SOLUTION: Suppose that x has a binomial distribution with n = 15 and p = 0.3. Is the normal approximation reasonable for this binomial distribution?

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Question 574660: Suppose that x has a binomial distribution with n = 15 and p = 0.3. Is the normal approximation reasonable for this binomial distribution?
Answer by Edwin McCravy(20064)   (Show Source): You can put this solution on YOUR website!
n = 15 and p = 0.3.
The normal approximation is reasonable for a binomial distribution
whenever this inequality is met:

                              n·p·(1-p) ≧ 10

So we substitute for n and p

                          15·0.3·(1-.3) ≧ 10
                               4.5·(.7) ≧ 10
                                   3.15 ≧ 10

That is false so the normal approximation is not 
reasonable for this binomial distribution

Edwin
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