Total cholesterol in children aged 10-15 years is assumed to follow a normal distribution with a mean of 191 and a standard deviation of 22.4. a. what proportion of children 10-15 years of age hfave total cholesterol between 180-190? b. What proportion of children 10-15 years would be classified as hyperlipidemia(assume that hyperlipidemia is defined as a total cholesterol level over 200)? c. What is the 90th percentile of total cholesterol? 2. Among Coffee drinkers, men drank a mean of 3.2 cups per day with a standard deviation of 0.8 cups . Assume the number of coffee drinks per day follows a normal distribution. a. what proportion drinks 2 cups per day or more? b. What proportion drank no more than 4 cups per day? c. if the top 5% of coffee drinkers are considered heavy coffee drinkers , what is the minimum number of cups consumed by a heavy coffee drinker? (Hint: find the 95th percentile) 3. A study is conducted to assess the imopact of caffeine consumption, smoking, alcohol consumption, and physical activity on the risk of cardiovascular disease, Suppose that 40% of participants consume caffeine and smoke . If 8 participants are evaluated, what is the probability that: a. exactly half of them consume caffeine and smoke? b. at most 6 consume caffeine and smoke? 4. A recent study of cardiovascular risk factors reports that 30% of adults meet the criteria for hypertention. If 15 adults are assessed, what is the probability that : a. Exactyly 5 meet the criteria for hypertention b. none meet the criteria for hypertension c. less than or equal to 7 meet the criteria for hypertension 5. Diastolic Blood pressure are assumed to follow a normal distribution with a mean of 85 and a standard deviation of 12. A. WHAT proportion of people have diastolic blood pressures less than 90? b. what proportion have diastolic blood pressures between 80 and 90? c. If someone has a diastolic blood pressure of 100, what percentile does this represent?