Question: The following table gives a two-way classification, based on gender and employment status, of the civilian labor force age 16 to 24 years as of July 2002. The numbers in the table are in thousands.
Employed Unemployed
Male 11,232 1615
Female 1.0,353 1435
Source: U.S. Bureau of Labor Statistics, August 13, 2002.
a. If one person is selected at random from these young persons, find the probability that this person is
i. unemployed
ii. a female
iii. employed given the person is male
iv. a female given the person is unemployed
b. Are the events "employed" and "unemployed" mutually exclusive? What about the events "unemployed" and "male"?
c. Are the events "female" and "employed" independent? Why or why not?