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Function of two random variables (two problems revisited) 1. X binomial ( n , p ) and Y
binomial ( m , p ) . X and Y are independent. Find the distribution of Z = X + Y . 2. ( X , Y ) N (
0 , 2 ; 0 , 2 ; 0 ) . Find the distribution of Z = X 2 + Y 2 .

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  • 1. Function of two random variables (two problems revisited) 1. X binomial ( n , p ) and Y binomial ( m , p ) . X and Y are independent. Find the distribution of Z = X + Y . 2. ( X , Y ) N ( 0 , 2 ; 0 , 2 ; 0 ) . Find the distribution of Z = X 2 + Y 2 .