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For a CONTINUOUS random variable, the value f_X(x) of the probability density function (PDF) at a point
AEquals P(X = x)
BIs the probability that X is exactly x
CIs NOT a probability; only the integral of f_X over an interval is a probability
DIs always between 0 and 1
Answer & Solution
Correct answer: C. Is NOT a probability; only the integral of f_X over an interval is a probability
CS229 emphasises this: f_X(x) ≠ P(X = x). f_X can exceed 1; only ∫f_X dx over an interval gives a probability. P(X = x) = 0 for any single point in the continuous case.
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