1. At Stats High, there is a difficult exam that every junior takes. Over the last 5 years, the exam results are normally distributed with a mean of 35% and a standard deviation of 7%. If your friend takes the exam and receives a 58%, how would you explain to him how he did? What if he received a 42? Support your conclusion with probabilities and z-scores.

2. Why is the word “or” used in the addition rule and the word “and” used in the multiplication rule? Explain

3. Explain the rules for your state lottery (such as 60 balls total, with 5 balls picked each drawing). Use combinations to determine your probability of winning the grand prize.

4. Provide an example of a classical probability. Provide an example of a relative frequency probability

5. In calculating a required sample size for estimating a population proportion, what would cause the sample size to increase? What would cause it to decrease? How would you explain the relationship between the significance level and the required sample size?

6. What would cause the margin of error in a confidence interval to decrease? What would cause the margin of error in a confidence interval to increase? Explain.