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If the probability function of a random variable $\mathrm{X}$ is given by $P(\mathrm{X}=k)=\frac{3^{c k}}{k !}$ for $k=1,2,3, \ldots$ (where $c$ is a constant), then $c=$
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The correct answer is:
$\log _3\left(\log _e 2\right)$
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