1. Joint sample space with discrete elements and probabilities given below. (X.x) P(X.V) 2,2 0.2 2,4...

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1. Joint sample space with discrete elements and probabilities given below. (X.x) P(X.V) 2,2 0.2 2,4 0.1 3,2 0.25 3,3 0.1 5,1 0.1 6,6 0.25 a. Sketch and label carefully each of the following: 1. Exy(x.x) 2. Fx(x) 3. Fy(y) 4. fxy(x.v) 5.fx(x) 6.fy(y) 7.fx(x|y<5) 8.fx(x|y=3) b. Explain if X and Y statisticallyindependent? c. Ifw=x+y Sketch fw(w) www. 1. Joint sample space with discrete elements and probabilities given below. (X.x) P(X.V) 2,2 0.2 2,4 0.1 3,2 0.25 3,3 0.1 5,1 0.1 6,6 0.25 a. Sketch and label carefully each of the following: 1. Exy(x.x) 2. Fx(x) 3. Fy(y) 4. fxy(x.v) 5.fx(x) 6.fy(y) 7.fx(x|y<5) 8.fx(x|y=3) b. Explain if X and Y statisticallyindependent? c. Ifw=x+y Sketch fw(w) www.