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 less than or

[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 less than or =4

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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