E the probability that a randomly selected worker who

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(e) The probability that a randomly selected worker who is reported being unemployed is a college graduate is Pr( 𝑋𝑋 = 1| 𝑌𝑌 = 0) = Pr ( X=1 , Y=0 ) Pr ( Y=0 ) = 0 . 015 0 . 068 = 0.2206 The probability that this worker is a non-college graduate is Pr( 𝑋𝑋 = 0| 𝑌𝑌 = 0) = Pr ( X=0 , Y=0 ) Pr ( Y=0 ) = 0 . 053 0 . 068 = 0.7794 (f) Educational achievement and employment status are not independent because they do not satisfy that, for all values of x and y , Pr( | ) Pr( ) Y y X x Y y = = = For example, Pr( 𝑌𝑌 = 0| 𝑋𝑋 = 0) = 0.0829 and Pr(Y = 0) = 0.068 are different
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