Abstract
A frequently occuring type of problem in the pharmaceutical industry is the following: A batch of ointment is sampled and the number of imipurity particles in each sample is counted. Further, particles are classified according to size, e.g. small, medium and large. It is well known that if the particles are distributed randomly in the batch and if the samples are randomly chosen, then the total number of particles in a sample will have a Poisson density. However, it is often of greater interest for quality control purposes to know the densities of each category of particles separately, since for instance, one large particle might be much more serious than several small ones. We shall show next that the density of each category of particles also follows a Poisson density, witll different parameter values.
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