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 1−14 and 15−44, respectively. Define a family as a group of two people in age group 1−14 and two people in age group 15−44. A family is classified as hypertensive if at least one adult and at least one child are hypertensive. 5.17) What proportion of 1- to 14-year-olds are hypertensive? 5.18) What proportion of 15- to 44-year-olds are hyper- tensive?
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
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
standard deviation given in Table 5.1 for age groups 1−14
and 15−44, respectively. Define a family as a group of two
people in age group 1−14 and two people in age group
15−44. A family is classified as hypertensive if at least one
adult and at least one child are hypertensive.
5.17) What proportion of 1- to 14-year-olds are hypertensive?
5.18) What proportion of 15- to 44-year-olds are hyper-
tensive?
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
