1. The heights of 10-year-old males are normally distributed with population mean 55.9 inches and population standard deviation 5.7 inches.

a. Draw a normal curve with the parameters labeled.

b. Shade the region that represents the proportion of 10-year-old males who are less than 46.5 inches tall.

2. a. Determine the area under the standard normal curve that lies between z = -3.03 and z = 1.98.

b. Find the z-score such that the area under the standard normal curve to its right is .75.

3. The reading speed of sixth-grade students is approximately normal, with a mean speed of 125 words per minute and a standard deviation of 24 words per minute.

a. What is the probability that a randomly selected sixth-grade student reads less than 100 words per minute?

b. What is the probability that a randomly selected sixth-grade student reads more than 140 words per minute?

4. The reading speed of sixth-grade students is approximately normal, with a mean speed of 125 words per minute and a standard deviation of 24 words per minute.

a. What is the reading speed of a sixth-grader whose reading speed is at the 90^thpercentile?

b. A school psychologist wants to determine reading rates for unusual students (both slow and fast). Determine reading rates of the middle 95% of all sixth-grade students.