Unemployed Employed (Y = 0) (Y = 1) Total Non-college grads (X = 0) 0.078 0.673 0.751 College grads (X = 1) 0.042 0.207 0.249 Total 0.12 0.88 1.000
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 population of country A.
a. Compute E(Y).
b. The
c. Calculate E(Y l X = 1) and E(Y l X = 0).
d. Calculate the unemployment rate for (i) college graduates and
(ii) non–graduates.
e. A randomly selected member of this population reports being unemployed.
What is the probability that this worker is a (i) college graduate,
(ii) non–graduate?
f. Are educational achievement and employment status independent?
Explain.
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