??????? Convolution formula) If the random variables ( X ) and ( Y ) are independent and continuous with ensity functions ( f_{X} ) and ( f_{Y} ), then the density function of ( Z=X+Y ) is [ f_{Z}(z)= int_{- infty}^{ infty} f_{X}(x) f_{Y}(z-x) d x quad text { for } z in mathbb{R} ]

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???????  Convolution formula) If the random variables  ( X  ) and  ( Y  ) are independent and continuous with ensity functions  ( f_{X}  ) and  ( f_{Y}  ), then the density function of  ( Z=X+Y  ) is  [ f_{Z}(z)= int_{- infty}^{ infty} f_{X}(x) f_{Y}(z-x) d x  quad  text { for } z  in  mathbb{R}  ]

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