In a Poisson distribution, if $\frac{\mathrm{P}(\mathrm{X}=5)}{\mathrm{P}(\mathrm{X}=2)}=\frac{1}{7500}$ and $\frac{\mathrm{P}(\mathrm{X}=5)}{\mathrm{P}(\mathrm{X}=3)}=\frac{1}{500}$, then the mean of the distribution is

• A

  $\frac{1}{15}$
• Correct answer
  B

  $\frac{1}{5}$
• C

  $\frac{1}{25}$
• D

  $\frac{1}{3}$

Hence, the correct answer is option: 'B'.