Question
Example 3.12 Suppose we are conducting a hypertension-screening program in the home. Consider all possible pairs of DBP measurements of the mother and father within
Example 3.12
Suppose we are conducting a hypertension-screening program
in the home. Consider all possible pairs of DBP measurements of the mother
and father within a given family, assuming that the mother and father are not
genetically related. This sample space consists of all pairs of numbers of the form
(X, Y) where X > 0, Y > 0. Certain specific events might be of interest in this context.
In particular, we might be interested in whether the mother or father is hypertensive,
which is described, respectively, by events A = {mother's DBP 90}, B = {father's DBP
90}. These events are diagrammed in Figure 3.4.
Suppose we know that Pr(A) = .1, Pr(B) = .2. What can we say about Pr(A B) =
Pr(mother's DBP 90 and father's DBP 90) = Pr(both mother and father are
hypertensive)? We can say nothing unless we are willing to make certain
assumptions.
Let X be the random variable representing the number of hypertensive adults in Example 3.12. What is its cumulative distribution function?
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