Problem 4. (1 point) Consider the joint probability distribution 2 m f(x,y) = Jc(xy) 0xy6 =...

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Problem 4. (1 point) Consider the joint probability distribution 2 m f(x,y) = Jc(xy) 0xy6 = {e(x5) otherwise 2 0 1 2 3 4 5 6 ff f(x,y) dxdy + f(x,y) dxdy (if rounding, use at least 4 digits after the decimal point) (if rounding, use at least 4 digits after the decimal point) (if rounding, use at least 4 digits after the decimal point) (if rounding, use at least 4 digits after the decimal point) (if rounding, use at least 4 digits after the decimal point) (if rounding, use at least 4 digits after the decimal point) Answer(s) submitted: 200 Where c is a constant. A= B= C= (a) Find the value of c = (if rounding, use at least 4 dig- its after the decimal point) D= E= F=_ (b) Given Var[X]=1582, Var[Y] = 112, Cov[X,Y] = 2. What is Var[8X-7Y-14] = 4 digits after the decimal point) (if rounding, use at least no response no response (c) Suppose we are interested in finding P(-X Problem 4. (1 point) Consider the joint probability distribution 2 m f(x,y) = Jc(xy) 0xy6 = {e(x5) otherwise 2 0 1 2 3 4 5 6 ff f(x,y) dxdy + f(x,y) dxdy (if rounding, use at least 4 digits after the decimal point) (if rounding, use at least 4 digits after the decimal point) (if rounding, use at least 4 digits after the decimal point) (if rounding, use at least 4 digits after the decimal point) (if rounding, use at least 4 digits after the decimal point) (if rounding, use at least 4 digits after the decimal point) Answer(s) submitted: 200 Where c is a constant. A= B= C= (a) Find the value of c = (if rounding, use at least 4 dig- its after the decimal point) D= E= F=_ (b) Given Var[X]=1582, Var[Y] = 112, Cov[X,Y] = 2. What is Var[8X-7Y-14] = 4 digits after the decimal point) (if rounding, use at least no response no response (c) Suppose we are interested in finding P(-X