Even though the normal probability distribution deals with continuous variables, under certain circumstances, we can use it to approximate various discrete probability distributions. Such use of the normal probability distribution is permissible:
A) in the case of binomial probabilities, when np 5 and also nq 5
B) in the case of Poisson probabilities, when 100
C) in the case of hypergeometric probabilities, when np 1 and also n1 1
D) in all of these
E) in none of these

Question

Even though the normal probability distribution deals with continuous variables, under certain circumstances, we can use it to approximate various discrete probability distributions. Such use of the normal probability distribution is permissible:
A) in the case of binomial probabilities, when np > 5 and also nq > 5
B) in the case of Poisson probabilities, when> 100
C) in the case of hypergeometric probabilities, when np > 1 and also n1 > 1
D) in all of these
E) in none of these

Quizplus · Accepted Answer

The normal distribution can be used as an approximation for the binomial distribution when the sample size (n) is large enough and the probability of success (p) is not too close to 0 or 1. Specifically, if np > 5 and n(1-p) > 5, then the normal distribution can be used to approximate the binomial distribution.

Even Though the Normal Probability Distribution Deals with Continuous Variables