P(X=3)=13P(X=4)e−λλ33!=13e−λλ44!λ=3∗4!3!=12Mean=Variance=λ=12Standard deviation=12=23P(X=3)=\frac{1}{3}P(X=4)\\ e^{-\lambda}\frac{\lambda^3}{3!}=\frac{1}{3}e^{-\lambda}\frac{\lambda^4}{4!}\\ \lambda=\frac{3*4!}{3!}=12\\ Mean=Variance=\lambda=12\\ Standard\; deviation=\sqrt{12}=2\sqrt{3}P(X=3)=31P(X=4)e−λ3!λ3=31e−λ4!λ4λ=3!3∗4!=12Mean=Variance=λ=12Standarddeviation=12=23
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