(See Steps) This question has two parts. Let X ˜ Negative Binomial(r, p). Show that μ _X=r/p; σ _X^2=(r(1-p))/(p^2) Let X ˜ Poisson(A).
Question:
This question has two parts.
-
Let X \(\tilde{\ }\) Negative Binomial(r, p). Show that
\[{{\mu }_{X}}=\frac{r}{p};\,\,\,\,\,\sigma _{X}^{2}=\frac{r\left( 1-p \right)}{{{p}^{2}}}\]
- Let X \(\tilde{\ }\) Poisson(A). Show that \(\sigma _{X}^{2}=\lambda \)
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![[All Steps] Show that E(α X)=α E(X),](/images/solutions/MC-solution-library-76026.jpg "[All Steps] Show that E(α X)=α E(X), var;(α")
