1) In the State of OH, 40 percent of all e-mails deal in some way with the depressed U.S. economy. If a random sample of 10 e-mails is selected, what is the probability of the following:
a. Exactly five e-mails deal in some way with the depressed U.S. economy?
b. Exactly five e-mails do not deal in some way with the depressed U.S. economy?
c. More than five or less than two e-mails deal in some way with the depressed U.S. economy?
d. All 10 e-mails deal in some way with the depressed U.S. economy?
2) U.S. Bureau of the Census data reveal the largest town in the State of OH has a population of one million families. The data show that acreage owned per family is normally distributed with a mean of 10.0 acres and a standard deviation of 1.5 acres. Calculate the following:
a. The percentage of families that own at least 8.1 acres.
b. The number of families that own at least 8.1 acres.
c. The percentage of families that own between 7.0 and 8.1 acres.
d. The minimum acreage owned by the 5% of families owning the largest amount of acreage.
e. If one family from the State of OH is selected at random, what is the probability that family owns more than 8.1 acres or less than 7.0 acres?