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According to the September 2018 report from the U. Bureau of Labor Statistics (available at http://www.gov/news.release/pdf/empsit.pdf ) the...

According to the September 2018 report from the U.S. Bureau of Labor Statistics (available at http://www.bls.gov/news.release/pdf/empsit.pdf) the unemployment rate for married members of the U.S. labor force was 2.0 percent when the overall unemployment rate was 3.7 percent. The same report indicates that about 53 percent of the U.S. labor force members were married at that time. Please answer questions a, b, c, d, and e based on this information.


a. If you have just met a random member of the U.S. labor force who is unemployed, what is the probability that the person is unmarried?   Show the necessary steps.                                                                             

b. What is the probability that a random member of the U.S labor force will be both unemployed and unmarried? Please show the necessary work.                           

c. What is the probability that a random member of the U.S labor force will be unemployed or unmarried? Please show the necessary work.                      

d.What is the probability that a member of the U.S labor force is neither married nor employed? Show the necessary work.                                       

e. Are being married and being employed independent events for a member of the U.S labor force? Please show how you arrived at your answer.

f. The report from the US Bureau of Labor Statistics linked above also shows that unemployment rate for those with college degree was 2 percent when the national unemployment rate was 3.7 percent in September. Assume that 32 percent the US labor force members have a college degree. If a member of the U.S. labor force is unemployed, what is the probability that the person doesn't have a college degree?   Show the necessary steps.             

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