Prove that if for some discrete random variable ξ, \(\mathbf { E } \xi ^ { 2 } = \mathbf { E } \xi ^ { 3 } = \mathbf { E } \xi ^ { 4 }\) , then \(\xi\) can only take values 0 or 1.
Random variables with $\mathbf{E}\xi^2=\mathbf{E}\xi^3=\mathbf{E}\xi^4$ are $\{0,1\}$-valued
P-TRIV-PR15
- Area
- Prelim
- Status
- draft