Question: [1] The joint probability density function of two continuous random variables X and Y is f(x,y) = {c,y >|x| and x^2 +y^2 =4 0, otherwise

[1] The joint probability density function of two continuous random variables X and Y is

f(x,y) = {c,y >|x| and x^2 +y^2 =4

0, otherwise

Find the value of c and the probability P[Y>1].

[2] Consider again the two random variables X and Y in problem [1]. Find the mean value of Y when X=1

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