Question: 2.6 The following table gives the joint probability distribution between employment status and college graduation among those either employed or looking for work (unemployed) in

2.6 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 South Africa.

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 1 - E(Y).

c. Calculate E1YX = 12 and E1YX = 02.

d. Calculate the unemployment rate for (i) college graduates and (ii) noncollege graduates.

e. A randomly selected member of this population reports being unemployed.

What is the probability that this worker is a college graduate?

A non-college graduate?

f. Are educational achievement and employment status independent?

Explain.

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