The mean amount of money that a family of four will spend on a baseball game, including the food and souvenirs, is $195 with a standard deviation of $50. Assume that this distribution is normal.

1. Find the probability that a particular family of four selected at random spends between $250 and $300?

2. What is the probability that the family spends less than $250?

3. What is the probability that the family spends more than $325?

4. What is the probability that the family spends between $100 and $160? (Be able to draw a graph to illustrate your results)

5. Find the cost that represents the 50th percentile.

6. Find the cost that represents the 90th percentile.

7. 5% of the families spend below what value?

8. The top 5% of the families spend above what value?

9. Between what two values will the middle 50% of the families spend?

10. What percent of the families spend at least $120 on the game?

11. Use the empirical rule to determine the following: A About 68% of the observations lie between what two values? B About 95% of the observations lie between what two values? C About 99% of the observations lie between what two values?

12. Use the standard normal distribution to determine the following A 68% of the observations lie between what two values? B 95% of the observations lie between what two values? C 99% of the observations lie between what two values?

13. Discuss the differences in the results for question 12 and question 11