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Correlation Coefficient

Given that x ...

Question

Given that x belongs to [0,1] and y belongs to[0,1]. Let A be the event of (x,y) satisfying y^2<=x and B be the event of (x,y) satisfying x^2<=y. Then, A)P(A intersection B)=1/3 B)A,B are exclusive C)P(A)=P(B) D)P(A union B) is not equal to 1

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