The probability mass function of a random variable $X$ is given by $P(X = x) = \frac{^5C_x}{2^5}$, for $x = 0, 1, 2, 3, 4, 5$ and $0$ otherwise. Which of the following is correct?

  • A
    $P(X \leq 2) = P(X \geq 3)$
  • B
    $P(X \leq 2) > P(X \geq 3)$
  • C
    $P(X \leq 2) < P(X \geq 3)$
  • D
    $P(X \leq 2) = 2P(X \geq 3)$

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