For a continuous random variable $X$, the probability that $X$ equals …

Question

For a continuous random variable $X$, the probability that $X$ equals any specific value is:

Accepted Answer

C. 0

$P[X = x] = \int_x^x f(t)\,dt = 0$ for any specific $x$.
Only probabilities over **intervals** $[c, d]$ are non-zero for continuous RVs: $P[c < X < d] = \int_c^d f(x)\,dx$.

Answer

Cannot be determined

Answer

Equal to $f(x)$

Answer

1

For a continuous random variable $X$, the probability that $X$ equals any specific value is:

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