The probability distribution function of a discrete random variable $X$ is given by \(\mathrm{P}\l

Question

The probability distribution function of a discrete random variable $X$ is given by

$\mathrm{P}\left( X=x \right)=\left\{ \begin{matrix}ax\hspace{1cm}\mathrm{ }1\le x\le 3\\a{{\left( \frac{1}{2} \right)}^{x}}\hspace{1cm}\mathrm{ }x\ge 4 \\0\hspace{1cm}\mathrm{ otherwise} \end{matrix} \right.$

Find the value of the constant $a$.

Accepted Answer

$\frac{8}{49}$

Discrete Random Variables (DRV)

Discrete Random Variables (DRV)

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