A quality control manager at a plant that produces o-rings is concerned about whether the diameter of the o-rings that are produced is conformable to the specification.She has calculated that the average diameter of the o-rings is 4.2 centimeters.She also knows that approximately 95% of the o-rings have diameters fall between 3.2 and 5.2 centimeters and almost all of the o- rings have diameters between 2.7 and 5.7 centimeters.When modeling the diameters of the o- rings,which distribution should the scientists use?
A)Uniform distribution
B)Binomial distribution
C)Normal distribution
D)Exponential distribution

Question

Quizplus · Accepted Answer

The normal distribution is the best choice to model the diameter of the o-rings as it has a symmetric bell shape, which corresponds to the known range of the o-ring diameters and the fact that most of them fall within a certain range. Additionally, the normal distribution is commonly used for modeling continuous variables like diameter, and it allows for calculating probabilities for different ranges of values.

A Quality Control Manager at a Plant That Produces O-Rings