In the textile industry, a manufacturer is interested in the number of blemishes or flaws occurring in each 100 feet of material.The probability distribution that has the greatest chance of applying to this situation is the
A) Normal distribution.
B) Binomial distribution.
C) Poisson distribution.
D) Uniform distribution.

Question

Quizplus · Accepted Answer

The Poisson distribution is used to model the number of rare events occurring in a fixed amount of time/space. Blemishes or flaws in a 100 feet material can be considered rare events, and hence the Poisson distribution is the most suitable option. The normal distribution assumes a continuous variable and does not fit the discrete nature of the blemish count in a fixed space. The binomial distribution assumes a fixed number of trials, which is not applicable in this case. The uniform distribution assumes equal probability across a range of values, which is not the case for blemishes occurring in a material.

In the Textile Industry, a Manufacturer Is Interested in the Number