Solution
= Solution
By the definition of the <probability generating function>,
$$
\boxed{\mathbb E[2^T]=g(2)=\frac23+(14-10)^{-1/2}=\frac76.}
$$
The evaluation at two is valid because two is inside the power-series radius $14/5$.
= Solution
By the definition of the <probability generating function>,
$$
\boxed{\mathbb E[2^T]=g(2)=\frac23+(14-10)^{-1/2}=\frac76.}
$$
The evaluation at two is valid because two is inside the power-series radius $14/5$.