If $f(x) = \frac{x}{8}$ for $0 < x < 4$ and $f(x) = 0$ otherwise,is the probability density function (p.d.f.) of a continuous random variable $X$,and $F(x)$ is the cumulative distribution function (c.d.f.) associated with $f(x)$,then find $F(0.5)$.

  • A
    $\frac{1}{64}$
  • B
    $\frac{1}{8}$
  • C
    $\frac{1}{32}$
  • D
    $\frac{1}{128}$

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