- The following table gives the joint probability distribution between employmen

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- The following table gives the joint probability distribution between employment status and college graduation among those either employed or looking for work (unemployed) in the working age U.S. population, based on the 1990 census. Joint Distribution of Employment Status and College Graduation in the U.S.Poplulation Aged 25-64 Unemployed (Y=0) Employed (Y=1) Total Non-college grads (X=0) 0.045 0.709 0.754 College grads (X=1) 0.005 0.241 0.246 Total 0.05 0.950 1.000 a. Compute E(Y). b. The unemployment rate is the fraction of the labor force that is unemployed. Show that the unemployment rate is given by . c. Calculate and . d. Calculate the unemployment rate for (i) college graduates and (ii) non-college graduates. e. A randomly selected member of the population reports being unemployed. What is the probability that this worker is a college graduate? A non-college graduate? f. Are educational achievement and unemployment status independent? Explain.

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