QUESTION 16 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 (mgldL). 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 manlwoman in the U.S. over age 20. For adult men, total cholesterol has a mean of 187 mg/dL and a standard deviation of 44 mgldL. For adult women, total cholesterol has a mean of 192 mgldL and a standard deviation of 43 mgldL. The CDC denes \"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. 7. A researcher measures the total cholesterol of a randomly selected group of 32 adult women, and counts the number of them who have high cholesterol. (Assume that 13.22% of adult women have high cholesterol.) a. What is the probability that exactly 4 of these 32 women have high cholesterol? Give a decimal, not a percent. Round your answer to four decimal places