Question: According to the nonprofit group Zero Population Growth, 78% of the U.S. population now lives in urban areas. Scientists at Princeton University and the University of Wisconsin report that about 15% of all American adults care for ill relatives. Suppose that 11% of adults living in urban areas care for ill relatives.
a. Use the general law of multiplication to determine the probability of randomly selecting an adult from the U.S. population who lives in an urban area and is caring for an ill relative.
b. What is the probability of randomly selecting an adult from the U.S. population who lives in an urban area and does not care for an ill relative?
c. Construct a probability matrix and show where the answer to this problem lies in the matrix.
d. From the probability matrix, determine the probability that an adult lives in a nonurban area and cares for an ill relative.