What proportion of families are hypertensive? (Assume that the hypertensive status of different members of a family are independent random variables.)

Hypertension

People are classified as hypertensive if their systolic blood pressure (SBP) is higher than a specified level for their age group, according to the algorithm in Table 5.1. Assume SBP is normally distributed with mean and standard deviation given in Table 5.1 for age groups 1ˆ’14 and 15ˆ’44, respectively. Define a family as a group of two people in age group 1ˆ’14 and two people in age group 15ˆ’44. A family is classified as hypertensive if at least one adult and at least one child are hypertensive.

Table 5.1: Mean and standard deviation of SBP (mm Hg) in specific age groups

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Specified hypertension level Standard Mean deviation Age group 1-14 15-44 105.0 5.0 115.0 125.0 140.0 10.0