In: Statistics and Probability
Let G be the number of goals that the Mighty Ducks score in a particular game. Suppose the moment-generating function of G is ??(?) = 0.2 + (0.3 ⋅ ? ? ) + (0.3 ⋅ ? 2? ) + (0.2 ⋅ ? 3? )
a) What is the expected value of the number of goals made, ?[?]? (you can solve either way)
b) Calculate ???[?].