In 2024 Jeremy Cameron, who is an AFL football player at the Geelong Football Club, is so far averaging 2.3 goals per game. A statistician proposes that the number of goals kicked by Cameron follows a Poison distribution. Sketch the probability distribution - Poisson( = 2.3) - and remember to label your axes.

The Poison discrete distribution represents a form of pure randomness where events (in this case, goals in a football game kicked by a particular player) occur independently in time at some constant rate. Do you think the Poison distribution is a good model for the number of goals kicked per game by an individual player? Explain your answer.