1.)In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.6 inches, and standard deviation of 4.7 inches. What is the probability that the height of a randomly chosen child isbetween56.25 and 59.95 inches? Do not round until you get your your final answer, and then round to 3 decimal places.

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 55.6 inches, and standard deviation of 2.8 inches.

A) What is the probability that a randomly chosen child has a height oflessthan 55 inches?

B)What is the probability that a randomly chosen child has a height ofmorethan 51.1 inches?

3.)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 3.2 liters.

A) What is the probability that daily production isbetween43.2 and 44.7 liters? Do not round until you get your your final answer.

4.)The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 39 liters, and standard deviation of 3.5 liters.

A) What is the probability that daily production islessthan 43.8 liters?

B) What is the probability that daily production ismorethan 32.1 liters?

please have in depth explanations on how to solve all four questions thank you in advance