who do not have high cholesterol.

___ If a group of 50 random adults (both men and women) is selected, their total cholesterol is measured, and the sample mean is calculated, the sampling distribution of sample means for groups of this size.

2.An adult woman is randomly selected and her total cholesterol is measured. What is the probability it is in the

"borderline high" range?(4 pt)

3.In a study of 45 randomly selected adult men, the number who have high cholesterol is counted. (Assume that

11.3% of men have high cholesterol.)

a.How many of these 45 men do you expect to have high cholesterol? (Round to 1 decimal place.)(3 pt)

b.What is the standard deviation for the number of these 45 men that have high cholesterol? (Round to 1 decimal place.)(3 pt)

c.What is the probability that at least 10 of these 45 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)