(adsbygoogle = window.adsbygoogle || []).push({}); 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?

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# Homework Help: Continuity correction

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