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 1.9 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.

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Q: Inclusions are defects in poured metal caused by contaminants. The number of (large) inclusions in…

A: According to the question, the inclusions follow Poisson distribution which is given by:

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.