Final answer:
Out of the options provided, weight of a sample of objects can be represented by a discrete random variable if it refers to countable quantities. Other options like height, temperature, and time are typically measured precisley, which makes them continuous random variables.
Step-by-step explanation:
The question pertains to understanding the concept of discrete and continuous random variables in probability. A discrete random variable can take on countable values. In the examples provided, weight of a sample of objects can be represented by a discrete random variable if the weights are specifically counted (like the number of books), but if the weight needs to be measured to a fine scale, it becomes a continuous variable. All the other options - height of individuals (measured), temperature (measured), and time taken to complete a race (measured) are continuous as they are not simply counted.
In general,
- Height of individuals is measured and, therefore, a continuous random variable.
- Temperature in degrees Celsius is measured, hence it is a continuous random variable.
- Time taken to complete a race is measured with precision and is continuous.
- Weight of a sample of objects can be discrete or continuous depending on whether the value is counted or measured.