Engineering Mathematics Probability Discrete Distributions

 If X is a Poisson variate such that P(X=2) = 3P(X=4) then what is the value of P(X=3)?

1
\(\frac{9}{{2{e^3}}}\)
2
\(\frac{9}{{4{e^3}}}\)
3
\(\frac{4}{{3{e^2}}}\)
4
\(\;\frac{8}{{3{e^3}}}\)

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