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)normal
E)exponential

Question

Quizplus · Accepted Answer

The Poisson distribution is appropriate for describing the probability of a specific number of random events occurring in a fixed interval of time or space. In this case, the number of surface nonconformities on a specific size metal piece is a discrete random variable, and it is reasonable to assume that the occurrence of nonconformities is random and independent of each other. Therefore, the Poisson distribution is the most appropriate probability distribution to describe the probability of a specific size metal sheet containing a certain number of nonconformities, such as 3 defectives. The binomial distribution is appropriate when there are a fixed number of trials with a binary outcome (such as success or failure), which is not the case here. The hypergeometric distribution is appropriate when sampling without replacement from a finite population, which is not specified in the question. The normal distribution and the exponential distribution are not appropriate for discrete random variables.

If the Number of Surface Nonconformities on a Specific Size