Final answer:
The duration of phone calls with a customer service representative is an example of quantitative continuous data, as time can be measured with fractions and is not limited to countable numbers.
Step-by-step explanation:
The records of the amount of time a customer spends on the phone with a cable company's customer service representative is an example of quantitative continuous data. This is because time can be measured in infinite fractions (like 2.4 minutes, 7.5 minutes, etc.) and does not only include whole numbers or countable increments. On the other hand, quantitative discrete data involve countable values, such as the number of books a student carries, which might be 1, 2, 3, and so on without any fractions. Continuous data like the duration of phone calls is typically associated with measurements that can take on any value within a range, which aligns with the concept of the exponential distribution mentioned in probability studies concerning continuous random variables.
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