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.

Unemployed

(Y=0)

Employed

(Y=1)

Total

Non-college grads (X=0)

0.0655

0.5982

0.6637

College grads (X=1)

0.0164

0.3199

0.3363

Total

0.0819

0.918

0.9999

A. The expected value of Y, denoted E(Y), is

B. The unemployment rate is the fraction of the labor force that is unemployed. Show that the unemployment rate is given by 1E(Y).

Unemploymentrate=1 (???)=1E(Y)=10.918=0.0819.

C. E(Y|x=1) is

D. E(Y|x=0) is

e. The unemployment rate for college graduates is

f. and the unemployment rate fornon-college graduates is

g. A randomly selected member of this population reports being unemployed. The probability that this worker is a college graduate is

F. and the probability that this worker is anon-college graduate is

. (Round your responses to three decimal