Let \( x \) be the weight of a particular vehicle. Is \( x \) a discrete or continuous random variable? The variable \( x \) is what kind of random variable? A. continuous, because the variable can be measured on an interval B. discrete, because the variable can be counted C. continuous, because the variable can be counted D. discrete, because the variable can be measured on an interval
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Bonus Knowledge
The variable \( x \) is a continuous random variable. You can measure the weight of a vehicle in infinitely precise increments (like 1500 kg, 1500.5 kg, etc.), which makes it a continuous measurement rather than something that can be counted in distinct chunks. When considering random variables, it's essential to understand the context in which they operate. For example, if you measure a vehicle's weight with a scale, the reading might vary slightly due to factors like calibration or measurement precision, further underlining its continuous nature. This is a fun reminder of how math and everyday objects like cars interact!