2.6 Post Class Biostatistics Problems 1) Hyperlipidemia in children has been hypothesized to be related to high cholesterol in their parents. The data in Table 5-11 were collected on parents and children. (round answers to 3 decimal places) TABLE 511 Hyperlipidemia in Parents and Children Both Parents One Parent Neither Parent Hypeerdenc HyperHMdenc Hypernmdenc Not 13 34 83 hyperlipidemic Hyperlipidemic a. What is the probability that the child is hyperlipidemic? . What is the probability that the child and one or both parents are hyperlipidemic? c. What is the probability that neither parent is hyperlipidemic and the child is not hyperlipidemic? d. Of those children with one or both parents hyperlipidemic, what is the probability that the child is also hyperlipidemic? e. Of those children with neither parent hyperlipidemic, what is the probability that the child is also not hyperlipidemic? f. Of the children that are hyperlipidemic, what is the probability that one or both parents are hyperlipidemic? g. Of the children that are not hyperlipidemic, what is the probability that neither of the parents are hyperlipidemic also? 2) A large national study finds that 10% of pregnant women deliver prematurely. A local obstetrician is seeing 20 pregnant women in the next week at their clinic. (round answers to 3 decimal places) a. What is the probability that none will deliver prematurely? b. What is the probability that fewer than 3 will deliver prematurely? c. What is the probability that none will deliver prematurely if, in fact, the true percentage who deliver prematurely is 6%? d. If the true percentage is 10% and this obstetrician has 125 pregnant women currently at their practice, how many would be expected to deliver prematurely? Remember this is number of people so answer appropriately. e. What would the standard deviation be in number of women for that expected number of premature deliveries calculated in (d). Remember this is number of people so answer appropriately. 3) Among coffee drinkers, men drink a mean of 3.8 cups per day with a standard deviation of 0.7 cups. Assume the number of cups per day follows a normal distribution. (use appendix tables 1 & la) (round answers to 4 decimal places) a. What proportion of men drinks 2 cups per day or more? b. What proportion drinks not 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? d. If a sample of 30 men is selected, what is the 90th percentile of the mean number of cups per day? 4) Diastolic blood pressures are assumed to follow a normal distribution with a mean of 88 and a standard deviation of 14. a. What proportion of people have diastolic blood pressures less than 95? b. What proportion of people have diastolic blood pressures between 76 and 100, inclusive? c. If a person has a diastolic blood pressure of 105, what percentile does this represent