Reference no: EM132256870
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 is between 56.25 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 of less than 55 inches?
B) What is the probability that a randomly chosen child has a height of more than 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 is between 43.2 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 is less than 43.8 liters?
B) What is the probability that daily production is more than 32.1 liters?