1. 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 US. population for 2019.

Joint distribution of X and Y

Unemployed Employed

Y=0 Y=1 Total

Non-collegue grads (X=0) 0.037 0.500 0.537

College grads (X=1) 0.009 0.454 0.463

Total 0.046 0.954 1.000

Compute E(Y X)

(d) Calculate E(X2Y jX = 1).

(e) A randomly selected number of this population reports being employed. What

is the probability that this worker is a college graduate?

(f) Are educational achievement and employment status independent? Explain.

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