If P ≠ Q , the binomial distribution will still be normally distributed.

Question

Quizplus · Accepted Answer

The binomial distribution approaches a normal distribution as the sample size increases, under the condition that np and n(1-p) are both greater than 5, where n is the number of trials and p is the probability of success. The statement "If P ≠ Q" suggests a non-standard binomial distribution (where P + Q = 1 for a standard binomial distribution), but the key factor for normal approximation is not the equality of P and Q, but rather the conditions on np and n(1-p).

If P ≠ Q , the Binomial Distribution Will Still