7. SAT Math Scores. Suppose the population of SAT math scores follows a normal distribution with =563=563 and =139=139. What is P(575x590)P(575x590)?

Problems 8-10. The weights of a group of young people are normally distributed, with a mean of 160 pounds and a standard deviation of 8 pounds. A young person is randomly selected.

8. Find the probability that the young person's weight is less than 135 pounds.

9. Find the probability that the young person's weight is between 135 and 170 pounds.

10. Find the probability that the young person's weight is more than 170 pounds.

Section 5.3

Problems 11-12. Use the Standard Normal Distribution Table to find the z-score that corresponds to the given cumulative area. If the area is not in the table use the entry closest to the area, unless the area is exactly halfway between two entries. In that case, use the z-score halfway between the corresponding z-scores.

11. Area=0.2981Area=0.2981

12. Area=0.9844Area=0.9844

13. A normal distribution has =185=185 and =7.4=7.4. Find the xx-value that has 28.4% of the standard normal distribution's area to its left.