U.S. Department of agriculture date reveal small farms in the USA number one million owners. Small farm data show acreage farmed per owner is normally distributed with a mean of 20 acres and a standard deviation of 3 acres. calculate the following:
a. The percentage of owners that farm at least 18.1 acres.
b. The number of owners that farm at least 18.1 acres.
c. The minimum acreage farmed by the 5% of owners farming the largest amount of acreage.
d. If one owner from the USA is selected at random, what is the probability that owner farm more than 18.1 acres or less than 13. acres?