Biostatistics in Public Health

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The data in Table 5-11 were conected
TABLE 5-11 Hyperlipidemia in Parents and Children
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83
Child
Both Parents
One Parent
Neither Parent
Hyperlipidemic
Hyperlipidemic
Hyperlipidemic
Not
hyperlipidemic
13
Hyperlipidemic
45
34
42
6
a. What is the probability that the child is hyperlipidemic?
b. 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 & 1a)
(round answers to 4 decimal places)
a. What proportion of men drinks 2 cups per day or more?I
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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?
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