For the binomial distribution with the given values for n and p
-n = 12 and p = .5
A)Normal approximation is not suitable.
B)Normal approximation is 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 10. Here, np = 12 * 0.5 = 6 and n(1-p) = 12 * 0.5 = 6, which do not meet the usual rule of thumb for the normal approximation to be suitable. However, given only these options and considering the central limit theorem's broader application as n increases, the approximation becomes more acceptable. The statement was incorrect in asserting the suitability based on the traditional rule of thumb; the correct criteria for the normal approximation to be considered suitable involve np and n(1-p) being greater than or equal to 5, not 10 as previously mentioned. Therefore, with np = 6 and n(1-p) = 6, the normal approximation is indeed suitable.

For the Binomial Distribution with the Given Values for N