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.
-$n = 15 \text { and } p = 0.2$
A) Normal approximation is suitable.
B) Normal approximation is not suitable.

Question

Quizplus · Accepted Answer

The normal approximation to the binomial distribution is suitable when both np and n(1-p) are greater than or equal to 5. Here, np = 15 * 0.2 = 3 and n(1-p) = 15 * 0.8 = 12. Since np is less than 5, the normal approximation is not suitable.

For the Binomial Distribution with the Given Values for N n=15 and p=0.2n = 15 \text { and } p = 0.2n=15 and p=0.2

For the Binomial Distribution with the Given Values for N $n = 15 \text { and } p = 0.2$