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MP DTE Continuous Random Variables — practice questions

Explore 1 free Continuous Random Variables questions in MP DTE Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Continuous Random Variables questions and exercises with answers

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For a continuous random variable $X$, the probability that $X$ equals any specific value is:Read the answer and worked solution →

Worked practice questions

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

  1. Cannot be determined
  2. Equal to $f(x)$
  3. 0
  4. 1
Show answer and 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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