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For the binomial distribution with the given values for n and p, state whether or not it is suitable to use the normal distribution as an approximation. n = 24 and p = 0.6.

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3 votes

Answer:

Since both np > 5 and np(1-p)>5, it is suitable to use the normal distribution as an approximation.

Explanation:

When the normal approximation is suitable?

If np > 5 and np(1-p)>5

In this question:


n = 24, p = 0.6

So


np = 24*0.6 = 14.4

And


np(1-p) = 24*0.6*0.4 = 5.76

Since both np > 5 and np(1-p)>5, it is suitable to use the normal distribution as an approximation.

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