 Solution

ID: past-exam-of-the-options-ii-course-of-the-university-of-oxford/2011/m/m4/b/iv/solution

Since

2

lies inside the radius

14/5

of the probability generating function, its nonnegative series converges at

2

, and

E (2^{T}) = g (2) = \frac{2}{3} + \frac{1}{2} = \frac{7}{6} .

 New to topics? Read the docs here!