Probability Distributions Assignment Directions This assignment mixes topics from Chapters 5 and 6. Answer these questions in your notes. Later, you will enter your answers into a form in Blackboard. To minimize the possibility of technical issues (internet, computer, server, etc.), you must first write all answers down, and then after you finish, open the submission link and enter them in Blackboard. Leave probabilities as decimals (not percents). Unless otherwise stated, round final answers to 4 decimal places. Problems 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 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. Normal B. Binomial C. 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
