Based on weighting the most animals in the population, the American Angus Association reported that mature Angus cows had a mean weight of 1309 pounds with a standard deviation of 157 pounds. A research randomly measures 100 mature Angus cows. Find out the probability that:
a) the average weight of the 100 mature Angus cows is greater than 1320 pounds
b) the average weight of the 100 mature Angus cows is between 1290 and 1310.

Question

Based on weighting the most animals in the population, the American Angus Association reported that mature Angus cows had a mean weight of 1309 pounds with a standard deviation of 157 pounds. A research randomly measures 100 mature Angus cows. Find out the probability that:
a) the average weight of the 100 mature Angus cows is greater than 1320 pounds
b) the average weight of the 100 mature Angus cows is between 1290 and 1310.