Given events X and Y with these probabilities P(X ∪ Y ) = 0.7 = 7/10 P( Y - X) = 0.3 = 3/10 P(Y ∩ X) = 0.2 = 1/5 Calculate, and give your answer as a reduced fraction. P( (Y-X) ∪ (X-Y)) =  P(Xc) =  P(X|Y) = P(Y| Xc) =  Are X and Y mutually exclusive (yes or no)  Are X - Y and Y - X mutually exclusive (yes or no)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 1E: If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the...
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Given events X and Y with these probabilities

P(X ∪ Y ) = 0.7 = 7/10

P( Y - X) = 0.3 = 3/10

P(Y ∩ X) = 0.2 = 1/5

Calculate, and give your answer as a reduced fraction.

P( (Y-X) ∪ (X-Y)) = 

P(Xc) = 

P(X|Y) =

P(Y| Xc) = 

Are X and Y mutually exclusive (yes or no) 

Are X - Y and Y - X mutually exclusive (yes or no) 

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