1. The popular candy Skittles comes in 5 colors. According to the Skittles website, the 5 colors are evenly distributed in the population of Skittle candies. So each color makes up 20% of the population.

Suppose that we purchase a small bag of Skittles. Assume this size bag always has 40 candies. In this particular bag 10 are green. What is the probability that a randomly selected bag of this size has 10 or more green candies? (Note: the answer may vary slightly due to rounding in the calculation of the Z-score.)

• about 0.05 or 5%
• about 0.79 or 79%
• We cannot determine the probability because a normal model is not a good fit for the sampling distribution.

2. The popular candy Skittles comes in 5 colors. According to the Skittles website, the 5 colors are evenly distributed in the population of Skittle candies. So each color makes up 20% of the population.

Suppose that we purchase a mid-size bag of Skittles. Assume this size bag always has 200 candies. In this particular bag, 50 are green. What is the probability that a randomly selected bag of this size has 50 or more green candies? (Note: the answer may vary slightly due to rounding in the calculation of the Z-score.)

• About 3.7 or 3.8%
• About 96.2 or 96.3%
• We cannot determine the probability because a normal model is not a good fit for the sampling distribution.