Question

In Exercises \(\mathrm{P} .63\) to \(\mathrm{P} .67,\) state whether the process described is a discrete random variable, is a continuous random variable, or is not a random variable. Observe the average weight, in pounds, of everything you catch during a day of fishing.

Short answer

The process described is a continuous random variable.

Step-by-step solution

Understanding the scenario

First read the statement carefully. Our focus is to classify the average weight, in pounds, of everything you catch during a day of fishing. This clearly says that there is a measurement involved, and that it could vary.

Analyzing the type of Random Variable

The average weight can take any value within a given range, and not just certain, countable values. Thus, it is a continuous measurement. The weight could, theoretically, be any number within a possible range. As it is not restricted to defined, separate numbers, this makes it continuous.

Final verdict

Given the nature of the weight which can take any value within a range, the process described is a continuous random variable.