Continuous random variables have what kind of outcomes?

Continuous random variables have what kind of outcomes?

• A. True
• B. False
• C. Uncertain
• D. Not applicable

Answer: (A)

Continuous random variables produce outcomes that lie on a continuum of real numbers. Unlike discrete variables, which can only take a countable set of values, a continuous variable can assume any value within an interval. Because of this, the probability of hitting an exact value is effectively zero; probabilities are defined for ranges, described by a probability density function. For example, height or time can take infinitely many values within a range, not just specific points. This is why the statement that outcomes are real-valued on a continuum is true, making the chosen option the best answer.

Continuous random variables produce outcomes that lie on a continuum of real numbers. Unlike discrete variables, which can only take a countable set of values, a continuous variable can assume any value within an interval. Because of this, the probability of hitting an exact value is effectively zero; probabilities are defined for ranges, described by a probability density function. For example, height or time can take infinitely many values within a range, not just specific points. This is why the statement that outcomes are real-valued on a continuum is true, making the chosen option the best answer.