3.4 Use results (3.9) and (3.12) to verify the following results: a. For Y Po(), E(Y)...

3.4 Use results (3.9) and (3.12) to verify the following results:

a. For Y ∼ Po(θ), E(Y) = var(Y ) = θ.

b. For Y ∼ N(µ,σ

2

), E(Y) = µ and var(Y ) = σ

2

.

c. For Y ∼ Bin(n,π), E(Y) = nπ and var(Y) = nπ(1−π).