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

Multiple Choice

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.

A) 60b
B) 20b
C) 40b
D) 80b