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

Answer:

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

Step-by-step 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.