1.)A particular fruit's weights are normally distributed, with a mean of 427 grams and a standard deviation of 6 grams. If you pick one fruit at random, what is the probability that it will weigh between 425 grams and 446 grams

2.)In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 54.7 inches, and standard deviation of 3.6 inches. A) What is the probability that a randomly chosen child has a height of less than 57 inches? B) What is the probability that a randomly chosen child has a height of more than 45.3 inches?

3.)In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 56.1 inches, and standard deviation of 4.5 inches. What is the probability that the height of a randomly chosen child is between 52.25 and 67.05 inches? Do not round until you get your your final answer, and then round to 3 decimal places.

4.)The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 38 liters, and standard deviation of 6.6 liters. A) What is the probability that daily production is less than 56.4 liters? B) What is the probability that daily production is more than 23.1 liters?

5.)The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 30 liters, and standard deviation of 6.5 liters.A) What is the probability that daily production is between 26.5 and 39.3 liters? Do not round until you get your your final answer.

6.)A distribution of values is normal with a mean of 79.5 and a standard deviation of 50.5. Find the probability that a randomly selected value is greater than 165.4.

7.)A distribution of values is normal with a mean of 47.9 and a standard deviation of 13.1. Find the probability that a randomly selected value is between 17.8 and 71.5.

8.)A distribution of values is normal with a mean of 198.8 and a standard deviation of 69.2. Find P43, which is the score separating the bottom 43% from the top 57%

can someone explain these problems. None of my answers are correct. I think when it comes to figuring out the z score table I'm not doing it correctly