Even though the normal probability distribution deals with continuous variables, under certain circumstances we can use it to approximate various discrete probability distributions. Under which of these conditions is the use of the normal probability distribution 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 nq 1

Question

Even though the normal probability distribution deals with continuous variables, under certain circumstances we can use it to approximate various discrete probability distributions. Under which of these conditions is the use of the normal probability distribution 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 nq > 1

Quizplus · Accepted Answer

The use of the normal probability distribution is permissible in the case of binomial probabilities, but only when np > 5 and nq > 5. This is known as the normal approximation to the binomial distribution. For the other two options (Poisson and hypergeometric probabilities), different conditions must be met to use the normal approximation.

Even Though the Normal Probability Distribution Deals with Continuous Variables