For a continuous random variable $X$, the probability that $X$ equals any specific value is:
ACannot be determined
BEqual to $f(x)$
C0
D1
Answer & Solution
Correct 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: $P[c < X < d] = \int_c^d f(x)\,dx$.
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