1. The problem statement, all variables and given/known data The random variable X has the binomial distribution B(20,0.4), and the independent random variable Y has the binomial distribution B(30,0.6). State the approximate distribution of Y-X, and hence find an approximate value for P(Y-X>13) 2. Relevant equations 3. The attempt at a solution X~B(20,0.4)~N(8,4.8) Y~B(30,0.6)~(18,7.2) Y-X~N(10,12) P(Y-X>13)=P(Z>(13-10)/sqrt(12))=P(Z>0.866)=0.193 (This is the correct answer) My question is why don't we use continuity correction in this case?