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 = 20 and p = 0.9
A) Normal approximation is suitable.
B) Normal approximation is not suitable.

Question

Quizplus · Accepted Answer

According to the normal approximation to the binomial distribution, it is suitable to use the normal approximation when both of the following conditions are met: 
1. np ≥ 10
2. n(1-p) ≥ 10

In this case, np = 18 and n(1-p) = 2, so the second condition is not met. Therefore, the normal approximation is not suitable.

For the Binomial Distribution with the Given Values for N