Which of the following are examples of big data usage to analyze predictive behavior?

The choice reflecting Amazon tracking customer purchases based on their views effectively exemplifies big data usage to analyze predictive behavior. This practice involves collecting vast amounts of data on customer interactions, such as browsing history, purchase history, and product reviews. By analyzing this data, Amazon can identify patterns and preferences in consumer behavior, which allows the company to make informed predictions about future purchases. This predictive analytics is integral for personalized marketing strategies, such as recommending products to users based on their past behaviors and the behaviors of similar users.

In the context of the other options, while a bookstore tracking its inventory levels pertains to data analysis, it typically does not involve the same scale or predictive capability associated with big data. Similarly, Facebook's tracking of users who share content is more about interaction metrics rather than pure predictive behavior regarding future actions. Lastly, the tracking of article popularity by news organizations, while informative, is focused more on current trends rather than predicting individual behaviors based on extensive historical data. Therefore, Amazon's approach uniquely embodies the essence of big data analytics for predictive behavior.