1. In the class of 2019, more than 1.6 million students took the SAT. The distribution of scores in the math section (out of 800) is approximately normal with a mean of 528 and a standard deviation of 117.

About what proportion of students who took the SAT scored less than 350 on the math section? Round your answer to 4 decimal places.

2. In the class of 2019, more than 1.6 million students took the SAT. The distribution of scores on the math section (out of 800) is approximately normal with a mean of 528 and standard deviation of 117.The University of Michigan has a recommended SAT math score of at least 730.

What percent of students who took the SAT math test meet this requirement? Round your answer to 4 decimal places and then convert to a percentage.

3. In the class of 2019, more than 1.6 million students took the SAT. The distribution of scores on the math section (out of 800) is approximately normal with a mean of 528 and standard deviation of 117.

What proportion of students earned scores between 500 and 600 on the SAT math test? Round your answer to 4 decimal places.

4. In baseball, a player's batting average is the proportion of times the player gets a hit out of the total number of times at bat. The distribution of batting averages in a recent season for Major League Baseball players with at least 100 plate appearances can be modeled by a normal distribution with mean = 0.261 and standard deviation = 0.034. A player with a batting average below 0.200 is at risk of sitting on the bench during important games.

About what percent of players are at risk?

5. According to a health information website, the distribution of adults' diastolic blood pressure (in millimeters of mercury) can be modeled by a normal distribution with mean 70 and standard deviation 20. A healthy diastolic pressure for an adult is less than 80.

About what proportion of adults have healthy diastolic blood pressures? Round your answer to 4 decimal places.

6. According to a health information website, the distribution of adults' diastolic blood pressure (in millimeters of mercury) can be modeled by a normal distribution with mean 70 and standard deviation 20. A healthy diastolic pressure for an adult is less than 80.

About what proportion of adults have healthy diastolic blood pressures? Round your answer to 4 decimal places.

7. The weights of 9-ounce bags of a particular brand of potato chips can be modeled by a normal distribution with mean = 9.12 ounces and standard deviation = 0.05 ounce. What proportion of 9-ounce bags of this brand of potato chips weigh more than 9.2 ounces? Round your answer to 4 decimal places.

8. In baseball, a player's batting average is the proportion of times the player gets a hit out of the total number of times at bat. The distribution of batting averages in a recent season for Major League Baseball players with at least 100 plate appearances can be modeled by a normal distribution with mean = 0.261 and standard deviation = 0.034. What proportion of players have a batting average of 0.300 or higher? Round your answer to 4 decimal places.

9. In baseball, a player's batting average is the proportion of times the player gets a hit out of the total number of times at bat. The distribution of batting averages in a recent season for Major League Baseball players with at least 100 plate appearances can be modeled by a normal distribution with mean = 0.261 and standard deviation = 0.034. What percent of players have batting averages between 0.250 and 0.300?Round your answer to 4 decimal places and then convert to a percentage.

10. According to a health information website, the distribution of adults' diastolic blood pressure (in millimeters of mercury) can be modeled by a normal distribution with mean 70 and standard deviation 20.A diastolic blood pressure between 80 and 90 indicates borderline high blood pressure.

What proportion of adults have borderline high blood pressure?