Too many green ones? In a really large bag of M&M’s, the students in Exercise 20 found 500 candies, and 12% of them were green. Is this an unusually large proportion of green M&M’s? Explain. Exercise...

Too many green ones? In a really large bag of M&M’s, the students in Exercise 20 found 500 candies, and 12% of them were green. Is this an unusually large proportion of green M&M’s? Explain.

Exercise 20

Bigger bag Suppose the class in Exercise 18 buys bigger bags of candy, with 200 M&M’s each. Again the students calculate the proportion of green candies they find.

 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?