If a Poisson variate $X$ satisfies the relation $P(X=3)=P(X=5)$, then $P(X=4)=$

• Correct answer
  A

  $\frac{50}{3 e^{\sqrt{20}}}$
• B

  $\frac{20000}{3 e^{20}}$
• C

  $\frac{125}{3 e^{10}}$
• D

  $\frac{25}{3 e^{\sqrt{20}}}$

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