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

question 65

Short Answer

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. Find the median age of the United States population.

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Definitions:

Geodemographic

The study of populations and their characteristics, such as age, gender, and income, in specific geographic areas for market segmentation purposes.

Psychographic

Pertaining to the study of consumer lifestyles, attitudes, beliefs, and values to understand buying behaviors and preferences.

Occasion Segmentation

A type of behavioral segmentation based on when a product or service is purchased or consumed.

Psychographic Segmentation

The division of a market into segments based on consumer personality traits, values, attitudes, interests, and lifestyles.