The following table gives the joint probability distribution between employment status and college graduation among those either employed o looking for work (unemployed) in the working age U.S. population. Non-college grads (X=0) College grads (X=1) Total Unemployed (Y=0) 0.0554 0.0135 0.0689 Employed (Y=1) 0.6227 0.3084 0.931 Total 0.6781 0.3219 0.9999 The expected value of Y, denoted E(Y), is 0.931. (Round your response to three decimal places.) The unemployment rate is the fraction of the labor force that is unemployed. Show that the unemployment rate is given by 1-E(Y). Unemployment rate=1-1-E(Y)=1-0.931 = 0.0689.

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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.
Non-college grads (X=0)
College grads (X= 1)
Total
Unemployed
(Y=0)
0.0554
0.0135
0.0689
Employed
(Y=1)
0.6227
0.3084
0.931
Total
0.6781
0.3219
0.9999
The expected value of Y, denoted E(Y), is 0.931. (Round your response to three decimal places.)
The unemployment rate is the fraction of the labor force that is unemployed. Show that the unemployment rate is given by 1 - E(Y).
Unemployment rate = 1 -
1-E(Y)=1-0.931 = 0.0689.
Transcribed Image Text: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. Non-college grads (X=0) College grads (X= 1) Total Unemployed (Y=0) 0.0554 0.0135 0.0689 Employed (Y=1) 0.6227 0.3084 0.931 Total 0.6781 0.3219 0.9999 The expected value of Y, denoted E(Y), is 0.931. (Round your response to three decimal places.) The unemployment rate is the fraction of the labor force that is unemployed. Show that the unemployment rate is given by 1 - E(Y). Unemployment rate = 1 - 1-E(Y)=1-0.931 = 0.0689.
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