QUESTION 14 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 US. 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. 6. Oatmeal is a food that is high in ber and low in fat. A dietician says, \"People who regularly eat oatmeal tend to have lower cholesterol.\" A group of 144 randomly selected adult women who regularly eat oatmeal has a sample mean total cholesterol of 185 mgIdL. a. What is the probability a randomly selected group of 144 adult women has a sample mean total cholesterol of 185 or less? Give a decimal, not a percent. Round your answer to four decimal places