22. More quality. Would a bigger sample help us to assess manufacturing consistency? Suppose instead of the 50-candy bags of Exercise 20, we work with bags that contain 200 M&M’s each. Again we calculate the proportion of green candies found.

a) Explain why it’s appropriate to use a Normal model to describe the distribution of the proportion of green M&M’s they might expect.

b) Use the 68–95–99.7 Rule to describe how this proportion might vary from bag to bag.

c) How would this model change if the bags contained even more candies?