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)

0.0380

0.6287

0.6667

College grads (X=1)

0.0092

0.3241

0.3333

Total

0.0472

0.953

1.0002

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

nothing

. (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 1E(Y).

Unemploymentrate=1

=1E(Y)=10.953=0.0472.

E(Y|X=1) is

nothing

. (Round your response to three decimal places.)

E(Y|X=0) is

nothing

. (Round your response to three decimal places.)

The unemployment rate for college graduates is

nothing

, and the unemployment rate fornon-college graduates is

nothing

. (Round your responses to three decimal places.)

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

nothing

, and the probability that this worker is anon-college graduate is

nothing

. (Round your responses to three decimal places.)

Are educational achievement and employment statusindependent?

A.

Since Pr(X=0,Y=1)Pr(X=0), educational achievement and employment status are not independent.

B.

Since Pr(X=0|Y=1)=Pr(X=0), educational achievement and employment status are independent.

C.

Since Pr(X=0,Y=1)=Pr(X=0), educational achievement and employment status are independent.

D.

Since Pr(X=0|Y=1)Pr(X=0), educational achievement and employment status are not independent.