If the probability function of a random variable $\mathrm{X}$ is given by $P(\mathrm{X}=k)=\frac{3^{c k}}{k…

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 $c=$
  1. $\frac{1}{2} \log _3\left(\log _e 2\right)$
  2. $\frac{1}{2} \log _2\left(\log _e 3\right)$
  3. $\log _3\left(\log _e 2\right)$
  4. $\log _2\left(\log _e 3\right)$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (24 Apr Shift 2)

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