Suppose that the distribution of people's ages in the United States is essentially constant, or uniform, from age 0 to age 60, and from there it decreases linearly until age 100. This distribution p(x) is shown below, where x is age in years, and p measures probability density. Such a probability distribution is called trapezoidal. In terms of b (see the graph), find the fraction of the population that is between 60 and 100 years old.

Question

Suppose that the distribution of people's ages in the United States is essentially constant, or uniform, from age 0 to age 60, and from there it decreases linearly until age 100. This distribution p(x) is shown below, where x is age in years, and p measures probability density. Such a probability distribution is called trapezoidal.  In terms of b (see the graph), find the fraction of the population that is between 60 and 100 years old.

Quizplus · Accepted Answer

The Answer of Suppose that the distribution of people's ages in the United States is essentially constant, or uniform, from age 0 to age 60, and from there it decreases linearly until age 100. This distribution p(x) is shown below, where x is age in years, and p measures probability density. Such a probability distribution is called trapezoidal.  In terms of b (see the graph), find the fraction of the population that is between 60 and 100 years old.

Suppose That the Distribution of People's Ages in the United