alleryStart learning →For a continuous random variable, the probability that x takes on any single value is:
AOne half
BUndefined
CExactly zero
DExactly one
Answer & Solution
Correct answer: C. Exactly zero
1. Single points have no width, and so no area.
2. Probability for a continuous variable is area under the curve.
3. The probability that x takes on any single individual value is zero.
4. Only intervals of positive width carry positive probability.
_Source: OpenStax Introductory Statistics 2e (CC BY 4.0), Ch 5 'Continuous Random Variables', sections 5.1-5.3_
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