1. A recent study reported that the prevalence of hyperlipidemia (defined as total cholesterol over 200) is 30% in children 2 to 6 years of age. If 12 children are analyzed:
a. What is the probability that at least 3 are hyperlifedemic?
b. What is the probability that exactly 3 are hyperlipidemic?
c. How many would be expected to meet the criteria for hyperlipidemias?
2. Totalcholesterol in children aged 10-15 years of age 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 have total cholesterol btw 180-190?
b. What proportion of children 10-15 years of age would be classified as hyperlipidemic? (Assume that hyperlipidemia is defined as a total cholesterol level over 200).
3. Among coffee drinkers, men drink a mean of 3.2 cups per day with a standard deviation of 0.8 cups. Assume the number of cups per day follows a normal distribution.
a. What proportion drink 2 cups per day or more?
b. What proportion drink 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 drinkers?
4. A recent study of cardiovascular risk factors reported that 30% of adults meet criteria for hypertension. If 15 adults need assessed, what is the probability that:
A. exactly 5 meets the criteria for hypertension?
B. none meet the criteria for hypertension?
C. how many would you expect to meet the criteria for hypertension?
5. Diastolic blood pressures 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?
6. In the study described in Problem 13, suppose the mean bmi at 16 weeks gestation is 28.5 with a standard deviation of 3.6 and that bmi is assumed to follow a normal distribution. Find the following:
A. the proportion of women with a bmi greater than 40.
B. the proportion of women with a bmi greater than 40.
C. the bmi that separates the tip 10% from the rest.
7. High density lipoprotein HDL in healthy males follows a normal distribution with a mean of 50 and a standard deviation of 8.
a. What proportion of health males had HDL exceeding 60?
b. What proportion of healthy males has HDL lower than 40?
c. What is the 90th percentile of HDL in healthy males?