1. Draw the standard normal distribution. Shade the area to the left of the z-score of -3.02. Find the shaded area, round to the nearest ten-thousandth.

2. Draw the standard normal distribution. Shade the area between the z-score of -3.02 and -1.46. Find the shaded area, round to the nearest ten-thousandth.

3. Draw the standard normal distribution. The shaded area to the left of the z-score is 0.0764. Find the z-score, and round to the nearest hundredth.

4. Suppose that replacement times for washing machines are normally distributed with a mean of 5.5 years and a standard deviation of 2.1 years. Find the replacement time that separates the top 1.1% from the rest, and round to the nearest hundredth.

5. Scores on a test are normally distributed with a mean of -45 and a standard deviation of 5. What percent of scores are more than -45? Express the answer as a percentage rounded to the nearest hundredth without the % sign.

6. The weights of the fish in a certain lake are normally distributed with a mean of 6.1 lb and a standard deviation of 2.1 lb. If 50 fish are randomly selected, what is the probability that the mean weight will be between 5.8 and 6.5 lb? Express the answer as a percentage rounded to the nearest hundredth without the % sign.

7. The weights of the fish in a certain lake are normally distributed with a mean of 10.1 lb and a standard deviation of 2.9 lb. If 32 fish are randomly selected, what is the probability that the mean weight will be more than 11.5 lb? Express the answer as a percentage rounded to the nearest hundredth without the % sign.