Small hard particles are found in the molten glass from which glass bottles are made. On average 20 particles are found in 100 kg of molten glass. If a bottle made of this glass contains one or more such particles it has to be discarded. Bottles of mass 1 kg are made using this glass.
Criticize the following argument:
(i) Since the material for 100 bottles contains 20 particles, approximately 20% will have to be discarded.
(ii) Making suitable assumptions, which should be stated, develop a correct argument using a Poisson model and find the percentage of faulty 1 kg bottles to 3 significant figures
