1.The company that produces M&Ms candy says that 16% of the candies packaged in its milk chocolate bags are green. Suppose that the candies are packaged at random in bags that contain 200 M&Ms. A class of statistics students each receives one bag of candy and calculates the proportion of green candies they find.

(a) Explain why it is appropriate to use a normal population model to describe the distribution of the proportion of green M&Ms they might expect.

(b) What are the values of the parameters for the normal population model in (a)? Sketch the p.d.f. for this normal model.

(c) How would this model change if the bags contained 500 M&Ms?