[Solution] [5+5+2 = 12 pts] Let m(t)=1/6e^t+2/6e^2t+3/6e^3t. Find the following: First moment about origin, E(Y) Second moment about origin, E(Y 2) Second


Question: [5+5+2 = 12 pts]

Let \[m(t)=\frac{1}{6}{{e}^{t}}+\frac{2}{6}{{e}^{2t}}+\frac{3}{6}{{e}^{3t}}\] . Find the following:

  1. First moment about origin, E(Y)
  2. Second moment about origin, E(Y 2 )
  3. Second moment about mean, V(Y).

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