1. A recent study reported that the prevalence of hyperlipidemia (defines as total cholesterol over 200) is 30 % in children 2 to 6 years old of age. If 12 children are analyzed. a) What is the probability that at least 3 are hyperlipidemia? b) What is the probability that at exactly 3 are hyperlipidemia? c) How many would be expected to meet the criteria for hyperlipidemia? 3. Total cholesterol in children age 10 to 15 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 to 15 years of age have total cholesterol between 180 and 190? b) What proportion of children 10 to 15 years of age would be classified as hyperlipidemia? Assume that hyperlipidemia is a total cholesterol level of 200 over. 6. A study is conducted to assess the impact of caffeine consumption, smoking alcohol consumption and physical activities on 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) More than 6 consume caffeine or smoke? c) Exactly 4 don not consume caffeine or smoke? 10. Diastolic blood pressure are assumed to follow a normal distribution with a mean of 85 and standard deviation of 12 a. What proportion of people have diastolic blood pressure less than 90? b. What proportion of people have diastolic blood pressure between 80 and 90