(a) Compute E(Y). The unemployment rate is the fraction of the labour force (unemployed plus employed) that is unemployed. Show that the unemployment rate is given by 1 – E(Y).

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1. 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 U.S. Census.
Joint Distribution of Employment Status
and College Graduation in the U.S. Population Aged 25-64, 1990
Unemployed (Y = 0)
Non-college grads (X = 0)
College grads (X=1)
Total
0.045
0.005
0.050
Employed (Y= 1)
0.709
0.241
0.950
Total
0.754
0.246
1.000
(a) Compute E(Y).
The unemployment rate is the fraction of the labour force (unemployed plus employed)
that is unemployed. Show that the unemployment rate is given by 1 – E(Y).
Transcribed Image Text:1. 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 U.S. Census. Joint Distribution of Employment Status and College Graduation in the U.S. Population Aged 25-64, 1990 Unemployed (Y = 0) Non-college grads (X = 0) College grads (X=1) Total 0.045 0.005 0.050 Employed (Y= 1) 0.709 0.241 0.950 Total 0.754 0.246 1.000 (a) Compute E(Y). The unemployment rate is the fraction of the labour force (unemployed plus employed) that is unemployed. Show that the unemployment rate is given by 1 – E(Y).
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