If the number of surface nonconformities on a specific size of metal piece is the discrete random variable in question,then the appropriate probability distribution that can describe the probability of a specific size metal sheet containing 3 defectives is given most likely by ___________________ distribution.
A)Binomial
B)Poisson
C)Hypergeometric
D)Both A and B

Question

Quizplus · Accepted Answer

The Poisson distribution is appropriate for modeling the number of events occurring in a fixed interval of time or space, given the rate of occurrence of the event. In this case, the number of surface nonconformities can be modeled using the Poisson distribution if the defect rate is constant across the entire metal sheet. The binomial distribution would be appropriate if the metal sheet was divided into a fixed number of smaller regions, each with a constant probability of containing a defect. The hypergeometric distribution would be appropriate if the metal sheet was sampled without replacement from a larger population of metal sheets with varying defect rates. Therefore, the most appropriate choice is B.

If the Number of Surface Nonconformities on a Specific Size