由于X,Y都服从参数为n,p的二项分布,P(X=i)=C(n,i)p^i(1-p)^(n-i),P(Y=i)=C(n,i)p^i(1-p)^(n-i).设Z=X+Y,由于X,Y是相互独立,因此P(Z=k)=P(X+Y=k)=∑(i=0,k)P(X=i,Y=k-i)=∑(i=0,k)P(X=i)P(Y=k-i)=∑(i=0,k)C(n,i)p^i(...