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Simple Poisson Calcuations

By in Poisson on .

Let \(X\) have Poisson\((\lambda)\)  distribution. Calculate:

  1. \(\mathbf{E}(3 X +5)\)
  2. \(\mathbf{Var}(3X +5)\)
  3. \(\mathbf{E}\big[\frac1{1+X} \big]\)

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