Question

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.

Answer 1

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.