Given the probability density function (p.d.f.) of the random variable $X$ as $f(x) = \frac{1}{2a}$ for $0 < x < 2a$ and $f(x) = 0$ otherwise, where $a > 0$, which of the following is correct?

  • A
    $P(X < a/2) = P(X > a/2)$
  • B
    $P(X < a/2) < P(X > 3a/2)$
  • C
    $P(X < a/2) > P(X > 3a/2)$
  • D
    $P(X < a/2) = P(X > 3a/2)$

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