Suppose X and Y are independent Poisson random variables, X~Poisson(1) and Y~ Poisson(2). Identify the conditional probability of X given X + Y = n.Hi

Suppose X and Y are independent Poisson random variables, X~Poisson(1) and Y~ Poisson(2). Identify the conditional probability of X given X + Y = n.Hint: use the definitionP(X=k|X+Y=n)= P(X=k,Y =n?k) /