Question

Inclusions are defects in poured metal caused by contaminants. The number of (large) inclusions in cast iron follows a Poisson distribution with a rate of 1.3 per cubic millimetre. What is the volume of material to inspect such that the probability of at least one inclusion is 0.99?  Please enter the answer to 2 decimal places.

Answer 1

Let X denote the number of inclusions per 'x' cubic millimetre.

So, Volume of area to be inspected = x = i.e. 3.54 cubic millimetre.