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 hyper-lipidemic?
b. What is the probability that exactly 3 are hyper-lipidemic?
c. How many would be expected to meet the criteria for hyperlipidemia?
2. 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.
a. What is the probability that one or both parents are hyperlipidemic?
b. What is the probability that a child and both parents are hyperlipidemic?
c. What is the probability that a child is hyperlipid
d. What is the probability that a child is hyperlipidemic if both parents are hyperlipidemic?
(table 5-11)
|
Child
|
Both Parents Hyperlipidemic
|
One Parents Hyperlipidemic
|
Neither Parents Hyperlipidemic
|
|
Not Hyperlipidemic
|
13
|
34
|
83
|
|
Hyperlipidemic
|
45
|
42
|
6
|
3. Total cholesterol in children aged 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 to15 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 hyperlipidemic? (Assume that hyperlipidemia is defined as a total cholesterol level over 200.)
c. If a sample of 20 children are selected, what is the probability that the mean cholesterol level in the sample will exceed 200?